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7
A local farm is famous for having lots of double yolks in their eggs. One carton of 12 eggs had five eggs with double yolks. How many yolks were in the whole carton? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Each egg with double yolks counts as 2 yolks. So, the 5 eggs with double yolks will have 5 x 2 = 10 yolks. The remaining 7 eggs (12 - 5 = 7) will have a single yolk each, so that's 7 yolks. In total, that's 10 + 7 = 17 yolks.</think> <answer>17</answer>
17
Bubba bought a new two-story warehouse. When empty, the first floor of the building contains twice as much floor space for storage as the second floor. The first items he brought into his empty building were several thousand boxes; and he put them all on the second floor, which filled one-quarter of the second floor ...
<think> Let's start by finding the total storage space of the building. Since the first floor has twice as much storage space as the second floor, if we call the second floor x, then the first floor is 2x. The total storage space is x + 2x = 3x. The boxes took up 5,000 square feet of storage space, which is one-quarte...
55,000
Tony has a piece of quilt that is 6 feet by 24 feet. If he wants to turn it into a square and use all the fabric, how long is each side of the square? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> To turn the quilt into a square, Tony needs to find a way to use up all the fabric. He has a total of 6 x 24 = 144 square feet of fabric. To find the length of one side of the square, he needs to find the square root of 144, because the area of a square is the length of one side squared. The square root of 1...
12
A rectangle has a length of 3 inches and a width of 6 inches. A square has a width of 5 inches. What is the difference in area between the two shapes? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>The rectangle's area is found by multiplying the length by the width, which is 3 x 6 = 18 square inches. The square's area is found by squaring the width, which is 5 x 5 = 25 square inches.</think> <answer>7</answer>
7
Chandra is going on a monster hunt. After a big storm, there have been lost monsters all around the castle grounds for the last 5 days. Chandra wants to rope them all up and return them to the swamps where they will be the most comfortable. On the first day she saw 2 monsters near the castle walls. Every day after that...
<think>Since Chandra saw double the amount of monsters each day, the number of monsters will be 2, 4, 8, 16, 32 on the first 5 days.</think> <answer>62</answer>
62
During a soccer game, in the first half, Team A scored 8 points, and Team B scored only half as many points. In the second half, Team B was able to get as many points as Team A in the first half, and Team A scored only 2 goals less than Team B. How many goals did both teams score during the whole match? Provide your re...
<think> Let's break down the problem step by step. In the first half, Team A scored 8 points, and Team B scored half as many points, which means Team B scored 8/2 = 4 points. In the second half, Team B scored as many points as Team A scored in the first half, which means Team B scored 8 points. Team A scored 2 goals ...
26
A psychologist believes one in every four people has a disorder he calls ZYX syndrome. The clinic where he works has recently doubled its previous number of 26 patients. How many patients is the psychologist likely to diagnose with ZYX syndrome? Provide your reasoning in <think> tags. Write your final answer in <answer...
<think> If one in every four people has ZYX syndrome, then 25% of the population has it. The clinic has 52 patients now (26 doubled). Assuming the entire population has the same prevalence of ZYX syndrome, the number of patients diagnosed with ZYX syndrome would be 52 * 0.25 = 13.</think> <answer>13</answer>
13
Carla needs to drive her car to do a bunch of errands. She needs to drive 8 miles to the grocery store, 6 miles to pick up her kids from school, 12 miles to drop her kids off at soccer practice, and twice the distance from the school to soccer practice to get everyone home again. If Carla's car gets 25 miles per gallon...
<think> Carla's total distance driven will be 8 + 6 + 12 + 2 * 12 = 8 + 6 + 12 + 24 = 50 miles. Her car gets 25 miles per gallon, so she will use 50 / 25 = 2 gallons of gas. Gas costs $2.50 per gallon, so she will spend 2 * $2.50 = $5.</think> <answer>5</answer>
5
Allie picked 44 wildflowers. Thirteen of the flowers were yellow and white, seventeen of the flowers were red and yellow, and 14 of the flowers were red and white. How many more flowers contained the color red than contained the color white? Provide your reasoning in <think> tags. Write your final answer in <answer> ...
<think> Let's calculate the number of flowers that contained the color red: * 17 red and yellow flowers * 14 red and white flowers Total flowers that contain the color red: 17 + 14 = 31 Now, let's calculate the number of flowers that contained the color white: * 13 yellow and white flowers * 14 red and white flower...
4
Aubrie has four cards with the labels W, X, Y, Z printed on them. W is tagged with the number 200, X is tagged with half the number W is tagged with, Y is tagged with the total of X and W's tags and Z is tagged with the number 400. Calculate the total of all the tagged numbers. Provide your reasoning in <think> tags. W...
<think> W is tagged with 200. X is tagged with half the number W is tagged with, so X is tagged with 200/2 = 100. Y is tagged with the total of X and W's tags, so Y is tagged with 100 + 200 = 300. Z is tagged with the number 400. The total of all the tagged numbers is 200 + 100 + 300 + 400. Adding these up gives 200 + ...
1000
36 liters of diesel fuel is worth €18. The tank of this pickup truck can hold 64 liters. How much does a full tank of diesel fuel cost? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Since 36 liters of diesel fuel is worth €18, we can find the price of 1 liter of diesel fuel by dividing €18 by 36 liters.</think> €18 ÷ 36 liters = €0.50 per liter <think>Now, we can multiply the price of 1 liter by the total amount of liters the tank can hold (64 liters) to find the total cost of a full tank....
32
In a basketball game, Tobee scored 4 points. Jay scored 6 more than Tobee and Sean scored 2 less than the points of Tobee and Jay together. If Tobee, Jay, and Sean are on the same team, how many points did they score for their team? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only ...
<think> Tobee scored 4 points. Jay scored 6 more than Tobee, so Jay scored 4 + 6 = 10 points. Tobee and Jay together scored 4 + 10 = 14 points. Sean scored 2 less than this, so Sean scored 14 - 2 = 12 points. The three players together scored 4 + 10 + 12 = 26 points. </think> <answer>26</answer>
26
There are 40 more buyers in the grocery store today than yesterday. There were half the number of buyers yesterday as there were the day before, and the day before had 50 buyers. Nobody visited the store on more than one day. What's the total number of buyers who've visited the store in the three days? Provide your rea...
<think>The day before yesterday, there were 50 buyers. Yesterday, there were half the number of buyers as the day before, so there were 25 buyers. Today, there are 40 more buyers than yesterday, so there are 65 buyers today.</think> <answer>140</answer>
140
Jason is climbing a telephone pole next to a tree his friend Matt is climbing. Matt can climb 6 feet/minute and Jason can climb 12 feet per minute. After 7 minutes, how much higher will Jason be than Matt? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as y...
<think> Matt can climb 6 feet per minute, so in 7 minutes he can climb 6 * 7 = 42 feet. Jason can climb 12 feet per minute, so in 7 minutes he can climb 12 * 7 = 84 feet. To find the difference, subtract Matt's height from Jason's height: 84 - 42 = 42</think> <answer>42</answer>
42
Sean buys 3 cans of soda, 2 soups, and 1 sandwich. Each soup cost as much as the 3 combined sodas. The sandwich cost 3 times as much as the soup. If the soda cost $1 how much did everything cost together? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as...
<think> Sean buys 3 cans of soda, which costs 3 x $1 = $3. The 2 soups cost as much as the 3 cans of soda, so each soup costs $3 as well. The total cost of the soups is 2 x $3 = $6. The sandwich costs 3 times as much as the soup, so it costs 3 x $3 = $9. Sean's total cost is the cost of the soda (3 x $1 = $3) plus the...
18
Rhett has been late on two of his monthly rent payments, but his landlord does not charge late fees and so he will be able to pay their total cost with 3/5 of his next month's salary after taxes. If he is currently paid $5000 per month and has to pay 10% tax, calculate his rent expense per month? Provide your reasoning...
<think>First, calculate Rhett's take-home pay (after taxes). 10% tax on $5000 per month is $500, so his take-home pay is $5000 - $500 = $4500 per month. He intends to use 3/5 of this take-home pay to pay his late rent, which is $4500 * 3/5 = $2700. He has two months of late rent, so we need to find the rent expense per...
1350
Mario has 3 hibiscus plants in his garden. The first hibiscus plant has 2 flowers. The second hibiscus plant has twice as many flowers as the first hibiscus plant. The third hibiscus plant has four times as many flowers as the second hibiscus plant. How many total blossoms does Mario have? Provide your reasoning in...
<think> Mario has 3 hibiscus plants. The first hibiscus plant has 2 flowers. The second hibiscus plant has twice as many flowers as the first, which is 2 x 2 = 4 flowers. The third hibiscus plant has four times as many flowers as the second, which is 4 x 4 = 16 flowers. To find the total number of flowers, we add up th...
22
On a Sunday morning, Josephine sold milk in the farm stall. The buyers brought their containers. She filled three containers with two liters each, two containers with 0.75 liters each, and five containers with 0.5 liters each. How many liters of milk did Josephine sell in total? Provide your reasoning in <think> tags. ...
<think> Josephine fills 3 containers with 2 liters each, so that's 3 x 2 = 6 liters. She fills 2 containers with 0.75 liters each, so that's 2 x 0.75 = 1.5 liters. She fills 5 containers with 0.5 liters each, so that's 5 x 0.5 = 2.5 liters. In total, Josephine sold 6 + 1.5 + 2.5 liters. We add the decimal numbers b...
10
Belinda can throw a ball at a speed of 20 feet/second. If the ball flies for 8 seconds before hitting the ground, and Belinda's border collie can run 5 feet/second, how many seconds will it take the border collie to catch up to the ball? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. ...
<think> The ball flies at a speed of 20 feet/second for 8 seconds, meaning it travels a total distance of 20 x 8 = 160 feet. The border collie runs at a speed of 5 feet/second. The time it takes for the border collie to catch up to the ball is the distance between them divided by the border collie's speed. So, it's 160...
32
Rubble has $15 in his pocket and he needs to buy 2 notebooks and 2 pens. Each notebook cost $4.00 meanwhile each pen cost $1.50. How much money will be left from Rubble after the purchase? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Rubble starts with $15. Each notebook costs $4, so 2 notebooks will cost 2 x $4 = $8. Each pen costs $1.50, so 2 pens will cost 2 x $1.50 = $3. To find out how much Rubble will spend in total, we add the cost of the notebooks and pens: $8 + $3 = $11. Since Rubble spent a total of $11, we subtract that from the ...
4
Adrianna has 10 pieces of gum to share with her friends. There wasn't enough gum for all her friends, so she went to the store to get 3 more pieces of gum. She gave out gum to 11 friends. How many pieces of gum does Adrianna have now? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Onl...
<think> Adrianna initially has 10 pieces of gum. Then, she buys 3 more pieces, so she has a total of 10 + 3 = 13 pieces of gum. She gives out gum to 11 friends, but this doesn't change the total amount of gum she has. She still has the same 13 pieces of gum. However, this means 11 pieces were given away. To find out ho...
2
Susan wants to throw a party for her mom. She is planning on having 30 guests. For dinner she is making a recipe that makes 2 servings each. Each batch of the recipe calls for 4 potatoes and 1 teaspoon of salt. A potato costs $.10 and a container of salt costs $2 at the supermarket. If each container of salt has 5 teas...
<think>Since each batch of the recipe makes 2 servings, Susan will need to make 15 batches to serve 30 guests.</think> <think>Each batch requires 4 potatoes, so Susan will need 4 x 15 = 60 potatoes, which costs 60 x $.10 = $6.00.</think> <think>Susan has 1 teaspoon of salt for each batch, so she needs 15 teaspoons of s...
12
Goldie makes $5 an hour for pet-sitting. Last week, she worked for 20 hours while this week, she worked for 30 hours. How much did Goldie earn in two weeks for pet-sitting? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> To find out how much Goldie earned, we need to calculate the total number of hours she worked and multiply it by her hourly wage of $5. Last week, she worked for 20 hours, and this week, she worked for 30 hours. To find the total number of hours, we add the two numbers together: 20 + 30 = 50 hours. Then, we m...
250
Tony's dad is very strict about the washing machine and family members are only allowed to wash 50 total ounces of clothing at a time. Tony doesn't want to break the rules, so he weighs his clothes and finds that a pair of socks weighs 2 ounces, underwear weighs 4 ounces, a shirt weighs 5 ounces, shorts weigh 8 ounces,...
<think>Let's first calculate the total amount of clothing Tony is washing before adding any underwear:</think> Pair of pants: 10 ounces 2 shirts: 2 x 5 ounces = 10 ounces Pair of shorts: 8 ounces 3 pairs of socks: 3 x 2 ounces = 6 ounces Total: 10 + 10 + 8 + 6 = 34 ounces <think>Since the total allowance is 50 ounces...
4
Jenny wants to know whether bone meal or cow manure makes better fertilizer. The control plant with no fertilizer grows 36 inches high, the plant with bone meal grows to 125% of the height of the control plant, and the cow manure plant grows to 200% of the height of the bone meal plant. How tall is the cow manure plant...
<think> Jenny wants to know whether bone meal or cow manure makes better fertilizer. The control plant with no fertilizer grows 36 inches high, the plant with bone meal grows to 125% of the height of the control plant, and the cow manure plant grows to 200% of the height of the bone meal plant. Think about the bone mea...
90
It takes 3 ounces of wax to detail Kellan’s car and 4 ounces to detail his SUV. He bought an 11-ounce bottle of vehicle wax, but spilled 2 ounces before using it. How many ounces does he have left after waxing his car and SUV? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give t...
<think> Kellan started with 11 ounces of wax. He spilled 2 ounces, so he had 11 - 2 = 9 ounces left. To detail his car, he needed 3 ounces of wax. To detail his SUV, he needed 4 ounces of wax. He used 3 + 4 = 7 ounces of wax in total. So, he has 9 - 7 = 2 ounces of wax left.</think> <answer>2</answer>
2
On each of 7 Mondays, it rained 1.5 centimeters. On each of 9 Tuesdays it rained 2.5 centimeters. How many more centimeters did it rain on Tuesdays than Mondays? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> On Mondays, it rained 1.5 cm for 7 days, so in total it rained 1.5 x 7 cm. This is equal to 10.5 cm. On Tuesdays, it rained 2.5 cm for 9 days, so in total it rained 2.5 x 9 cm. This is equal to 22.5 cm. To find the difference, subtract the amount of rain on Mondays from the amount of rain on Tuesdays: 22.5 - ...
12
A set of 7 spoons costs $21. If each spoon would be sold separately, how much would 5 spoons cost? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Since a set of 7 spoons costs $21, dividing the cost by the number of spoons will give us the cost of one spoon. $21 ÷ 7 = $3 per spoon.</think> <think> If each spoon would be sold separately, and the cost of one spoon is $3, then the cost of 5 spoons would be 5 x $3 = $15.</think> <answer>15</answer>
15
Vanessa's new business is thriving and she frequently has orders to post. She has run out of packing peanuts for the packages and is now wondering how many orders she has sent. Each large order needs 200g of packing peanuts while small orders need just 50g of packing peanuts. If Lisa has used a total of 800g of packing...
<think> Since Lisa has used a total of 800g of packing peanuts, we need to subtract the amount used for the large orders to find the amount used for the small orders. Each large order requires 200g of packing peanuts, and Lisa has sent 3 large orders, so the amount used for large orders is 3 x 200g = 600g. Substituting...
4
Madison takes her dog to the dog park. Counting Madison's dog, half the dogs have spots and 1/5 have pointy ears. If 15 dogs have spots, how many have pointy ears? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> There are 15 dogs with spots. Since half the dogs have spots, the total number of dogs is 15 x 2 = 30. If 1/5 of the dogs have pointy ears, we can set up the equation: 1/5 x 30 = number of dogs with pointy ears. We can solve for the number of dogs with pointy ears: 1/5 x 30 = 6.</think> <answer>6</answer>
6
Harvey and his friend Sam decided to run a footrace in their school track field to see who was better at running. While at it, Harvey runs 8 miles more than his friend Sam, who runs a total of 12 miles. Calculate the total number of miles the two friends run together. Provide your reasoning in <think> tags. Write your ...
<think> Harvey runs 8 miles more than Sam, which means Harvey's total distance is 12 + 8 = 20 miles. Sam's total distance is just 12 miles. To find the total distance the two friends run together, we add their individual distances: 12 + 20 = </think> <answer>32</answer>
32
Page collects fancy shoes and has 80 pairs in her closet. She decides to donate 30% of her collection that she no longer wears. After dropping off her donation, she treats herself and buys 6 more pairs to add to her collection. How many shoes does she have now? Provide your reasoning in <think> tags. Write your fina...
<think> Page starts with 80 pairs of shoes. She donates 30% of her collection, which is 80 x 0.30 = 24 pairs. After donating the 24 pairs, she has 80 - 24 = 56 pairs left. She then buys 6 more pairs, so she has 56 + 6 = ? pairs.</think> <answer>62</answer>
62
Mark hires a singer for 3 hours at $15 an hour. He then tips the singer 20%. How much did he pay? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Mark hires the singer for 3 hours at $15 an hour. So, the total cost without the tip would be 3 x $15 = $45. He then tips the singer 20%, which is 20% of $45 = 0.2 x $45 = $9. The total amount Mark paid would be $45 + $9 = $54.</think> <answer>54</answer>
54
There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> There are initially 10000 spectators. 7000 of them are men, which leaves 10000 - 7000 = 3000 remaining spectators. Of these remaining spectators, there are 5 times as many children as women. Let x be the number of women. Then the number of children is 5x. The total number of remaining spectators is the sum of t...
2500
Mary and Mike are sharing a jar of paint. Mary paints a dragon using 3 square feet worth of paint. Mike paints a castle using 2 square feet more paint than Mary used on her dragon. They both then work together to paint the biggest sun possible. If there was originally enough paint in the jar to cover 13 square feet, ho...
Mary uses 3 square feet of paint. Mike uses 2 square feet more than Mary, so Mike uses 5 square feet of paint. Together, Mary and Mike use 3 + 5 = 8 square feet of paint. Originally, there was 13 square feet of paint in the jar, so the amount of paint left for the sun is 13 - 8 = 5. <think> The total amount of paint u...
5
Fabian has three times more marbles than Kyle and five times more than Miles. If Fabian has 15 marbles, how many marbles do Kyle and Miles have together? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Fabian has 15 marbles. He has three times more marbles than Kyle, so Kyle has 15 / 3 = 5 marbles. Fabian also has five times more marbles than Miles, so Miles has 15 / 5 = 3 marbles. Together, Kyle and Miles have 3 + 5 = 8 marbles.</think> <answer>8</answer>
8
Philip has a farm with animals. He has 20 cows, 50% more ducks. Philip also has as many pigs as one-fifth of ducks and cows in total. How many animals does Philip have on his farm? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Philip has 20 cows and 50% more ducks, so to find the number of ducks, add 50% of 20 to 20. 50% of 20 is 10, so he has 20 + 10 = 30 ducks. To find the number of pigs, he has one-fifth of the total number of ducks and cows, which is (20 + 30) / 5 = 10. The total number of animals is the sum of the number of cows...
60
Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servings and they buy as many bottles of soda as they can afford. If there are 8 total guests, how many servings of soda does each get? P...
<think> Monica and Michelle combine their money, which totals $15 + $12 = $27. The cake costs $15, leaving $27 - $15 = $12 for soda. Each bottle of soda costs $3, so they can afford 12 / 3 = 4 bottles of soda. Each bottle has 12 servings, so they get 4 x 12 = 48 servings total. There are 8 guests, so each guest gets 48...
6
Lisa is making a pizza. She uses 30 pieces of pepperoni for a pizza, twice as many pieces of ham, and 12 more pieces of sausage than pepperoni. If there are 6 slices of pizza, and everything was distributed evenly, how many pieces of meat altogether are on each slice? Provide your reasoning in <think> tags. Write your ...
<think> Lisa uses 30 pieces of pepperoni, so she uses 2 x 30 = 60 pieces of ham. She uses 12 more pieces of sausage than pepperoni, so she uses 30 + 12 = 42 pieces of sausage. In total, she uses 30 + 60 + 42 = 132 pieces of meat. If the 6 slices of pizza are distributed evenly, each slice gets 132 ÷ 6 = 22 pieces of me...
22
Hanna has twice as many erasers as Rachel. Rachel has three less than one-half as many erasers as Tanya has red erasers. If Tanya has 20 erasers, and half of them are red, how many erasers does Hanna have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as...
<think> Tanya has 20 erasers, and half of them are red, so she has 10 red erasers. Rachel has three less than one-half as many erasers as Tanya has red erasers. One-half of 10 is 5, and 5 - 3 is 2, so Rachel has 2 erasers. Hanna has twice as many erasers as Rachel, so she has 2 x 2 = 4 erasers. </think> <answer>4</answ...
4
Wyatt's mother gave him $74 to go to the store. Wyatt bought 5 loaves of bread and 4 cartons of orange juice. Each loaf of bread cost $5 and each carton of orange juice cost $2. How much money does Wyatt have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric v...
<think> Wyatt started with $74. He bought 5 loaves of bread for $5 each, so that's 5 x $5 = $25. He also bought 4 cartons of orange juice for $2 each, so that's 4 x $2 = $8. In total, he spent $25 + $8 = $33. To find out how much he has left, we subtract $33 from $74.</think> <answer>41</answer>
41
Billy is counting the rings in two trees. Weather fluctuations in this area mean that each tree's rings are in groups of two fat rings and four thin rings. If Billy counts 70 ring groups in the first tree and 40 ring groups in the second tree, how much older is the first tree? (Trees grow 1 ring per year.) Provide your...
<think> For each tree, we can calculate the total number of rings by multiplying the number of ring groups by the number of rings per group. For the first tree, there are 70 groups, and each group has 2 fat rings and 4 thin rings, for a total of 6 rings per group. So, the first tree has 70 x 6 = 420 rings. For the seco...
180
Sami finds 3 spiders in the playground. Hunter sees 12 ants climbing the wall. Ming discovers 8 ladybugs in the sandbox, and watches 2 of them fly away. How many insects are remaining in the playground? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as yo...
<think> Sami finds 3 spiders initially. Hunter sees 12 ants. Ming discovers 8 ladybugs and 2 of them fly away, which means there are 8 - 2 = 6 ladybugs remaining. To find the total number of insects, we add 3 + 12 + 6 = 21.</think> <answer>21</answer>
21
Michelangelo has 28 ceilings to paint. This week, he paints 12 of them. Next week, he will paint 1/4 the number of ceilings he did this week. How many ceilings will be left to paint after next week? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your ans...
<think>Michelangelo starts with 28 ceilings to paint. This week, he paints 12 of them, leaving 28 - 12 = 16 ceilings to paint. Next week, he will paint 1/4 of the number of ceilings he did this week, which is 1/4 * 12 = 3.</think> <answer>13</answer>
13
Dany owns a farm, in his farm he has 4 cows and 3 sheep that eat 2 bushels a day. He also has 7 chickens that eat 3 bushels a day. How many bushels should he have to suffice the animals for a day? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answe...
<think> Dany has 4 cows and 3 sheep that eat 2 bushels a day, so they together eat 4 + 3 = 7 animals eating 2 bushels a day. This means they eat a total of 7 x 2 = 14 bushels a day. He also has 7 chickens that eat 3 bushels a day, so they eat an additional 7 x 3 = 21 bushels a day. The total amount of bushels needed to...
35
During a unit on probability, a teacher surveys her class asking her students two questions. The first question was whether they prefer dogs or cats, and the second question was whether they movies or video games. Of the 30 students in her class, 50% chose dogs and video games as their two answers, while 10% chose do...
<think>Since 50% of the students chose dogs and video games, that means that half of the class chose dogs, or 15 students (30 students / 2 = 15 students). Similarly, 10% of the class chose dogs and movies, which is 0.1 x 30 = 3 students. Adding these together, the total students who prefer dogs is 15 + 3 = 18.</think> ...
18
Mike has to get an x-ray and an MRI. The x-ray is $250 and the MRI is triple that cost. Insurance covers 80%. How much did he pay? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Since the MRI costs triple the cost of the x-ray, and the x-ray costs $250, the MRI costs 250 x 3 = $750. The total cost is then $250 + $750 = $1000. Insurance covers 80%, so 100% - 80% = 20% is left to be covered. 20% of $1000 is 0.2 x 1000 = $200. So Mike has to pay $200.</think> <answer>200</answer>
200
At a gathering, it was reported that 26 people took wine, 22 people took soda, and 17 people took both drinks. If each person could have taken one or more drinks regardless of what was reported, how many people altogether were at the gathering? Provide your reasoning in <think> tags. Write your final answer in <answer>...
<think>Let's start by using the concept of inclusion-exclusion. We know that 26 people took wine, 22 people took soda, and 17 people took both. This means that the total number of people who took either or both drinks is 26 + 22 = 48. However, we need to subtract the 17 people who took both, since we're counting them t...
31
Diane bought twenty more apples than Cecile. If Cecile bought 15 apples, how many apples did they buy altogether? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Diane bought 20 more apples than Cecile, and Cecile bought 15 apples, so Diane bought 15 + 20 = 35 apples.</think> <answer>50</answer>
50
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? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Randy drew 5 pictures. Peter drew 3 more pictures than Randy, so Peter drew 5 + 3 = 8 pictures. Quincy drew 20 more pictures than Peter, so Quincy drew 8 + 20 = 28 pictures. To find the total number of pictures drawn, add the number of pictures drawn by each person: 5 + 8 + 28 = 41.</think> <answer>41</answer>
41
Lydia has a small pool she uses to bathe her dogs. When full, the pool holds 60 gallons of water. She fills her pool using the garden hose, which provides water at the rate of 1.6 gallons per minute. Unfortunately, her pool has a small hole that leaks water at a rate of 0.1 gallons per minute. How long will it take...
<think>Since the pool holds 60 gallons of water, and it's being filled at a rate of 1.6 gallons per minute minus 0.1 gallons per minute (due to the leak), the net rate of filling is 1.6 - 0.1 = 1.5 gallons per minute. To find the time it takes to fill the pool, we can divide the volume of the pool (60 gallons) by the n...
40
Claire has 400 flowers in her garden. One hundred twenty are tulips, and the rest are roses. Eighty of the roses are white, while the rest are red. Each red rose is worth $0.75. How much will Claire earn if she can sell 1/2 of the total number of red roses? Provide your reasoning in <think> tags. Write your final answe...
<think> Since Claire has a total of 400 flowers, and 120 are tulips, the rest are roses (400 - 120 = 280). Eighty of the roses are white, so the remaining red roses are 280 - 80 = 200. Since Claire can sell 1/2 of the total number of red roses, she can sell 1/2 * 200 = 100 red roses. Each red rose is worth $0.75, so Cl...
75
In a house, there are 16 cats. Two of them are white, and 25% of them are black. The rest of the cats are grey. How many grey cats are in this house? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>We know that 2 of the 16 cats are white, so we can subtract 2 from 16 to get the total number of cats that are not white. 16 - 2 = 14.</think> <think>25% of the cats are black, which means 25% of 16 are black. To find 25% of 16, we can multiply 16 by 0.25. This gives us 4 black cats. We subtract 4 from the tota...
10
During his summer break, Luke catches 2 fish every day for 30 days. If each fish gives him 2 fillets, then how many fish fillets does he have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Luke catches 2 fish every day, so in 30 days, he has caught 2 x 30 = 60 fish. Each fish gives him 2 fillets, so the total number of fillets he has is 60 x 2 = 120. </think> <answer> 120 </answer>
120
Zoe ate a snack of 12 strawberries and 6 ounces of yogurt. If strawberries have 4 calories each and yogurt has 17 calories per ounce, how many calories did Zoe eat? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Zoe ate 12 strawberries, and each strawberry has 4 calories. So the calories from strawberries are 12 x 4 = 48.</think> <think>Zoe also ate 6 ounces of yogurt, and each ounce has 17 calories. So the calories from yogurt are 6 x 17 = 102.</think> <think>To find the total calories, add the calories from strawberri...
150
Kennedy’s car can drive 19 miles per gallon of gas. She was able to drive 15 miles to school, 6 miles to the softball park, 2 miles to a burger restaurant, 4 miles to her friend’s house, and 11 miles home before she ran out of gas. How many gallons of gas did she start with? Provide your reasoning in <think> tags. Writ...
<think>Let's add up the total miles Kennedy drove: 15 + 6 + 2 + 4 + 11 = 38 miles. Since her car gets 19 miles per gallon, we can divide the total miles by 19 to find the number of gallons she started with:</think> <answer>2</answer>
2
Mara has 40 crayons and 10 percent of her crayons are pink. Luna has 50 crayons and 20 percent of them are pink. In total how many pink crayons do Mara and Luna have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Mara has 40 crayons and 10% of them are pink. To find the number of pink crayons Mara has, multiply 40 by 0.10. 40 * 0.10 = 4. Luna has 50 crayons and 20% of them are pink. To find the number of pink crayons Luna has, multiply 50 by 0.20. 50 * 0.20 = 10. In total, Mara and Luna have 4 + 10 = 14 pink crayons. ...
14
Lighters cost $1.75 each at the gas station, or $5.00 per pack of twelve on Amazon. How much would Amanda save by buying 24 lighters online instead of at the gas station? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> If Amanda buys 24 lighters online, she will get 2 packs of 12 lighters each. The total cost would be 2 x $5.00 = $10.00. At the gas station, she would have to buy each lighter separately, which would be 24 x $1.75 = $42.00. She would save $42.00 - $10.00 = $32.00 by buying online. </think> <answer>32</answer>
32
John eats 3 meals a day. Breakfast is 500 calories. His lunch contains 25% more calories than that. His dinner is twice as many calories as lunch. He also has 3 shakes that are each 300 calories. How many calories does he get in a day? Provide your reasoning in <think> tags. Write your final answer in <answer> tag...
<think> Let's start by calculating the number of calories in John's lunch. Since it contains 25% more calories than his breakfast, we can calculate the number of calories in his lunch as follows: Lunch = Breakfast + (25% of Breakfast) = 500 + (0.25 x 500) = 500 + 125 = 625 calories Since his dinner is twice as many c...
3275
Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Mark has 3 tanks, with 4 pregnant fish in each tank. That means there are 3 x 4 = 12 pregnant fish in total.</think> <think>Each of these 12 pregnant fish gives birth to 20 young, so that's a total of 12 x 20 = 240 young fish.</think> <think>Since there are 3 tanks, the young fish are distributed evenly across t...
240
Mary is writing a story, and wants her 60 characters to be split according to their initials. Half of her characters have the initial A, and half of this amount have the initial C. Mary wants the rest of her characters to have the initials D and E, but she wants there to be twice as many characters with the initial D a...
<think> Since half of Mary's 60 characters have the initial A, that's 30 characters. Half of this amount (15 characters) have the initial C. This means that there are 45 characters accounted for already. The remaining 15 characters are split between D and E, with twice as many having the initial D. Let's call the numbe...
10
Lisa has decided to replace her old cutlery. As she is going through the cupboards, she sees the spoons from when each of her 4 children were babies as well as 2 decorative spoons she created. She doesn't want to get rid of any of these so she adds them to her new set of cutlery. The new set of cutlery has 10 large spo...
<think> Lisa has 4 children and each child has 3 spoons, so that's 4 x 3 = 12 spoons. Add the 2 decorative spoons, that's 12 + 2 = 14. Add the new set of cutlery: 10 large spoons and 15 teaspoons, which are 25 spoons in total. So, Lisa now has 14 + 25 = 39 spoons.</think> <answer>39</answer>
39
John buys 3 dress shirts. They sell for $20 each. He also has to pay 10% tax on everything. How much did he pay in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> John buys 3 dress shirts for $20 each, so the total cost of the shirts before tax is 3 x $20 = $60. Now, since he has to pay 10% tax on everything, that means he has to pay 10% of $60 as tax. 10% of $60 is $6 (calculated by multiplying $60 by 0.10). So the total amount John has to pay is $60 + $6 = $66.</think>...
66
Traveling from Manhattan to the Bronx, Andrew rides the subway for 10 hours, takes the train and rides for twice as much time as the subway ride, and then bikes the remaining distance for 8 hours. What's the total time he takes to reach the Bronx from Manhattan? Provide your reasoning in <think> tags. Write your final ...
<think>Andrew takes the subway for 10 hours. He takes the train for twice as much time as the subway ride, so that's 2 x 10 = 20 hours. He bikes for 8 hours. The total time is 10 + 20 + 8 = 38 hours.</think> <answer>38</answer>
38
In the final game of the basketball season, four players scored points. Chandra scored twice as many points as did Akiko. Akiko scored 4 more points than did Michiko, and Michiko scored half as many points as did Bailey. If Bailey scored 14 points, how many points in total did the team score in the final game of the...
<think>Let's start by using the fact that Bailey scored 14 points. Since Michiko scored half as many points as Bailey, Michiko scored 14 ÷ 2 = 7 points.</think> <think>Since Michiko scored 7 points, and Akiko scored 4 more points than Michiko, Akiko scored 7 + 4 = 11 points.</think> <think>Since Akiko scored 11 point...
54
Carl types at a speed of 50 words per minute. If he types continuously for 4 hours per day, how many words can he type in 7 days? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Carl types 50 words per minute. He types for 4 hours a day, which is 4 * 60 = 240 minutes. So, he types 50 * 240 = 12000 words a day. In 7 days, he types 7 * 12000 = </think> <answer>84000</answer>
84000
The area of square A is 25. The area of square B is 81. What's the length difference between the sides of square A and B? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Since the area of square A is 25, its side length is √25 = 5 (since area = side^2). Since the area of square B is 81, its side length is √81 = 9 (since area = side^2). The difference in side length is therefore 9 - 5 = 4. </think> <answer>4</answer>
4
Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam has and 2 times as many French Bulldogs as Sam has. How many dogs does Peter want to have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your an...
<think> Peter wants to buy 3 times as many German Shepherds as Sam has, and Sam has 3 German Shepherds, so Peter wants to buy 3 x 3 = 9 German Shepherds. Peter also wants to buy 2 times as many French Bulldogs as Sam has, and Sam has 4 French Bulldogs, so Peter wants to buy 2 x 4 = 8 French Bulldogs. In total, Peter wa...
17
Vicente bought 5 kilograms of rice and 3 pounds of meat. Each kilogram of rice is $2 and a pound of meat is $5. How much did Vicente spend in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Vicente bought 5 kilograms of rice, and each kilogram of rice is $2. To find the total cost of rice, multiply the number of kilograms by the cost per kilogram:</think> 5 x 2 = $10 <think>Vicente bought 3 pounds of meat, and each pound of meat is $5. To find the total cost of meat, multiply the number of pounds ...
25
Mary bought 5 boxes of drinks at $6 each box and 10 boxes of pizzas at $14 each box for her pizza party. She paid $200 for all the items. How much change did she get back? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Mary bought 5 boxes of drinks at $6 each box, so she spent 5 x $6 = $30 on drinks. She bought 10 boxes of pizzas at $14 each box, so she spent 10 x $14 = $140 on pizzas. In total, she spent $30 + $140 = $170. She paid $200, so her change is $200 - $170 = ?</think> <answer>30</answer>
30
Cindy can jump rope for 12 minutes before tripping up on the ropes. Betsy can jump rope half as long as Cindy before tripping up, while Tina can jump three times as long as Betsy. How many more minutes can Tina jump rope than Cindy? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Onl...
<think> Cindy can jump rope for 12 minutes. Betsy can jump rope half as long, which is 12/2 = 6 minutes. Tina can jump rope three times as long as Betsy, which is 3 * 6 = 18 minutes. </think> <answer>6</answer>
6
There are 24 students in the class. One-third had their school portraits taken before lunch. After lunch, but before gym class, 10 additional students had their portraits taken. After gym class, how many students have not yet had their picture taken? Provide your reasoning in <think> tags. Write your final answer in <a...
<think>One-third of the 24 students is the same as 24 divided by 3, which is 8 students. After lunch, 10 more students had their portraits taken, so the total number of students who have had their portraits taken is 8 + 10 = 18. To find the number of students who have not yet had their portrait taken, we can subtract t...
6
There are four growing trees. The first tree grows 1 meter/day, the second grows the same amount in half the time, the third grows 2 meters/day, and the fourth tree grows a meter more than the third each day. How many meters did the trees grow in total in 4 days? Provide your reasoning in <think> tags. Write your final...
<think> The first tree grows 1 meter/day, so in 4 days it will grow 4 meters. The second tree grows the same amount in half the time, so it grows 2 meters/day. In 4 days, it will grow 8 meters. The third tree grows 2 meters/day, so in 4 days it will grow 8 meters. The fourth tree grows a meter more than the third ea...
32
Tony has a bucket that holds 2 pounds of sand. He has a sandbox out back that is two feet deep, four feet wide, and 5 feet long. A cubic foot of sand weighs 3 pounds. Because it's hot outside, he wants to make sure he stays hydrated, so every 4 trips he takes he drinks 3 ounces of bottled water. A 15 ounce bottle of wa...
<think> Tony's sandbox is 2 feet deep, 4 feet wide, and 5 feet long, so it's a rectangular prism with a volume of 2 x 4 x 5 = 40 cubic feet. Each cubic foot of sand weighs 3 pounds, so the total amount of sand the sandbox can hold is 40 x 3 = 120 pounds. Tony's bucket holds 2 pounds of sand, so he'll need to make 120 /...
4
There are 400 students in the senior class at East High School. 52% of the students play sports. Of the students that play sports, 12.5% play soccer. How many students play soccer? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Let's start by finding the number of students who play sports. 52% of 400 is 52% * 400 = 0.52 * 400 = 208 students.</think> <think>Next, let's find the number of students who play soccer. 12.5% of 208 is 12.5% * 208 = 0.125 * 208 = 26 students.</think> <answer>26</answer>
26
One ticket to the underground costs $3. In one minute, the metro sells an average of 5 such tickets. What will be the earnings from the tickets in 6 minutes? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> In 1 minute, the metro sells an average of 5 tickets. To find the earnings in 1 minute, multiply the number of tickets by the cost per ticket: 5 tickets × $3 per ticket = $15 per minute. To find the earnings in 6 minutes, multiply the earnings per minute by 6: $15 per minute × 6 minutes = ? </think> <answer>9...
90
Mrs. Watson is grading 120 final exams from her American History class. On Monday, she grades 60% of the exams. On Tuesday, she grades 75% of the remaining exams. On Wednesday, how many more exams does she need to grade? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the ...
<think> On Monday, Mrs. Watson grades 60% of the 120 exams. To find 60% of 120, you can convert the percentage to a decimal by moving the decimal two places to the left, which gives you 0.6. Then multiply 0.6 by 120 to get 72 exams. So, Mrs. Watson will have graded 72 exams on Monday. There are 120 - 72 = 48 exams left...
12
The parking lot in front of the school has 52 parking spaces. The parking lot in the back of the school has 38 spaces. If 39 cars have parked and 1/2 of the spaces of the back are filled, how many parking spaces are still available in the school? Provide your reasoning in <think> tags. Write your final answer in <answe...
<think>First, let's find out how many spaces are still available in the front lot. Since 39 cars have parked, and there are 52 parking spaces, we need to subtract 39 from 52 to find how many are still available. 52 - 39 = 13. So 13 spaces are still available in the front lot.</think> <think>Next, let's find out how ma...
32
It is the rainy season in central Texas. It rained for 7 hours on Monday at a rate of 1 inch per hour. On Tuesday, it rained for 4 hours at a rate of 2 inches per hour, and on Wednesday, it rained for 2 hours at a rate of twice that of the previous day. What is the total combined rainfall, in inches, for these three...
<think> On Monday, it rained for 7 hours at a rate of 1 inch per hour, so the total rainfall on Monday is 7 inches. On Tuesday, it rained for 4 hours at a rate of 2 inches per hour, so the total rainfall on Tuesday is 4 * 2 = 8 inches. On Wednesday, it rained for 2 hours at a rate of twice that of the previous day, whi...
23
Every morning, Carla puts 79 apples in her backpack to eat for lunch. Unfortunately, Buffy stole some of Carla's apples on the school bus, and 26 apples fell out of a hole on the bottom. So at lunchtime, Carla only had 8 apples remaining. How many apples did Buffy steal from Carla? Provide your reasoning in <think> tag...
<think> Carla starts with 79 apples. Then, Buffy steals some and 26 apples fall out of the hole. This means that there are 79 - (x + 26) apples remaining, where x is the number of apples Buffy stole. We know that Carla has 8 apples remaining, so we can set up the equation: 79 - (x + 26) = 8. Rearranging the equation, w...
45
Catherine had an equal number of pencils and pens. If she had 60 pens and gave eight pens and 6 pencils to each of her seven friends and kept the rest for herself, how many pens and pencils did she have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value a...
<think> Catherine had 60 pens and the same number of pencils, so she had 60 pencils too. She gave 8 pens and 6 pencils to each of her 7 friends, which is a total of 56 pens and 42 pencils given away. This leaves her with 60 - 56 = 4 pens and 60 - 42 = 18 pencils. So, she has a total of 4 + 18 = 22 pens and pencils left...
22
On Monday, Matt worked for 450 minutes in his office. On Tuesday, he worked half the number of minutes he worked on Monday. On Wednesday, he worked for 300 minutes. How many more minutes did he work on Wednesday than on Tuesday. Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only g...
<think>Since Matt worked for 450 minutes on Monday, he worked half that amount on Tuesday, which is 450 / 2 = 225 minutes.</think> <answer>75</answer>
75
Jessie invited 4 friends over to play. They made muffins for a snack and Jesse wants to divide them equally between herself and her friends. If they made 20 muffins in total, how many will each person have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as ...
<think> Since Jessie is also going to share the muffins with her friends, she is not just dividing them among 4 friends, but among 5 friends, including herself. To find out how many muffins each person will get, we first need to find the total number of muffins, which is 20. Since there are going to be 5 people sharing...
4
Fiona and Casey share the hoodies they own. Between the two of them, they own eight hoodies. Casey owns two more than Fiona. How many hoodies does Fiona own? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Let's say Fiona owns x hoodies. Since Casey owns two more than Fiona, Casey owns x + 2 hoodies. Together, they own a total of 8 hoodies, so we can set up the equation: x + (x + 2) = 8. This simplifies to 2x + 2 = 8. Subtracting 2 from both sides gives us 2x = 6. Dividing both sides by 2 gives us x = 3.</think> ...
3
Daisy's Flower Shop sold 45 daisies on its first day. On their second day, they sold 20 more flowers than they did on their first day. On the third day, they sold 10 less than twice the flowers that were sold than on the second day. If the flower shop sold a total of 350 daisies for 4 days, how many daisies were sold o...
<think>Let's break down the information we have: * Day 1: 45 daisies * Day 2: 20 more than Day 1, so 45 + 20 = 65 daisies * Day 3: Twice the daisies of Day 2, minus 10, so 2 x 65 - 10 = 120 daisies We know that the flower shop sold a total of 350 daisies for 4 days, so we can set up the equation: 45 + 65 + 120 + ? = 3...
120
Abigail collected 2 boxes of cookies for the bake sale. Grayson collected 3 quarters of a box, and Olivia collected 3 boxes. Assuming that each box contains 48 cookies, how many cookies did they collect in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric val...
<think> Abigail collected 2 boxes of cookies, which is 2 x 48 = 96 cookies. Grayson collected 3 quarters of a box, which is 0.75 x 48 = 36 cookies. Olivia collected 3 boxes, which is 3 x 48 = 144 cookies. To find the total number of cookies, add Abigail's cookies, Grayson's cookies, and Olivia's cookies: 96 + 36 + 144 ...
276
Jimmy needs to score at least 50 points to pass to the next class. He earned 20 points for each of the 3 exams he wrote but lost 5 points during the school year for bad behavior. How many more points can Jimmy lose and still be able to pass the next class? Provide your reasoning in <think> tags. Write your final answer...
<think> Jimmy scored 20 points * 3 exams = 60 points. He lost 5 points, so he has 60 - 5 = 55 points. He needs 50 points, so he can lose 55 - 50 = 5 points and still pass.</think> <answer>5</answer>
5
Jill sells girl scout cookies. This year, she wants to sell at least 150 cookie boxes. Her first customer buys 5 boxes, Her second one buys 4 times more than her first customer. Her third customer buys half as much as her second. The fourth customer buys 3 times as much as her third. Lastly, her final customer bu...
<think> Let's calculate the total number of boxes Jill has sold so far: First customer: 5 boxes Second customer: 5 x 4 = 20 boxes Third customer: 20 / 2 = 10 boxes Fourth customer: 10 x 3 = 30 boxes Final customer: 10 boxes Total number of boxes sold: 5 + 20 + 10 + 30 + 10 = 75 boxes Since Jill wants to sell at leas...
75
Jame has 60 bars of gold. He uses 10% of them to pay for tax and then loses half of what is left in divorce. How many gold bars does he have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Jame has 60 bars of gold initially. 10% of 60 is 6, so he uses 6 bars to pay for tax, leaving him with 60 - 6 = 54 bars. Now, he loses half of what is left, which is 54 ÷ 2 = 27 bars. So, he is left with 54 - 27 =</think> <answer>27</answer>
27
The file, 90 megabytes in size, downloads at the rate of 5 megabytes per second for its first 60 megabytes, and then 10 megabytes per second thereafter. How long, in seconds, does it take to download entirely? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value ...
<think> For the first 60 megabytes, it takes 60/5 = 12 seconds to download. For the remaining 30 megabytes, it takes 30/10 = 3 seconds. So the total download time is 12 + 3 = 15 seconds. </think> <answer>15</answer>
15
Bart makes a mixtape. The first side has 6 songs. The second side has 4 songs. Each song is 4 minutes. How long is the total tape? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> The first side has 6 songs, each 4 minutes long. So the total time on the first side is 6 x 4 = 24 minutes. The second side has 4 songs, each 4 minutes long. So the total time on the second side is 4 x 4 = 16 minutes. The total time on the tape is the sum of the time on each side, which is 24 + 16 = 40 minutes....
40
Carter has a 14-hour road trip. He wants to stop every 2 hours to stretch his legs. He also wants to make 2 additional stops for food and 3 additional stops for gas. If each pit stop takes 20 minutes, how many hours will his road trip become? Provide your reasoning in <think> tags. Write your final answer in <answer...
<think> Carter needs to stop every 2 hours, which means he'll make 7 stops for stretching his legs (14/2 = 7 remainder 0). Additionally, he wants to make 2 stops for food and 3 stops for gas. This adds up to 5 more stops. Each pit stop takes 20 minutes, or 1/3 of an hour. Since he's making 7 + 5 = 12 stops, the total...
18
Tom takes medication to help him sleep. He takes 2 pills every day before bed. He needs to go to the doctor every 6 months to get a new prescription and a visit to the doctor costs $400. The medication costs $5 per pill, but insurance covers 80% of that cost. How much does he pay a year for everything? Provide your...
<think> Tom takes 2 pills every day, and there are 365 days in a year. So, he takes 2 x 365 = 730 pills in a year. The cost of each pill is $5, but insurance covers 80% of that cost. So, Tom pays 20% of $5, which is 0.2 x $5 = $1 per pill. Tom pays $1 per pill, and he takes 730 pills in a year. So, he pays 730 x $1 = $...
1530
Eric, Ben, and Jack have some money. Eric has $10 less than Ben, and Ben has $9 less than Jack. If Jack has $26, how much money, in dollars, do all 3 of them have in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Since Jack has $26, Ben has $26 - $9 = $17. Since Ben has $17, Eric has $17 - $10 = $7. To find the total amount of money, we add the amounts Eric, Ben, and Jack have: $7 + $17 + $26 = $50</think> <answer>50</answer>
50
Adam has just bought some new books so he has decided to clean up his bookcase. After he adds his new books to his bookshelf he realizes that he has bought enough books to finish completely filling his bookcase with 2 books left over. Before his shopping trip, Adam had 56 books in his bookcase. If his bookcase has 4 sh...
<think>Since the bookcase has 4 shelves and each shelf holds an average of 20 books, the total capacity of the bookcase is 4 x 20 = 80 books. After adding his new books, Adam has 56 + N = 80 + 2, where N is the number of new books. To solve for N, we can subtract 56 from both sides and add -2 to both sides: N = 80 + 2 ...
26
On a quiz, Martin answered three fewer questions correctly than Kelsey, and Kelsey answered eight more questions correctly than Campbell. If Campbell answered 35 questions correctly, how many did Martin answer correctly? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the num...
<think> Since Campbell answered 35 questions correctly, Kelsey answered 8 more, so Kelsey answered 35 + 8 = 43 questions correctly. Martin answered 3 fewer questions correctly than Kelsey, so Martin answered 43 - 3 = 40 questions correctly. </think> <answer>40</answer>
40
If Brooke adds eight balloons to his current 12, and Tracy adds 24 to her current 6, how many balloons will they have in total if Tracy pops half of her balloons? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Brooke starts with 12 balloons and adds 8 more, so Brooke has 20 balloons. Tracy starts with 6 balloons and adds 24, so Tracy has 30 balloons. If Tracy pops half of her balloons, she will have 15 balloons left. In total, they will have 20 + 15 = 35 balloons. </think> <answer>35</answer>
35
Ian had twenty roses. He gave six roses to his mother, nine roses to his grandmother, four roses to his sister, and he kept the rest. How many roses did Ian keep? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think>Let's track how many roses Ian gave away: 6 to his mother, 9 to his grandmother, and 4 to his sister. That's a total of 6 + 9 + 4 = 19 roses. Ian had 20 roses initially, so if he gave 19 away, he must have kept 20 - 19 = ...</think> <answer>1</answer>
1
An adult panda can eat 138 pounds of bamboo each day. A baby panda can eat 50 pounds of bamboo a day. How many pounds of bamboo will the pandas eat in a week? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer.
<think> Let's start by calculating the total amount of bamboo eaten by the adult panda in a week. Since an adult panda eats 138 pounds of bamboo per day, it would eat 138 x 7 = 966 pounds of bamboo in a week. Next, let's calculate the total amount of bamboo eaten by the baby panda in a week. Since a baby panda eats 5...
1316
The kindergartners each need to bring one mini tissue box to class for the school year. There are three kindergartner groups with 9, 10, and 11 students respectively. Each mini tissue box contains 40 tissues. How many tissues do the kindergartner groups bring together? Provide your reasoning in <think> tags. Write y...
<think> First, let's find the total number of kindergartners. We have three groups: 9, 10, and 11. To add these numbers, we can simply add them together: 9 + 10 + 11 = 30. Since each group needs to bring one mini tissue box, and there are 30 kindergartners in total, that means they will bring 30 mini tissue boxes. Ea...
1200
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