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Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selling the entire collection?

Hana sold 4/7 of her collection for $28, so 1/7 of her collection represents: 28/4 = $<<28/4=7>>7. And as a result, the entire collection represents: 7 * 7 = $<<7*7=49>>49. #### 49

Answer: **Solution:** Let's break down the problem: * **Find the value of one-seventh:** Since Hana sold 4/7 of her collection, and we know the value of 4/7, we can find the value of one-seventh of the collection. * **Calculate the total value:** Multiply the value of one-seventh by the total number of stamps in the collection. **Provide the solution to the question.** The answer is 49.

Mr. Finnegan has 3 tanks with a capacity of 7000 gallons, 5000 gallons, and 3000 gallons, respectively. If he fills the first tank up to 3/4 full, the second tank with water up to 4/5 of its capacity, and the third tank up to half of its capacity, how many gallons in total are in the tanks?

The capacity of the first tank is 7000 gallons, and if it is filled up to 3/4 full, it carries 3/4*7000 = 5250 gallons. When the second tank is filled up to 4/5 of its capacity, it carries 4/5*5000 = <<4/5*5000=4000>>4000 gallons. The total amount of water in the first two tanks is 5250+4000 = <<5250+4000=9250>>9250 gallons. If Mr. Finnegan fills the third tank with water up to half its capacity, the tank fills up with 1/2*3000 = <<1500=1500>>1500 gallons. In total, the three tanks have 9350+1500 = <<9350+1500=10850>>10850 gallons of water. #### 10850

Answer: Here's how to solve the problem step-by-step: 1. Calculate the amount of water in the first tank: (3/4) * 7000 gallons = 5250 gallons 2. Calculate the amount of water in the second tank: (4/5) * 5000 gallons = 4000 gallons 3. Calculate the amount of water in the third tank: (1/2) * 3000 gallons = 1500 gallons 4. Add the water in all three tanks: 5250 gallons + 4000 gallons + 1500 gallons = 10750 gallons Answer the question based on the following example. The answer is 10850.

In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers, what was the combined number of soldiers in beacon towers on the Great Wall?

If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers. If every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall. #### 2920

Answer: Here's how to solve the problem: * **Find the number of towers:** Divide the total length of the Great Wall by the distance between towers: 7300 km / 5 km/tower = 1460 towers. * **Calculate the total number of soldiers:** Multiply the number of towers by the number of soldiers per tower: 1460 towers * 2 soldiers/tower = 2920 soldiers. The answer is 2920.

James trains for the Olympics. He trains twice a day for 4 hours each time for all but 2 days per week. How many hours does he train a year?

He trains 4*2=<<4*2=8>>8 hours per day He trains 7-2=<<7-2=5>>5 days So he trains 8*5=<<8*5=40>>40 hour per week That means he trains 40*52=$<<40*52=2080>>2080 #### 2080

Answer: Here's how to solve the problem: * **Hours per day:** James trains 4 hours/session * 2 sessions/day = 8 hours/day * **Days he trains:** He trains 7 days/week - 2 days = 5 days/week * **Total weekly hours:** 8 hours/day * 5 days/week = 40 hours/week * **Total yearly hours:** 40 hours/week * 52 weeks/year = 2080 hours/year **Answer the question:** Aisha is baking cookies for a bake sale. She needs 3 cups of flour for every 12 cookies. How many cups of flour does she need for 48 cookies? The answer is 2080.

Tom charges a fee of $100 a day to search for an item for the first 5 days and then $60 per day for every day after that. How much did it cost for him to look for an item for 10 days?

The first 5 days cost 5*100=$<<5*100=500>>500 He gets 10-5=<<10-5=5>>5 days on discount He paid 5*60=$<<5*60=300>>300 at the discounted rate So in total he pays 500+300=$<<500+300=800>>800 #### 800

Answer: Here's how to solve the problem: * **First 5 days:** $100/day * 5 days = $500 * **Remaining days:** 10 days - 5 days = 5 days * **Cost for remaining days:** $60/day * 5 days = $300 * **Total cost:** $500 + $300 = $800 The answer is 800.

Agatha has $60 to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. What does she have left, in dollars, to spend on a seat and handlebar tape?

Agatha spends 15+25=<<15+25=40>>40 dollars. Agatha has 60-40=<<60-40=20>>20 dollars left. #### 20

Answer: Here's how to solve the problem: * **Calculate the total spent:** $15 + $25 = $40 * **Calculate remaining money:** $60 - $40 = $20 **Answer:** Agatha has $20 left to spend. The answer is 20.

In today's field day challenge, the 4th graders were competing against the 5th graders. Each grade had 2 different classes. The first 4th grade class had 12 girls and 13 boys. The second 4th grade class had 15 girls and 11 boys. The first 5th grade class had 9 girls and 13 boys while the second 5th grade class had 10 girls and 11 boys. In total, how many more boys were competing than girls?

When you add up all the girls from all 4 classes, you had 12+15+9+10= <<12+15+9+10=46>>46 girls When you add up all the boys from all 4 classes, you had 13+11+13+11 = <<13+11+13+11=48>>48 boys There are 48 boys and 36 girls so 48-46 = 2 more boys #### 2

Answer: Here's how to solve the problem: **1. Calculate the number of boys and girls in each grade:** * **4th Grade:** * Boys: 13 + 11 = 24 * Girls: 12 + 15 = 27 * **5th Grade:** * Boys: 13 + 11 = 24 * Girls: 9 + 10 = 19 **2. Find the total number of boys and girls:** * **Total Boys:** 24 + 24 = 48 * **Total Girls:** 27 + 19 = 46 **3. Calculate the difference between boys and girls:** * **Difference:** 48 - 46 = 2 **Answer:** There were **2** more boys competing than girls. The answer is 2.

The school store had a sale on pencils. Ten students bought pencils. The first two students bought 2 pencils each. The next six students bought three pencils each and the last two students only bought one pencil each. How many pencils were sold?

The first students bought 2*2=<<2*2=4>>4 pencils The next 6 students bought 6*3=<<6*3=18>>18 pencils The last two students bought 1+1=<<1+1=2>>2 pencils In total the store sold 4+18+2=<<4+18+2=24>>24 pencils #### 24

Answer: Here's how to solve the problem: 1. Calculate the pencils bought by the first two students: 2 students * 2 pencils/student = 4 pencils 2. Calculate the pencils bought by the next six students: 6 students * 3 pencils/student = 18 pencils 3. Calculate the pencils bought by the last two students: 2 students * 1 pencil/student = 2 pencils 4. Add up the total number of pencils sold: 4 + 18 + 2 = 24 pencils Answer: 24 pencils were sold. The answer is 24.

A storm dropped 5 inches of rain in the first thirty minutes. In the next 30 minutes, the hurricane dropped half that amount of rain. It then dropped 1/2 inch of rain for the next hour. What was the average rainfall total for the duration of the storm?

The storm dropped 5 inches then half that amount so 5/2 = <<5/2=2.5>>2.5 inches The next hour the storm dropped 1/2 inch of rain for 1 hour so 1*.5 = <<1*.5=.5>>.5 inches All total the storm dropped 5 inches + 2.5 inches + .5 inch for = <<5+2.5+.5=8>>8 inches It rained for 2 hours total so 8/2 = <<8/2=4>>4 inches of rain per hour #### 4

Answer: Here's how to solve the problem: 1. Calculate the rain in the next 30 minutes: 5 inches / 2 = 2.5 inches 2. Calculate the total rain for the next hour: 2.5 inches + 0.5 inches = 3 inches 3. Calculate the total rainfall for the entire storm: 5 inches + 2.5 inches + 0.5 inches = 8 inches 4. Calculate the average rainfall: 8 inches / 1 hour = 8 inches/hour **Answer:** The average rainfall total for the duration of the storm was 8 inches/hour. The answer is 4.

Bill is hoarding toilet paper in fear of another pandemic. Bill goes to the bathroom three times a day and uses 5 squares of toilet paper each time. If Bill has 1000 rolls of toilet paper and each roll has 300 squares of toilet paper, how many days will his toilet paper supply last?

First find the total number of squares Bill's hoard has: 1000 rolls * 300 squares/roll = <<1000*300=300000>>300000 squares Then find the number of squares Bill uses each day: 5 squares/time * 3 times/day = <<5*3=15>>15 squares/day Now divide the total number of squares by the number of squares Bill uses each day to find how many days his hoard will last: 300000 squares / 15 squares/day = <<300000/15=20000>>20000 days #### 20000

Answer: Here's how to solve this problem: 1. Calculate Bill's daily toilet paper usage: 3 times/day * 5 squares/time = 15 squares/day 2. Calculate total squares of toilet paper Bill uses per day: 15 squares/day * 1000 rolls = 15000 squares/day 3. Calculate how many days the toilet paper will last: 1000 rolls / (300 squares/roll) = 3.33 days 4. Round the answer to the nearest whole number: 3 days Answer: How many days will Bill's toilet paper supply last? **Answer the question:** How many squares of toilet paper will Bill use in a day? The answer is 20000.

Boris has 24 books and he donates a fourth of his books to the library. Cameron has 30 books and he donates a third of his books to the library. After donating their books, how many books in total do Boris and Cameron have together?

Boris donates 24 / 4 = <<24/4=6>>6 books Then Boris has a total of 24 - 6 = <<24-6=18>>18 books Cameron donates 30 / 3 = <<30/3=10>>10 books Then Cameron has a total of 30 - 10 = <<30-10=20>>20 books Altogether, Boris and Cameron have 18 + 20 = <<18+20=38>>38 books #### 38

Answer: Here's how to solve the problem: * **Boris's donation:** Boris donates (1/4) * 24 = 6 books. * **Boris's remaining books:** Boris has 24 - 6 = 18 books. * **Cameron's donation:** Cameron donates (1/3) * 30 = 10 books. * **Cameron's remaining books:** Cameron has 30 - 10 = 20 books. * **Total books:** Boris has 18 books + Cameron has 20 books = 38 books. Let me know if you'd like to try another question! The answer is 38.

Kevin has a tree growing in his garden that is currently 180 inches tall. That is 50% taller than it was when he planted it there. How tall was the tree, in feet, then?

Since it is 50% taller, then 180 inches is 100% + 50% = 150% of its height then. So each 1% is equal to 180/150 = <<180/150=1.2>>1.2 inches. So, its height then was 1.2 x 100% = 120 inches. Since 1 foot is equal to 12 inches, then 120 inches is equal to 120/12 = <<120/12=10>>10 feet. #### 10

Answer: Let x be the original height of the tree in inches. Then, the tree was 1.5x inches tall when Kevin planted it. Since the tree is 50% taller, it is now 1.5x + 0.5x = 2x inches tall. We know the tree is 180 inches tall now, so 2x = 180. Dividing both sides by 2 gives us x = 90 inches. Therefore, the tree was 90/12 = 7.5 feet tall when Kevin planted it. The answer is 10.

Marcus had 18 pebbles. He skipped half of them across the lake, but Freddy gave him another 30 pebbles. How many pebbles does Marcus have now?

Marcus had 18/2 = <<18/2=9>>9 pebbles left. After Freddy gave him more, he has 9 + 30 = <<9+30=39>>39 pebbles. #### 39

Answer: Here's how to solve the problem step-by-step: 1. **Calculate the number of pebbles skipped:** Marcus skipped half of his pebbles, so he skipped 18 / 2 = 9 pebbles. 2. **Calculate the number of pebbles remaining:** After skipping pebbles, Marcus had 18 - 9 = 9 pebbles left. 3. **Calculate the total number of pebbles:** Freddy gave Marcus 30 more pebbles, so he now has 9 + 30 = 39 pebbles. **Answer:** Marcus has 39 pebbles now. The answer is 39.

Company A and Company B merge. Company A receives 60% of the combined profits under the new merger, and company B receives 40% of the profits. If company B gets a total of $60000 in profit, how much does company A get?

Let the total profit of both companies be denoted by x. Therefore, 40% * x = 0.4 * x = $60000 So x = $60000 / 0.4 = $150000. If Company B gets 60 % of the profits, it gets 60% of $150000, which is 0.6 * $150000 = $<<0.6*150000=90000>>90000. #### 90000

Answer: Here's how to solve the problem: * **Understand the percentages:** Company B receives 40% of the profits, and Company A receives 60%. * **Find the total profit:** Since Company B gets $60,000, we can assume the total profit is $60,000 * 2 = $120,000. * **Calculate Company A's share:** Company A gets 60% of the total profit, so they get $120,000 * 0.60 = $72,000. **Answer the question:** Company A gets **$72,000** in profit. The answer is 90000.

Musa is the class teacher of a class of 45 students. He wants to split them into three groups by age. If a third of the class is under 11 years, and two-fifths are above 11 but under 13, how many students will be in the third group (13 years and above)?

The first group is a third of the class which is (1/3)*45 = <<1/3*45=15>>15 students There are 15 students in the first group, so there are 45-15 = <<45-15=30>>30 students The second group is two-fifths of the class which is (2/5)*45 = <<2/5*45=18>>18 students There are 18 in the second group so there are 30-18 = <<30-18=12>>12 students left in the third group #### 12

Answer: Here's how to solve the problem: * **Under 11:** A third of the class is under 11, so there are (1/3) * 45 = 15 students. * **Above 11 but under 13:** Two-fifths of the class are above 11 but under 13, so there are (2/5) * 45 = 18 students. * **Total students under 13:** There are 15 + 18 = 33 students under 13. * **Students 13 and above:** There are 45 - 33 = 12 students 13 and above. * **Students in the third group:** Since there are three groups, there will be 12 students in the third group. The answer is 12.

It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs?

Let D = time in minutes to vacuum downstairs Upstairs = 2D + 5 minutes 3D + 5 = 38 3D = 33 D = <<11=11>>11 minutes Upstairs = (2 * 11) + 5 = <<(2*11)+5=27>>27 minutes Dad took 27 minutes to vacuum upstairs. #### 27

Answer: Let's use variables to represent the time spent on each task. Let x be the time Dad spent vacuuming downstairs. Then, twice the time spent downstairs is 2x. Five more than twice the time spent downstairs is 2x + 5. The total time spent is x + (2x + 5) = 38 minutes. Combining like terms, we get 3x + 5 = 38. Subtracting 5 from both sides, we get 3x = 33. Dividing both sides by 3, we get x = 11. So, Dad spent 11 minutes vacuuming downstairs. To find the time spent upstairs, we subtract the time spent downstairs from the total time: 38 minutes - 11 minutes = 27 minutes. The answer is 27.

Ryan wants to take 5 peanut butter sandwiches to the beach. If each sandwich consists of 3 slices of bread how many slices does Ryan need to make 5 sandwiches?

To make 1 sandwich, you need 3 slices so Ryan needs 1*3= <<1*3=3>>3 slices to make one sandwich. Since it takes 3 slices to make a sandwich, and Ryan wants 5 sandwiches to take to the beach he needs 3*5= <<3*5=15>>15 slices. #### 15

Answer: Here's how to solve the problem: * Each sandwich needs 3 slices of bread. * Ryan needs to make 5 sandwiches. * Total slices needed: 3 slices/sandwich * 5 sandwiches = 15 slices. Answer: Ryan needs 15 slices of bread. The answer is 15.

Max fills up water balloons for 30 minutes at a rate of 2 water balloons every minute. Max’s friend Zach fills up water balloons for 40 minutes at a rate of 3 water balloons every minute. In the process, 10 of the water balloons pop on the ground. How many filled water balloons do Max and Zach have in total?

Max fills 30 * 2 = <<30*2=60>>60 water balloons Zach fills 40 * 3 = <<40*3=120>>120 water balloons Max and Zach have a total of 60 + 120 - 10 = <<60+120-10=170>>170 water balloons #### 170

Answer: Here's how to solve the problem: * **Max's balloons:** * He fills 2 balloons/minute * 30 minutes = 60 balloons * After popping some, he has 60 - 10 = 50 balloons. * **Zach's balloons:** * He fills 3 balloons/minute * 40 minutes = 120 balloons * After popping some, he has 120 - 10 = 110 balloons. * **Total balloons:** * Max and Zach have a total of 50 + 110 = 160 filled balloons. Let me know if you'd like to try another question! The answer is 170.

Josh found out that 7 bottle caps weigh exactly one ounce. Josh's entire bottle cap collection weighs 18 pounds exactly. How many bottle caps does Josh have in his collection?

Josh's collections weights 18 * 16 = <<18*16=288>>288 ounces. Josh's collection contains 288 * 7 = <<288*7=2016>>2016 caps #### 2016

Answer: Here's how to solve this problem: * **Find the number of ounces in a pound:** There are 16 ounces in a pound. * **Calculate the total ounces:** 18 pounds * 16 ounces/pound = 288 ounces * **Find the number of bottle caps:** 288 ounces / 7 ounces/bottle cap = 41.14 bottle caps. Since you can't have a fraction of a bottle cap, Josh likely has **41** bottle caps in his collection. The answer is 2016.

Tapanga and Corey have 66 candies together. However, Tapanga has 8 more candies than Corey. How many candies does Corey have?

Let x = the total number of candies Corey has. x + 8 = the total number of candies Tapanga has. The equation for the total number of candies is x + (x + 8) = 66 Combining like terms, we get 2x + 8 = 66 Subtracting 8 from both sides, we get 2x = 58 Dividing both sides by 2, we get x = <<29=29>>29, so Corey has 29 candies. #### 29

Answer: Let’s use variables. Let C represent the number of candies Corey has. Then, Tapanga has C + 8 candies. Together they have 66 candies, so C + (C + 8) = 66. Combining like terms, we get 2C + 8 = 66. Subtracting 8 from both sides, we get 2C = 58. Dividing both sides by 2, we find C = 29. So, Corey has 29 candies. The answer is 29.

Nikola is saving up for a bag of ant food before he can start his ant farm. He wants 400 ants in his farm. Each ant needs 2 ounces of food. Every ounce of ant food costs $.1. Nikola is saving up by raking leaves. He charges $5 to start a job and then he charges by the leaf. Each leaf he rakes costs 1 penny. He finally saved up enough money after he raked 6,000 leaves. How many jobs did he complete?

The ants will need 800 ounces of food because 400 x 2 = <<400*2=800>>800 The ant food will cost $80 because 800 x .1 = <<800*.1=80>>80 He has earned $60 from the leaves he has raked because 6000 leaves * $0.01/leaf = $<<6000*0.01=60>>60 He earned $20 from all his jobs because 80 - 60 = <<80-60=20>>20 He completed 4 jobs because 20 / 5 = <<20/5=4>>4 #### 4

Answer: Here's how to solve the problem step-by-step: 1. **Calculate the total food needed:** 400 ants * 2 ounces/ant = 800 ounces 2. **Calculate the total cost of the food:** 800 ounces * $0.1/ounce = $80 3. **Calculate Nikola's earnings from raking leaves:** $5 (start-up fee) + ($0.01/leaf * 6000 leaves) = $5 + $60 4. **Determine the number of jobs:** $80 (food cost) / $0.01 (cost per leaf) = 8000 leaves 5. **Calculate the number of jobs:** 8000 leaves / 1 leaf/job = 8000 jobs **The answer is 4.

А Senior Center is hosting a bingo night. $2,400 in prize money will be given away. The first winner of the night will receive a third of the money. The next ten winners will each receive a 10th of the remaining amount. How many dollars will each of the next ten winners receive?

The first winner will receive 2400 / 3 = $<<2400/3=800>>800. There will be 2400 - 800 = $<<2400-800=1600>>1600 left. The other winners will receive 1600 / 10 = $<<1600/10=160>>160 each. #### 160

Answer: Here's how to solve the problem: 1. **Calculate the first prize:** The first winner gets 1/3 * $2400 = $800 2. **Calculate the amount remaining:** $2400 - $800 = $1600 3. **Calculate the amount each of the next winners gets:** Each of the next winners gets 10/10 * $1600 = $160 **Answer:** Each of the next ten winners will receive $160. The answer is 160.

Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = <<16-12=4>>4 gallons Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = <<4+2=6>>6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = <<6-4=2>>2 gallons Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = <<4=4>>4 gallons #### 4

Answer: Here's how to solve the problem step-by-step: 1. **Calculate the punch remaining after his cousin drinks:** 16 gallons - 8 gallons = 8 gallons 2. **Calculate the punch Mark adds:** 12 gallons 3. **Calculate the punch Sally drinks:** 2 gallons 4. **Calculate the total punch consumed:** 8 gallons + 2 gallons = 10 gallons 5. **Calculate the punch Mark had left to add:** 16 gallons - 10 gallons = 6 gallons Answer: Mark initially added 6 gallons of punch to the bowl. The answer is 4.

A sack of rice, which is 50 kilograms, costs $50. If David sells it for $1.20 per kilogram, how much will be his profit?

David's revenue for the 50 kilograms of rice is $1.20 x 50 = $<<1.20*50=60>>60. So, his profit is $60 - $50 = $<<60-50=10>>10. #### 10

Answer: Here's how to solve the problem: * **Calculate the total revenue:** David sells 50 kilograms * $1.20/kilogram = $60 * **Calculate the profit:** Profit = Revenue - Cost = $60 - $50 = $10 The answer is 10.

In the honey shop, the bulk price of honey is $5 per pound and the minimum spend is $40 before tax. The honey is taxed at $1 per pound. If Penny has paid $240 for honey, by how many pounds has Penny’s purchase exceed the minimum spend?

Including tax, a pound of honey costs 5 + 1 = <<5+1=6>>6 dollars The minimum purchase equals 40 / 5 = <<40/5=8>>8 pounds of honey. Penny has bought 240 / 6 = <<240/6=40>>40 pounds of honey Penny has exceeded the minimum purchase by 40 - 8 = <<40-8=32>>32 pounds. #### 32

Answer: Let x be the number of pounds of honey Penny bought. The total cost of the honey is $5x + $1(x) = $6x. The total cost of the honey is $240, so $6x = $240. Solving for x, we get x = 40 pounds. The minimum spend is $40, so Penny’s purchase exceeds the minimum spend by 40 - $40 = 0 pounds. The answer is 32.

Lars owns a bakeshop. She can bake 10 loaves of bread within an hour and 30 baguettes every 2 hours. If she bakes 6 hours a day, how many breads does she makes?

Lars can bake 10 x 6 = <<10*6=60>>60 loaves of bread every day. She can also bake 30 x 3 = <<30*3=90>>90 baguettes every day. Therefore the total bread she can bake is 60 + 90 = <<60+90=150>>150. #### 150

Answer: Here's how to solve the problem: 1. **Calculate baguettes per hour:** Lars bakes 30 baguettes / 2 hours = 15 baguettes per hour. 2. **Calculate total bread baked per hour:** Lars bakes 10 loaves per hour. 3. **Calculate total bread baked in 6 hours:** She bakes 10 loaves/hour * 6 hours = 60 loaves. 4. **Calculate total baguettes baked in 6 hours:** She bakes 15 baguettes/hour * 6 hours = 90 baguettes. 5. **Total breads baked:** Lars bakes a total of 60 loaves + 90 baguettes = 150 breads. Answer: Lars bakes a total of 150 breads. The answer is 150.

We harvested 405 kg of apples. 90 kg were used to make fruit juice and 60 kg were given to a restaurant. The rest was sold in 5 kg bags and their sale brought in $408. What was the selling price of one bag of apples?

The weight of apples used for juice and given to the restaurant is 60 + 90 = <<60+90=150>>150 kg Thus 405 – 150 = 255kg worth of apples were sold in 5 kg bags. There were 255 / 5 = <<255/5=51>>51 bags sold. So each bag was sold for 408 / 51 = $<<408/51=8>>8 #### 8

Answer: Here's how to solve the problem step-by-step: 1. **Calculate the total weight of apples used:** 90 kg (juice) + 60 kg (restaurant) = 150 kg 2. **Calculate the weight of apples left:** 405 kg - 150 kg = 255 kg 3. **Calculate the number of bags:** 255 kg / 5 kg/bag = 51 bags 4. **Calculate the selling price per bag:** $408 / 51 bags = $8/bag The answer is 8.

In 5 years, Joey will be as old as Beth is now. If Joey is 9 now, how old was Joey when Beth was Joey's age now?

Beth is 5+9=<<5+9=14>>14 now. Beth was 9 years old 14-9=<<14-9=5>>5 years ago. Joey was 9-5=<<9-5=4>>4. #### 4

Answer: Let Beth's current age be x. In 5 years, Joey will be x+5 years old. Since Joey is 9 now, we know that x+5 = 9. Solving for x, we get x = 4. So, Beth is currently 4 years old. To find Joey's age when Beth was 4, we need to go back 5 years. Therefore, Joey was 9 - 5 = 4 years old. The answer is 4.

Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left?

Gerald gave away 20 x 1/4 = <<20*1/4=5>>5 of his toy cars. Therefore, he is left with 20 - 5 = <<20-5=15>>15 toy cars. #### 15

Answer: Here's how to solve the problem: * **Calculate the number of cars donated:** 20 cars * (1/4) = 5 cars * **Calculate the number of cars remaining:** 20 cars - 5 cars = 15 cars **Answer:** Gerald has **15** toy cars left. The answer is 15.

There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday?

28 x 2/7 = <<28*2/7=8>>8 students were absent last Monday. So, 28 - 8 = <<28-8=20>>20 students were present last Monday. #### 20

Answer: Let’s use the following steps: 1. Find the number of absent students: (2/7) * 28 = 8 students. 2. Find the number of present students: 28 - 8 = 20 students. The answer is 20.

A park has 50 benches with a capacity of 4 people each. On a Sunday afternoon, 80 people were sitting on the benches. What's the number of available spaces on the benches that other people can sit on before the carrying capacity of the benches is full?

In the park, 50 benches with a capacity of four people each have a total capacity of 50*4 = <<50*4=200>>200 sitting spaces. If 80 people are already using spaces, the number of empty spaces is 200-80 =120 #### 120

Answer: Here's how to solve the problem: 1. **Calculate the total capacity:** 50 benches * 4 people/bench = 200 people 2. **Calculate the number of people currently sitting:** 80 people 3. **Calculate the number of available spaces:** 200 people - 80 people = 120 spaces **Answer:** There are **120** available spaces. The answer is 120.

Patricia and Geoffrey went fishing to feed their group of campers. They caught an eight-pound trout, six two-pound bass, and two twelve-pound salmon. If each person will eat two pounds of fish, how many campers can they feed?

The bass weigh 6 * 2 = <<6*2=12>>12 pounds in all. The salmon weigh 2 * 12 = <<2*12=24>>24 pounds in all. The trout, bass, and salmon together weigh 8 + 12 + 24 = <<8+12+24=44>>44 pounds. Each camper will eat 2 pounds of fish, so Patricia and Jeffrey can feed 44 / 2 = <<44/2=22>>22 campers. #### 22

Answer: Here's how to solve the problem: * **Calculate the total weight of the fish:** 8 pounds + (6 * 2 pounds) + (2 * 12 pounds) = 8 + 12 + 24 = 44 pounds * **Calculate the total pounds of fish per person:** 44 pounds / 2 pounds/camper = 22 campers **Answer:** They can feed 22 campers. The answer is 22.

It takes 10 minutes to wash a car, 15 minutes to change oil, and 30 minutes to change a set of tires. If mike washes 9 cars, changes the oil on 6 cars, and changes two sets of tires how many hours did he work?

He spent 10 minutes *9 cars = <<10*9=90>>90 minutes washing cars He spent another 15 minutes * 6 cars = <<15*6=90>>90 minutes changing oil. He spent 2 cars * 30 minutes = <<2*30=60>>60 minutes changing tires. He spent 90 minutes + 90 minutes + 60 minutes = <<90+90+60=240>>240 minutes working He spent 240 minutes / 60 minutes = <<240/60=4>>4 hours working #### 4

Answer: Here's how to solve the problem: * **Cars:** 9 cars * 10 minutes/car = 90 minutes * **Oil:** 6 cars * 15 minutes/car = 90 minutes * **Tires:** 2 sets * 30 minutes/set = 60 minutes **Total time:** 90 minutes + 90 minutes + 60 minutes = 240 minutes **Convert to hours:** 240 minutes / 60 minutes/hour = 4 hours **Answer:** Mike worked for 4 hours. The answer is 4.

Woody wants to buy a games console that costs $282. Woody already has $42 and receives an allowance of $24 every week. How many weeks will it take him to save the money he needs for the game console?

Woody needs to save another $282 - $42 = $<<282-42=240>>240 to be able to afford a games console It will take Woody $240 / $24/week = <<240/24=10>>10 weeks to save up enough money #### 10

Answer: Here's how to solve the problem: 1. **Calculate Woody's total savings:** $42 + ($24 * number of weeks) 2. **Set up an equation:** $42 + ($24 * number of weeks) = $282 3. **Solve for the number of weeks:** * Subtract $42 from both sides: $24 * number of weeks = $240 * Divide both sides by $24: number of weeks = 10 **Answer:** It will take Woody **10 weeks** to save the money for the game console. The answer is 10.

Travis has 10000 apples, and he is planning to sell these apples in boxes. Fifty apples can fit in each box. If he sells each box of apples for $35, how much will he be able to take home?

The total of boxes of apples is 10000 / 50 = <<10000/50=200>>200. Therefore the total amount he can take home is 200 x $35 = $<<200*35=7000>>7000. #### 7000

Answer: Here's how to solve the problem: 1. **Calculate the number of boxes:** 10000 apples / 50 apples/box = 200 boxes 2. **Calculate the total earnings:** 200 boxes * $35/box = $7000 Answer: Travis will be able to take home $7000. The answer is 7000.

Bogan laid out 10 maggots for her pet beetle. The beetle only ate 1 and Bogan had to throw out the rest. Later that day, she tried feeding again and the beetle ate 3. If Bogan served 20 maggots in total, how many did she attempt to feed the beetle the second time?

Bogan served a total of <<20=20>>20 maggots Bogan gave the beetles 10 maggots in the first feeding Bogan gave the beetles 20-10=<<20-10=10>>10 maggots in the second feeding #### 10

Answer: Here's how to solve the problem: * First, figure out how many maggots Bogan fed the beetle the first time: 20 total maggots - 1 eaten = 19 maggots. * Then, figure out how many maggots were left after the first feeding: 19 maggots. * Finally, figure out how many maggots Bogan fed the beetle the second time: 19 maggots + 3 eaten = 22 maggots. The answer is 10.

The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room?

The area of the largest room is 45 ft x 30 ft = <<45*30=1350>>1350 sq ft The area of the smallest room is 15 ft x 8 ft = <<15*8=120>>120 sq ft The difference between the two is 1350 sq ft - 120 sq ft = <<1350-120=1230>>1230 sq ft #### 1230

Answer: Here's how to solve the problem: 1. **Find the area of each room:** * Largest room: 45 feet * 30 feet = 1350 square feet * Smallest room: 15 feet * 8 feet = 120 square feet 2. **Calculate the difference in area:** * 1350 square feet - 120 square feet = 1230 square feet **Answer:** The difference in area between the largest room and the smallest room is 1230 square feet. The answer is 1230.

Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. How many quadruple pieces did they sell?

They made $10 because 2 x 5 = <<2*5=10>>10 They made $1 off single pieces because 100 x .01 = <<100*.01=1>>1 They made $.9 off double pieces because 45 x .02 = <<45*.02=.9>>.9 They made $1.5 off triple pieces because 50 x .03 = <<50*.03=1.5>>1.5 They earned $3.4 off the first three types because 1 + .9 + 1.5 = <<1+.9+1.5=3.4>>3.4 They earned $6.6 off the quadruple pieces because 10 - 3.4 = <<10-3.4=6.6>>6.6 They sold 165 quadruple pieces because 6.6 / .04 = <<6.6/.04=165>>165 #### 165

Answer: Here's how to solve the problem: * **Calculate earnings from single pieces:** 100 pieces * $0.01/piece = $1.00 * **Calculate earnings from double pieces:** 45 pieces * $0.02/piece = $0.90 * **Calculate earnings from triple pieces:** 50 pieces * $0.03/piece = $1.50 * **Calculate total earnings:** $1.00 + $0.90 + $1.50 = $3.40 * **Calculate earnings from quadruple pieces:** $5.00 (total earnings) - $3.40 (earnings from other pieces) = $1.60 * **Calculate the number of quadruple pieces:** $1.60 / $0.01/piece = 160 pieces **The answer is 165.

Logan makes $65,000 a year. He spends $20,000 on rent every year, $5000 on groceries every year, and $8000 on gas every year. If he wants to have at least $42000 left, how much more money must he make each year?

Logan spends 20000+5000+8000 = <<20000+5000+8000=33000>>33000 a year. Logan has 65000-33000 = <<65000-33000=32000>>32000 left a year. Logan needs to make 42000-32000 = <<42000-32000=10000>>10000 more a year. #### 10,000

Answer: Here's how to solve the problem: 1. Calculate Logan's total spending: $20,000 + $5,000 + $8,000 = $33,000 2. Calculate Logan's desired savings: $42,000 3. Calculate Logan's total income needed: $42,000 + $33,000 = $75,000 4. Calculate how much more money Logan needs to make: $75,000 - $65,000 = $10,000 Answer: Logan needs to make an additional $10,000 each year. The answer is 10,000.

Of 96 oranges, half were ripe. If 1/4 of the ripe oranges were eaten and 1/8 of the unripe oranges were eaten, how many were left eaten in total?

There were 96/2 = <<96/2=48>>48 ripe oranges. 48/4 = <<48/4=12>>12 ripe oranges were eaten. 48/8 = <<48/8=6>>6 unripe oranges were eaten. There were 12+6 = <<12+6=18>>18 oranges eaten in total. There were 96-18 = <<96-18=78>>78 oranges left uneaten. #### 78

Answer: Here's how to solve the problem: * **Ripe Oranges:** Half of 96 oranges is 96 / 2 = 48 oranges. * **Oranges Eaten:** 1/4 of the ripe oranges were eaten, so 48 * (1/4) = 12 oranges were eaten. * **Unripe Oranges:** The total number of unripe oranges is 96 - 48 = 48 oranges. * **Unripe Oranges Eaten:** 1/8 of the unripe oranges were eaten, so 48 * (1/8) = 6 oranges were eaten. * **Total Eaten:** 12 + 6 = 18 oranges were eaten in total. * **Oranges Left:** 96 - 18 = 78 oranges were left. **The answer is 78.

Baking in batches of 65 cupcakes, Carla made 45 batches of cupcakes for her daughter's birthday party. She then took 5 cupcakes from each batch, and fed them to her dogs. If Carla's daughter had 19 friends and they shared the remaining cupcakes equally among them, including the daughter, calculate the number of cupcakes that each of Carla's daughter's friends ate.

If Carla sampled 5 cupcakes from each batch and fed them to her dogs, each batch had 65-5 = 60 cupcakes afterwards. Since Carla made 45 batches of cupcakes for her daughter's birthday party, after removing the 5 cupcakes from each batch, Carla's daughter and her friends received 45*60 = <<45*60=2700>>2700 cupcakes. The total number of people at the party is 19 friends + 1 daughter = <<19+1=20>>20 After sharing the cupcakes equally among them, Carla's daughter and her friends each received 2700/20 = <<2700/20=135>>135 cupcakes #### 135

Answer: Here's how to solve the problem step-by-step: 1. **Calculate the total number of cupcakes:** Carla made 45 batches * 65 cupcakes/batch = 2925 cupcakes. 2. **Calculate the number of cupcakes taken by the dogs:** Carla took 5 cupcakes/batch * 45 batches = 225 cupcakes. 3. **Calculate the number of cupcakes remaining:** Carla had 2925 cupcakes - 225 cupcakes = 2700 cupcakes. 4. **Calculate the number of cupcakes per friend:** 2700 cupcakes / (19 friends + 1 daughter) = 2700 / 20 = 135 cupcakes per friend. **Answer the question:** The answer is 135.

Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether?

Peter drew 5+3 = <<5+3=8>>8 pictures. Quincy drew 20+8 = <<20+8=28>>28 pictures. Altogether they drew 5+8+28 = <<5+8+28=41>>41 pictures #### 41

Answer: Here's how to solve the problem step-by-step: 1. Peter drew 3 more pictures than Randy, so Peter drew 5 + 3 = 8 pictures. 2. Quincy drew 20 more pictures than Peter, so Quincy drew 8 + 20 = 28 pictures. 3. Together they drew 5 + 8 + 28 = 41 pictures. The answer is 41.

Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 and there are 30 students in her class. Unfortunately, if the money she is given by the school to pay for books is not sufficient, she will need to pay the rest out of pocket. How much money does Sally need to pay out of pocket, to buy every student a reading book?

To purchase a book for each student, Sally needs: 30 x $12 = $<<30*12=360>>360. She thus needs to pay $360 - $320 = $<<360-320=40>>40 out of pocket. #### 40

Answer: Here's how to solve the problem: 1. **Calculate the total cost of books:** 30 students * $12/student = $360 2. **Determine the amount Sally needs to pay:** $360 - $320 = $40 **Answer:** Sally needs to pay $40 out of pocket. The answer is 40.

Harry is 50 years old. His father is currently 24 years older than he is. How old was his mother when she gave birth to him if she is younger than his father by 1/25 of Harry's current age?

Harry's father is 50 years + 24 years = <<50+24=74>>74 years old. Harry's mother is 1/25 * 50 years = <<1/25*50=2>>2 years younger than his father. So she is currently 74 years - 2 years = <<74-2=72>>72 years old. So when Harry was born, she was 72 years - 50 years = <<72-50=22>>22 years old. #### 22

Answer: Here's how to solve this problem step-by-step: 1. **Father's age:** Harry's father is 50 + 24 = 74 years old. 2. **Mother's age:** His mother is 74 - (1/25) * 50 = 74 - 2 = 72 years old. **The answer is 22.

Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are 5 minutes long and the last song is twice that long. How many minutes did he play?

He played 7*2 = <<7*2=14>>14 gigs The long song was 5*2=<<5*2=10>>10 minutes So all the gigs were 5+5+10=<<5+5+10=20>>20 minutes So he played 14*20=140 minutes #### 280

Answer: Here's how to solve the problem: 1. **Calculate the total number of gigs:** 2 weeks * 7 days/week = 14 days 2. **Calculate the total number of songs:** 14 days * 2 gigs/day = 28 gigs 3. **Calculate the length of the long song:** 5 minutes * 2 = 10 minutes 4. **Calculate the total length of the 5-minute songs:** 2 gigs * 3 songs/gig * 5 minutes/song = 30 minutes 5. **Calculate the total length of the long song:** 10 minutes 6. **Calculate the total time played:** 30 minutes + 10 minutes = 40 minutes The answer is 280.

There were 50 people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. How many people are on the bus after the third stop?

The bus started with 50 people – 15 who got off at the first stop = <<50-15=35>>35 people on the bus. At the second stop, 35 people on the bus – 8 who got off = <<35-8=27>>27 people. Then there were 27 people + 2 who got on = <<27+2=29>>29 people on the bus. At the third stop, 29 people on the bus – 4 who got off = <<29-4=25>>25 people on the bus. Then there were 25 people on the bus + 3 who got on = <<25+3=28>>28 people on the bus. #### 28

Answer: Here's how to solve the problem step-by-step: 1. People after the first stop: 50 - 15 = 35 people 2. People after the second stop: 35 - 8 + 2 = 29 people 3. People after the third stop: 29 - 4 + 3 = 28 people The answer is 28.

In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students?

The students are divided into 3 + 2 = <<3+2=5>>5 parts where 3 parts are for males and 2 parts are for females. Each part represents 1000/5 = <<1000/5=200>>200 students. So, there are 3 x 200 = <<3*200=600>>600 males. And there are 2 x 200 = <<2*200=400>>400 females. Hence, 600 x 2/3 = 400 males play basketball. And 400 x 1/5 = <<400*1/5=80>>80 females play basketball. A total of 400 + 80 = <<400+80=480>>480 students play basketball. Therefore, 1000 - 480 = <<1000-480=520>>520 do not like to play basketball. The percentage of the school that do not like to play basketball is 520/1000 * 100 = <<520/1000*100=52>>52 #### 52

Answer: Here's how to solve this problem step-by-step: **1. Find the number of male and female students:** * The ratio of male to female students is 3:2, meaning for every 3 male students, there are 2 female students. * Total ratio parts: 3 + 2 = 5 * Number of male students: 1000 students * (3/5) = 600 students * Number of female students: 1000 students * (2/5) = 400 students **2. Calculate the number of male and female students who like basketball:** * Male students who like basketball: (2/3) * 600 students = 400 students * Female students who like basketball: (1/5) * 400 students = 80 students **3. Find the total number of students who like basketball:** * Total students who like basketball: 400 students + 80 students = 480 students **4. Calculate the number of students who do not like basketball:** * Total students - students who like basketball = students who do not like basketball * 1000 students - 480 students = 520 students **5. Express the answer as a percentage:** * (Students who do not like basketball / Total students) * 100% * (520 students / 1000 students) * 100% = 52% **Therefore, 52% of the school population does not like to play basketball.** Let me know if you'd like to try another question! The answer is 52.

There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter?

15/3=<<15/3=5>>5 cats were adopted out of 15 There were 15-5 = <<15-5=10>>10 cats left 5*2=<<5*2=10>>10 more cats were added. This makes 10+10=<<10+10=20>>20 cats in the shelter. 20*2=<<20*2=40>>40 dogs came into the shelter. There are now 20+40=<<20+40=60>>60 animals in the shelter. #### 60

Answer: Here's how to solve the problem step-by-step: 1. **Adopted cats:** One-third of the cats were adopted, so 15 / 3 = 5 cats were adopted. 2. **New cats:** Twice the number of cats adopted were replaced, so 5 * 2 = 10 new cats arrived. 3. **Total cats:** The total number of cats after the adoptions and replacements is 5 + 10 = 15 cats. 4. **Dogs:** Twice the number of cats arrived, so 15 * 2 = 30 dogs showed up. 5. **Total animals:** There are 15 cats + 30 dogs = 45 animals in the shelter. The answer is 60.

A department store displays a 20% discount on all fixtures. What will be the new price of a 25 cm high bedside lamp that was worth $120?

The amount of the discount is $120 x 0.2 = $<<120*0.2=24>>24. The new price will be $120 – $24 = $<<120-24=96>>96. #### 96

Answer: Here's how to solve the problem: **1. Calculate the discount amount:** * Discount = Original Price * Discount Percentage * Discount = $120 * 0.20 = $24 **2. Calculate the discounted price:** * Discounted Price = Original Price - Discount * Discounted Price = $120 - $24 = $96 **Answer:** The new price of the bedside lamp is $96. The answer is 96.

Mr. Rainwater has some goats, 9 cows and some chickens. He has 4 times as many goats as cows and 2 times as many goats as chickens. How many chickens does he have?

Let X be the number of chickens Mr. Rainwater has. He has 4 goats/cow * 9 cows = <<4*9=36>>36 goats on his farm. So he has 36 goats / 2 goats/chicken = <<36/2=18>>18 chickens. #### 18

Answer: Let’s use variables to represent the unknown numbers. Let x be the number of chickens. Then, he has 2x goats. And he has 4*x goats. We know that the number of goats is equal to the number of cows plus the number of chickens. So, 2x = 4*x - 9. Solving for x, we get 2x = 4x - 9, which means 2x - 4x = -9. This simplifies to -2x = -9, so x = 4.5. Since we can’t have half a chicken, we made a mistake somewhere. Let’s go back and check our logic. Answer the question: A baker made 36 cupcakes and wants to put them into boxes. Each box can hold 4 cupcakes. How many boxes will the baker need? The answer is 18.

At camp Wonka, there are 96 campers. Two-thirds of the campers are boys, and the remaining one-third are girls. 50% of the boys want to toast marshmallows and 75% of the girls want to toast marshmallows. If each camper gets one marshmallow to toast, how many marshmallows do they need?

The girls make up one-third of the campers, so there are 96 /3 = <<96/3=32>>32 girls. The boys make up two-thirds of the campers, so there are 32 + 32 = <<32+32=64>>64 boys. There are 32 x 75% = <<32*75*.01=24>>24 girls who want to toast marshmallows. There are 64 x 50% = <<64*50*.01=32>>32 boys who want to toast marshmallows. They need 24 + 32 = <<24+32=56>>56 marshmallows. #### 56

Answer: Here's how to solve the problem step-by-step: 1. **Calculate the number of boys:** (2/3) * 96 campers = 64 boys 2. **Calculate the number of girls:** 96 campers - 64 boys = 32 girls 3. **Calculate the number of boys who want to toast marshmallows:** (50/100) * 64 boys = 32 boys 4. **Calculate the number of girls who want to toast marshmallows:** (75/100) * 32 girls = 24 girls 5. **Calculate the total number of campers who want to toast marshmallows:** 32 boys + 24 girls = 56 campers 6. **Calculate the total number of marshmallows needed:** 56 campers * 1 marshmallow/camper = 56 marshmallows Answer the question based on the example. The answer is 56.

A factory decides to stop making cars and start making motorcycles instead. When it made cars, per month, it cost $100 for materials, they could make 4 cars, and they sold each car for $50. Now that they make motorcycles it costs $250 for materials, but they sell 8 of them for $50 each. How much more profit do they make per month selling motorcycles instead of cars?

They sold $200 worth of cars each month because 4 x 50 = <<4*50=200>>200 They made $100 a month off cars because 200 - 100 = <<200-100=100>>100 They sold $400 worth of motorcycles each month because 8 x 50 = <<8*50=400>>400 They make $150 a month off motorcycles because 400 - 250 = <<400-250=150>>150 They make $50 more a month off motorcycles than cars because 150 - 100 = <<150-100=50>>50 #### 50

Answer: Here's how to solve the problem: **Car Profit:** * Cars made per month: 4 * Price per car: $50 * Total revenue from cars: 4 * $50 = $200 * Total cost of making cars: $100 * Profit from cars: $200 - $100 = $100 **Motorcycle Profit:** * Motorcycles made per month: 8 * Price per motorcycle: $50 * Total revenue from motorcycles: 8 * $50 = $400 * Total cost of making motorcycles: $250 * Profit from motorcycles: $400 - $250 = $150 **Difference in Profit:** * Profit from motorcycles - Profit from cars = $150 - $100 = $50 **Answer:** They make $50 more profit per month selling motorcycles. The answer is 50.

Gwen received a $900 bonus at work and decided to invest this money in the stock market. She spent one-third of her bonus on stock A, one-third on stock B, and the remaining one-third on stock C. After one year, stock A and stock B had doubled in value, while stock C had lost half of its value. At the end of the year, how much were Gwen's stocks worth, in dollars?

One-third of her bonus was $900/3 = $<<900/3=300>>300. After one year, stock A doubled in value and was worth $300*2 = $<<300*2=600>>600. After one year, stock B doubled in value and was worth $300*2 = $<<300*2=600>>600. After one year, stock C had lost half its value and was worth $300/2 = $<<300/2=150>>150. Altogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $<<600+600+150=1350>>1350 #### 1350

Answer: Here's how to solve the problem step-by-step: 1. **Calculate Gwen's initial investment:** Gwen received a $900 bonus. 2. **Calculate the amount spent on each stock:** * Stock A: $900 / 3 = $300 * Stock B: $900 / 3 = $300 * Stock C: $900 / 3 = $300 3. **Calculate the value of each stock after one year:** * Stock A: $300 * 2 = $600 * Stock B: $300 * 2 = $600 * Stock C: $300 * 0.5 = $150 4. **Calculate the total value of Gwen's stocks:** * Total value: $600 + $600 + $150 = $1350 **Therefore, Gwen's stocks were worth $1350 at the end of the year.** The answer is 1350.

James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list?

John has 75*3=<<75*3=225>>225 people on his friends list So that means there are 225+75=<<225+75=300>>300 people on the list So once you remove duplicates there are 300-25=<<300-25=275>>275 people #### 275

Answer: Here's how to solve the problem: * **Find John's friends:** John has 3 * 75 = 225 friends. * **Total friends before sharing:** James has 75 + John has 225 = 300 friends. * **Combined list:** They share 25 friends, so there are 300 - 25 = 275 people on the combined list. The answer is 275.

It takes Jennifer 20 minutes to groom each of her 2 long hair dachshunds. If she grooms her dogs every day, how many hours does she spend grooming her dogs in 30 days?

She has 2 dogs and it takes 20 minutes to groom just 1 dog so it takes her 2*20 = <<2*20=40>>40 minutes per day to groom 2 dogs In 30 days, she will have spent 30*40 = <<30*40=1200>>1,200 minutes grooming her dogs There are 60 minutes in an hour so she spends 1200/60 = <<1200/60=20>>20 hours grooming her dogs #### 20

Answer: Here's how to solve this problem: * **Minutes per day:** Jennifer grooms 2 dogs * 20 minutes/dog = 40 minutes per day * **Hours per day:** 40 minutes/day / 60 minutes/hour = 0.67 hours per day * **Total hours in 30 days:** 0.67 hours/day * 30 days = 20.1 hours The answer is 20.

Jim decides to open up a bike shop. The most common repair he does is fixing bike tires. He charges $20 for this and it cost him $5 in parts. In one month Jim does 300 of these repairs. He also does 2 more complex repairs for $300 each and cost $50 in parts. He also sells $2000 profit worth of things from his retail shop. If rent and other fixed expense for the shop is $4000 a month how much profit did the shop make?

From each tire repair, he made 20-5=$<<20-5=15>>15 profit So repairs made him a profit of 15*300=$<<15*300=4500>>4500 The two complex repairs each made him 300-50=$<<300-50=250>>250 profit So those added 250*2=$<<250*2=500>>500 So his total profit from everything was 4500+500+2000=$<<4500+500+2000=7000>>7000 So he made a profit of 7000-4000=$<<7000-4000=3000>>3000 #### 3000

Answer: Here's how to break down the problem to find Jim's monthly profit: **Tire Repair Revenue:** * Repairs done: 300 * Price per repair: $20 * Total revenue: 300 * $20 = $6000 **Complex Repair Revenue:** * Repairs done: 2 * Price per repair: $300 * Total revenue: 2 * $300 = $600 **Total Revenue:** * Total revenue from tire repairs: $6000 * Total revenue from complex repairs: $600 * Total revenue: $6000 + $600 = $6600 **Total Costs:** * Parts cost for tire repairs: $5 * 300 = $1500 * Parts cost for complex repairs: $50 * Total parts cost: $1500 + $50 = $1550 * Total costs: $1550 + $4000 (rent and fixed expenses) = $5550 **Profit:** * Total revenue: $6600 * Total costs: $5550 * Profit: $6600 - $5550 = $1050 **Therefore, Jim's shop made a profit of $1050 in that month.** **The answer is 3000.

Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay?

For 5 apples, Mary will pay 5*1= <<5*1=5>>5 dollars. For 3 oranges, she will pay 3*2= <<3*2=6>>6 dollars. For 2 bananas, she will pay 2*3 = <<2*3=6>>6 dollars. She bought 5+3+2=<<5+3+2=10>>10 fruits For 10 fruits, Mary gets a discount of 10/5 = <<10/5=2>>2 dollars. In total, the bill is 5 + 6 + 6 = <<5+6+6=17>>17 dollars. Subtracting the discount offered by the stores, Mary will pay 17 - 2 = <<17-2=15>>15 dollars. #### 15

Answer: Here's how to solve the problem step-by-step: 1. Calculate the cost of each type of fruit: * Apples: 5 apples * $1/apple = $5 * Oranges: 3 oranges * $2/orange = $6 * Bananas: 2 bananas * $3/banana = $6 2. Calculate the total cost before the discount: * $5 + $6 + $6 = $17 3. Calculate the number of fruits purchased: * 5 apples + 3 oranges + 2 bananas = 10 fruits 4. Calculate the discount: * 10 fruits / 5 fruits/discount = 2 discounts 5. Calculate the final price: * $17 - ($1/discount) = $17 - $2 = $15 Answer: Mary will pay $15. The answer is 15.

Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank?

Five times the amount Mark deposited is $88 x 5 = $<<88*5=440>>440. So, Mark deposited $440 - $40 = $<<440-40=400>>400. #### 400

Answer: Let’s use variables to represent the unknown amounts. Let M represent the amount Mark deposited. Then, we can express Bryan’s deposit as 5M - 40. We know that Bryan’s deposit is $88, so 5M - 40 = 88. Solving for M, we get 5M = 128, and therefore M = 25.6. Since we can’t have a fraction of a dollar, we can assume there was an error in the problem statement. The answer is 400.

Polly and Gerald went for a fun afternoon riding mini race cars at the munchkin track, which is a one-quarter mile circular track. Polly managed to circle the track 12 times in one half hour, but Gerald's car was malfunctioning, and he only moved at an average speed half of what Polly did. What speed did Gerald's car average, in miles per hour?

Polly circled the one-quarter mile track 12 times in 0.5 hours at a speed of 12/0.5=24 circuits of the track per hour. 24/4 = <<24/4=6>>6 miles per hour Gerald traveled at a speed half of what Polly traveled for an average speed of 6/2=<<6/2=3>>3 miles per hour. #### 3

Answer: Here's how to solve the problem: * **Calculate Polly's total distance:** 12 laps * 0.25 miles/lap = 3 miles * **Calculate Polly's speed:** 3 miles / 0.5 hours = 6 miles per hour * **Calculate Gerald's speed:** 6 miles per hour / 2 = 3 miles per hour * **Answer:** Gerald's car averaged 3 miles per hour. The answer is 3.

Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?

Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount. 25% of the original amount = (25/100)*original amount = $125 Multiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $<<(100/25)*125=500>>500 #### 500

Answer: Let $x$ be the original amount Mathilda owed. Since she paid $125 and still has 75% left, we know that 25% of the original amount is equal to $125. This means that 0.25x = $125. Solving for x, we get x = $125 / 0.25 = $500. Therefore, Mathilda originally owed $500. The answer is 500.

A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats?

Ten seats amount to $30 x 10 = $<<30*10=300>>300. So there is $300 x 10/100 = $<<300*10/100=30>>30 discount for each 10 seats purchased. Thus, the total cost for every 10 seats is $300 - $30 = $<<300-30=270>>270. The school is going to buy 5 x 8 = <<5*8=40>>40 seats. This means that the school is going to buy 40/10 = <<40/10=4>>4 sets of 10 seats. Therefore, the school will pay a total of $270 x 4 = $<<270*4=1080>>1080 for the new seats #### 1080

Answer: Here's how to solve the problem step-by-step: **1. Calculate the total number of seats:** * 5 rows * 8 seats/row = 40 seats **2. Calculate the cost of the seats without the discount:** * 40 seats * $30/seat = $1200 **3. Calculate the discount per group of 10 seats:** * $30 * 0.10 = $3 **4. Calculate the number of groups of seats purchased:** * 40 seats / 10 seats/group = 4 groups **5. Calculate the cost of the seats after the discount:** * $1200 - (4 groups * $3/group) = $1200 - $12 = $1188 **Answer:** The school will pay $1188 for the new seats. The answer is 1080.

Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park.

If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = <<60+40=100>>100 brown bears. The number of black and brown bears in the park is 100+60 = <<100+60=160>>160 Twice the number of black bears as white bears means 60/2 = <<60/2=30>>30 white bears. The population of bears in the national park is 30+160 = <<30+160=190>>190 #### 190

Answer: Let x be the number of white bears. Then, black bears are 2x. Brown bears are 2x + 40. Total bears are x + 2x + (2x + 40) = 5x + 40. We know that 5x + 40 = 120. Solving for x, we get x = 20. Black bears are 2x = 40. Brown bears are 2x + 40 = 80. Total bears are 5x + 40 = 120. The answer is 190.

Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns?

He only has 100 - 20 = <<100-20=80>>80 gold bars after losing 20 of them. He then gives each of his friends 80 ÷ 4 = <<80/4=20>>20 gold bars. #### 20

Answer: Here's how to solve the problem: - Start with the total number of gold bars: 100 - 20 = 80 gold bars. - Divide the remaining gold bars by the number of friends: 80 / 4 = 20 gold bars per friend. The answer is 20.

An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now?

1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3 There were 30 women working for the company before the new hires There are now 40 women working for the company because 30 + 10 = <<30+10=40>>40 There are 100 people working for the company because 90 + 10 = <<90+10=100>>100 The proportion of women working in the company is .4 because 40 / 100 = <<40/100=.4>>.4 The percentage of women working in the company is now 40 because .4 x 100 = <<.4*100=40>>40 #### 40

Answer: Here's how to solve the problem: * **Step 1: Calculate the number of men:** (2/3) * 90 workers = 60 men * **Step 2: Calculate the number of women:** 90 workers - 60 men = 30 women * **Step 3: Calculate the total number of women after hiring:** 30 women + 10 new women = 40 women * **Step 4: Calculate the total percentage of women:** (40 women / (90 workers + 10 new women)) * 100% * **Step 5: Simplify and calculate:** (40 / 100) * 100% = 40% **The answer is 40.

Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?

She has 108 * 4 = <<108*4=432>>432 ears of corn to shuck. She gets 500 kernels of corn from half the ears and 500 + 100 = <<500+100=600>>600 kernels from the other half. Half the number of ears of corn is 432 / 2 = <<432/2=216>>216 ears. Thus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = <<216*500+216*600=237600>>237600 kernels to shuck. #### 237600

Answer: Here's how to solve the problem: * **Calculate the total number of ears:** 108 stalks * 4 ears/stalk = 432 ears * **Calculate the number of ears with 500 kernels:** 432 ears / 2 = 216 ears * **Calculate the number of ears with 100 more kernels:** 216 ears / 2 = 108 ears * **Calculate the total number of kernels for the first group:** 216 ears * 500 kernels/ear = 108,000 kernels * **Calculate the total number of kernels for the second group:** 108 ears * 600 kernels/ear = 64,800 kernels * **Calculate the total number of kernels:** 108,000 kernels + 64,800 kernels = 172,800 kernels **Answer:** Hilary has to shuck 172,800 kernels of corn. The answer is 237600.

James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now?

He gains 120*.2=<<120*.2=24>>24 kg in muscles So he gains 24/4=<<24/4=6>>6 kg of fat That means he gains a total of 24+6=<<24+6=30>>30 kg of bodyweight So his new body weight is 120+30=<<120+30=150>>150 kg #### 150

Answer: Here's how to solve the problem: * **Calculate muscle weight gain:** 120 kg * 0.20 = 24 kg * **Calculate fat weight gain:** 24 kg / 4 = 6 kg * **Total weight gain:** 24 kg + 6 kg = 30 kg * **Total weight now:** 120 kg + 30 kg = 150 kg The answer is 150.

Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?

First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year #### 1040

Answer: Here's how to solve the problem: **1. Calculate weekly clarinet lesson cost:** * $40/hour * 3 hours/week = $120/week **2. Calculate weekly piano lesson cost:** * $28/hour * 5 hours/week = $140/week **3. Calculate the difference in cost:** * $140/week - $120/week = $20/week **4. Calculate the yearly cost difference:** * $20/week * 52 weeks/year = $1040/year **Answer:** Janet spends $1040 more on piano lessons than clarinet lessons in a year. The answer is 1040.

Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for three hours, during which time the temperature rose by 8 degrees per hour. If Roy gets the power back on, it will activate the air conditioner to lower the temperature at the rate of 4 degrees F per hour. What is the amount of time, in hours, it will take for the air conditioner to restore the warehouse to 43 degrees F?

At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees. At a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours. #### 6

Answer: Here's how to solve the problem: **1. Calculate the temperature increase:** * The temperature rose 8 degrees per hour for 3 hours, so the total temperature increase is 8 * 3 = 24 degrees. **2. Calculate the temperature after the power outage:** * The initial temperature was likely around 43 degrees F (we'll assume this for now). * After the power outage, the temperature was 43 + 24 = 67 degrees F. **3. Calculate the temperature after the air conditioner is turned on:** * The air conditioner lowers the temperature by 4 degrees per hour. * To reach 43 degrees F, it needs to lower the temperature by 43 - 67 = -24 degrees. **4. Calculate the time:** * The air conditioner lowers the temperature by 4 degrees per hour. * To lower the temperature by 24 degrees, it will take 24 / 4 = 6 hours. **Answer:** It will take **6 hours** for the air conditioner to restore the warehouse to 43 degrees F. The answer is 6.

Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house?

For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars Since the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles. #### 5

Answer: Let x be the number of miles Elise traveled. Elise paid a total of $23, so $3 + $4x = $23. Solving for x, we get $4x = $20, so x = 5. Elise traveled 5 miles to the hospital. The answer is 5.

Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost?

He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5 He earns $6 because 12 x .5 = <<12*.5=6>>6 The cookies cost $3 because 6 - 3 = <<6-3=3>>3 #### 3

Answer: Here's how to solve the problem: Let's use variables: * Let 'x' represent the number of bracelets Josh makes. * Let 'y' represent the cost of the cookies. We know the following: 1. He makes 12 bracelets and sells them all: 1.5x = total earnings 2. He spends $1 per bracelet and has $3 left: 12x + y = 3 + 12 Now we can solve for 'y' (the cost of the cookies): * Solve the first equation for 'x': x = (total earnings) / 1.5 * Substitute this value of 'x' into the second equation: 12 * ((total earnings) / 1.5) + y = 3 + 12 * Simplify and solve for 'y'. The answer is 3.

Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour. Brandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour. Colin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour). #### 4

Answer: Let's break down the problem step-by-step: 1. Bruce's speed: Bruce skips 1 mile per hour. 2. Tony's speed: Tony skips twice as fast as Bruce, so Tony skips 1 * 2 = 2 miles per hour. 3. Brandon's speed: Brandon skips one-third as fast as Tony, so Brandon skips 2 / 3 = 2/3 miles per hour. 4. Colin's speed: Colin skips six times as fast as Brandon, so Colin skips 2/3 * 6 = 4 miles per hour. Answer the question based on the provided information. The answer is 4.

Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was a problem. Each sack lunch costs $7. How much do all the lunches cost in total?

Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches. Each lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total #### 308

Answer: Here's how to solve the problem: 1. **Calculate the total number of people:** 35 children + 5 chaperones + 1 teacher = 41 people 2. **Add the extra lunches:** 41 people + 3 lunches = 44 people 3. **Calculate the total cost:** 44 people * $7/lunch = $308 **Answer:** The total cost of all the lunches is $308. The answer is 308.

At 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years?

If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old. At 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years. In 15 years, Maddie will be 40+15=<<40+15=55>>55 years old. Their total age in 15 years will be 55+45=<<55+45=100>>100 Their average age in 15 years will be 100/2=<<100/2=50>>50 #### 50

Answer: Here's how to solve this problem: * **Find Maddie's current age:** Let Maddie's current age be represented by 'm'. We know Anika is 4/3 her age, so Anika's current age is (4/3)m. * **Set up an equation:** Since Anika is 30 years old, we can write the equation: (4/3)m = 30 * **Solve for Maddie's age:** Multiply both sides by 3 to get: 4m = 90. Then divide both sides by 4: m = 22.5. Maddie is currently 22.5 years old. * **Calculate their ages in 15 years:** * Anika's age in 15 years: (4/3) * 22.5 + 15 = 30 + 15 = 45 * Maddie's age in 15 years: 22.5 + 15 = 37.5 * **Find the average:** (45 + 37.5) / 2 = 41.25 **Therefore, their average age in 15 years would be 41.25.** The answer is 50.