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Natalie has $26 to go shopping. She bought a jumper for $9, a T-shirt for $4, and a pair of heels for $5. How much money does Natalie have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, let's calculate the total amount of money Natalie spent. She bought a jumper for $9, a T-shirt for $4, and a pair of heels for $5. So, the total amount spent is \(9 + 4 + 5 = 18\) dollars. Natalie started with $26, so the amount of money she has left is \(26 - 18 = 8\) dollars.</think>
<answer>8</answer... | 8 |
Kimberley, Ela, and Houston all are sent to collect firewood by their grammy. Kimberley collects ten pounds of firewood, and Houston collects 12 pounds of firewood. If the three of them managed to collect a total of 35 pounds of firewood, how many pounds were collected by Ela? Provide your reasoning in <think> tags. Wr... | <think>Let's calculate the amount collected by Ela by subtracting the amount collected by Kimberley and Houston from the total amount collected by all three.</think>
Total amount collected by all three = 35 pounds
Amount collected by Kimberley = 10 pounds
Amount collected by Houston = 12 pounds
<answer>13</answer> | 13 |
Bruce can make 15 batches of pizza dough using a sack of flour. If he uses 5 sacks of flour per day, how many pizza doughs can he make 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>First, we need to determine how many batches of pizza dough Bruce can make in a single day. Since he uses 5 sacks of flour per day and can make 15 batches per sack, we can calculate the daily production by multiplying these two numbers. Let's do the calculation step by step.
5 sacks/day × 15 batches/sack = 75 ba... | 525 |
James has to refuel his plane. It used to cost $200 to refill the tank. He got an extra tank to double fuel capacity. Fuel prices also went up by 20%. How much does he pay now for fuel? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>James originally had to spend $200 for the regular fuel capacity of one tank. Now, he has doubled the fuel capacity. This means the new cost per tank is \( \frac{200}{1} \times \left(1 + 0.20\right) = 200 \times 1.20 \). He also needs to refill two tanks instead of one. So, the total cost will be \( 200 \times 1... | 480 |
Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock a... | <think>
Karen's first lock stalls raccoons for 5 minutes.
The second lock stalls them for 3 minutes less than three times as long as the first lock, which is \(3 \times 5 - 3 = 15 - 3 = 12\) minutes.
When both locks are used together, they stall the raccoons for five times as long as the second lock alone, which is \(5... | 60 |
A family bought 1 box of pizza that is cut into 16 slices. Only three-fourths of the pizza was eaten by the family. How many slices of pizza were left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>1. The pizza is cut into 16 slices initially.
2. Three-fourths of the pizza was eaten. So, to find out the number of slices that were eaten, we need to calculate 3/4 of 16 slices. This is 16 * 3/4 = 12 slices.
3. There were 16 slices in total and 12 have been eaten. To find the number of slices left, we subtra... | 4 |
The total number of dogs at an animal rescue center is 200. Mr. Tanner, the manager at the rescue center, gets a call that 100 dogs at another rescue center are to be moved because of weather problems. He agrees to bring the dogs to his rescue center, and after one week, gives out 40 animals for adoption. After a mont... | <number>
<think>Initially, the animal rescue center has 200 dogs. Then, Mr. Tanner brings 100 more dogs. So far, the total number of animals is 200 + 100 = 300. One week later, Mr. Tanner releases 40 animals. After a month, 60 more dogs are adopted. Subtracting the released animals and the ones adopted each month from ... | 200 |
Penny has $20. Penny buys 4 pairs of socks for $2 a pair and a hat for $7. How much money does Penny have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Let me break it down: Penny spends $2 on each pair of socks and gets 4 pairs, so she spends 4 * $2 = $8 on socks. Then she spends an additional $7 on a hat. So, in total, Penny spends $8 + $7 = $15. To find out how much money she has left, I subtract what she spent from her starting amount: $20 - $15 = $5. </thi... | 5 |
In a court-mandated traffic class, there are a certain number of drunk drivers and 3 less than 7 times that many speeders. If there are 45 students total, how many drunk drivers are there? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Let's denote the number of drunk drivers as \( D \) and speeders as \( S \).
From the problem:
1. \( D + S = 45 \)
2. \( S = 7D - 3 \)
Substituting the second equation into the first:
\[ D + (7D - 3) = 45 \]
\[ 8D - 3 = 45 \]
\[ 8D = 48 \]
\[ D = 6 \]
So, there are 6 drunk drivers.
</think>
<answer>
6
</ans... | 6 |
Elysse can carry 3 bags of groceries into her home with each trip from the car. Her brother can carry the same amount. How many trips will it take them to carry 30 bags of groceries? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Elysse and her brother can carry a total of 3 + 3 = 6 bags of groceries per trip.
To carry 30 bags, they will need 30 / 6 = 5 trips.
</think>
<answer>
5
</answer> | 5 |
Ian is looking to lose some weight. He decides to start jogging around his apartment complex every night to burn some calories. He does 5 laps around the complex every night. Each lap is 100 feet. If it takes 25 feet of jogging to burn a calorie, how many calories does Ian burn after 5 days of jogging like this? Pr... | <think>
Ian jogs 5 laps each night, with each lap being 100 feet. To calculate the total distance he jogs each night, we multiply the number of laps by the distance of each lap:
\[ 5 \text{ laps} \times 100 \text{ feet/lap} = 500 \text{ feet} \]
Next, we determine how many calories Ian burns. We know that it takes 25 ... | 100 |
Sarah's age is equal to three times Mark's age minus 4. Mark is four years older than Billy. Billy is half Ana's age. If Ana will be 15 in 3 years, how old is Sarah? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Let's denote the ages of Sarah, Mark, Billy, and Ana as S, M, B, and A, respectively.
We know that:
1. Ana will be 15 in 3 years, so Ana's current age is 15 - 3 = 12.
2. Billy is half of Ana's age, so B = A/2 = 12/2 = 6.
3. Mark is four years older than Billy, so M = B + 4 = 6 + 4 = 10.
4. Sarah's age is equal... | 26 |
Nick has 60 cans. Each can takes up 30 square inches of space before being compacted and 20% of that amount after being compacted. How much space do all the cans take up after being compacted? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, we need to determine the space each can takes up after being compacted. Each can initially takes up 30 square inches. Since the compacted size is 20% of the original size, we calculate the compacted size as follows: 30 square inches * 20% = 30 * 0.20 = 6 square inches. This means each can after being comp... | 360 |
Du Chin bakes 200 meat pies in a day. He sells them for $20 each and uses 3/5 of the sales to buy ingredients to make meat pies for sale on the next day. How much money does Du Chin remain with after setting aside the money for buying ingredients? Provide your reasoning in <think> tags. Write your final answer in <answ... | <think> Du Chin bakes 200 meat pies and sells each for $20, so his total sales for the day are 200 * $20 = $4000. He uses 3/5 of these sales for ingredients, which amounts to (3/5) * $4000 = $2400. Therefore, the money remaining after setting aside for ingredients is $4000 - $2400 = $1600. </think>
<answer>1600</answe... | 1600 |
Maria has 19 cookies. She decided to give her friend 5 of them, and half of the rest to her family. From the rest, Maria decided to eat 2 cookies. How many cookies will she have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Initially, Maria has 19 cookies. She gives 5 to her friend, so she has \(19 - 5 = 14\) cookies left. From these, she gives half to her family, which means she gives away \(14 / 2 = 7\) cookies. After giving 7 to her family, she has \(14 - 7 = 7\) cookies left. From the rest, Maria eats 2 cookies, leaving her wit... | 5 |
Kenny played 10 hours of basketball last week. He ran for twice as long as he played basketball, and he practiced on the trumpet for twice as long as he ran. How many hours did Kenny practice on the trumpet last week? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeri... | <think>First, let's determine how much Kenny ran. He ran for twice as long as he played basketball, so he ran for \(2 \times 10 = 20\) hours. Next, to find out how long he practiced on the trumpet, we consider that he practiced trumpet for twice as long as he ran, which is \(2 \times 20 = 40\) hours. Finally, he practi... | 40 |
Rachel solved 5 math problems each minute for 12 minutes before bed, but she didn't finish all of them. The next day, she finished the last 16 problems at lunch. How many math problems did she do in all? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as you... | <think>Rachel solved 5 problems each minute for 12 minutes. First, let's calculate how many problems she solved before bed: 5 problems/minute * 12 minutes = 60 problems. After solving these 60 problems, she still had to solve the last 16 problems. So, the total number of problems she solved is the sum of the problems s... | 76 |
A man is purchasing a pair of sneakers at a club store where he receives a membership discount of 10% off any purchase. In addition to the membership discount, the man also has a coupon for $10 off any pair of sneakers. If the man wants to purchase a $120 pair of sneakers and the membership discount must be applied a... | <think>
The man starts with a pair of sneakers priced at $120.
He first applies the $10 coupon, reducing the price to $110.
Next, he applies the 10% membership discount to the reduced price.
To calculate the discount amount, we multiply the reduced price by 10%: $110 * 0.10 = $11.
Subtracting this discount from the red... | 99 |
George and Harry want to fill a pool with buckets. George can carry two buckets each round, and Harry can carry three buckets each round. If it takes 110 buckets to fill the pool, how many rounds will it take to fill the pool? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give t... | <think>George and Harry work together, George transporting 2 buckets each round and Harry transporting 3 buckets each round. Together, they can transport 2 + 3 = 5 buckets per round. To find out how many rounds it will take to fill the pool, we need to divide the total number of buckets by the number of buckets they ca... | 22 |
There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think> gold balloons = 141, silver balloons = gold balloons * 2 = 141 * 2 = 282, total balloons (gold + silver) = 141 + 282 = 423, total balloons including black balloons = 423 + 150 = 573 </think> <answer>573</answer> | 573 |
Leila eats cake almost every week. Last week, she ate 6 cakes on Monday, 9 cakes on Friday, and on Saturday, she ate triple the number of cakes she ate on Monday. How many cakes does Leila eat? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, let's break down the information given:
- Leila ate 6 cakes on Monday.
- She ate 9 cakes on Friday.
- On Saturday, she ate triple the number of cakes she ate on Monday, which is \(3 \times 6\).
Now, let's calculate the number of cakes she ate on Saturday:
- Saturday's cakes = \(3 \times 6 = 18\).
Next, ... | 33 |
Baez has 25 marbles. She loses 20% of them one day. Then a friend sees her and gives her double the amount that Baez has after she lost them. How many marbles does Baez end up with? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, let's calculate how many marbles Baez loses when she loses 20% of her marbles. 25% of 25 marbles is \( 25 \times 0.2 = 5 \) marbles. Once she loses these 5 marbles, she has \( 25 - 5 = 20 \) marbles left. Then, her friend gives her double the amount she has after losing them. Since she has 20 marbles afte... | 60 |
Elyse had 100 pieces of gum. She gave half to her brother Rick. He gave half of his to his friend Shane. Shane chewed 11 pieces of gum. How many pieces does Shane have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, Elyse had 100 pieces of gum. She gave half to Rick, so Rick received: \(100 \div 2 = 50\) pieces. Rick then gave half of his to Shane, which is: \(50 \div 2 = 25\) pieces. So Shane originally got 25 pieces. Shane chewed 11 pieces, so he has: \(25 - 11 = 14\) pieces left.</think>
<answer>14</answer> | 14 |
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 starts with 3 tanks, each tank containing 4 pregnant fish. This means he has a total of \(3 * 4 = 12\) pregnant fish. Each fish gives birth to 20 young fish. Thus, all 12 pregnant fish will give birth to \(12 * 20 = 240\) young fish. So, at the end, Mark has 240 young fish.</think>
<answer>240</answer> | 240 |
Aliyah has 10 more phones than her sister Vivienne. If Vivienne has 40 phones, and the two sisters sell their phones at $400 each, calculate the total amount of money they have together? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>The amount of phones Vivienne has is 40. The number of phones Arabella has is 10 more than Vivienne, which is 40 + 10 = 50. The total phones the two of them have is 50 + 40 = 90. The total amount of money they have together is 90 * 400 = 36000. </think>
<answer>36000</answer> | 36000 |
When Jack traveled to Canada, he had to wait 20 hours to get through customs, plus 14 days in coronavirus quarantine. How many hours total did Jack have to wait? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, we need to convert the quarantine period from days to hours since the customs wait is given in hours. There are 24 hours in a day. So, we multiply 14 days by 24 hours per day: 14 days * 24 hours/day = 336 hours. Now we add the customs wait time to the quarantine wait time: 20 hours + 336 hours = 356 hours... | 356 |
At the Greene Nursery, there are 1491 red roses, 3025 yellow carnations, and 1768 white roses. How many flowers are at the Greene Nursery in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, let's add the quantities of each type of flower: red roses, yellow carnations, and white roses. Then, we can sum these quantities to find the total number of flowers at the Greene Nursery. </think> 1491 + 3025 + 1768 = 6284 <answer>6284</answer> | 6284 |
Carter has a jar with 20 green M&Ms and 20 red M&Ms. He eats 12 of the green M&Ms, then his sister comes and eats half the red M&Ms and adds 14 yellow M&Ms. If Carter picks an M&M at random now, what is the percentage chance he'll get a green M&M? Provide your reasoning in <think> tags. Write your final answer in <answ... | <think>
There are initially 40 M&Ms in total: 20 green and 20 red. After Carter eats 12 green M&Ms, there are 20 - 12 = 8 green M&Ms left. His sister eats half the red M&Ms, so she eats 20 / 2 = 10 M&Ms, leaving 20 - 10 = 10 red M&Ms.
Now, there are 8 green + 10 red + 14 yellow = 32 M&Ms in total.
Carter picks a green ... | 25 |
Jerry has three times as many stickers as George. George has 6 fewer stickers than his brother Fred. If Fred has 18 stickers, how many stickers does Jerry have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think> George has 18 - 6 = 12 stickers because Fred has 6 more stickers than George. Jerry has 12 * 3 = 36 stickers because Jerry has three times as many stickers as George. </think> <answer>36</answer> | 36 |
A clerk can process 25 forms per hour. If 2400 forms must be processed in an 8-hour day, how many clerks must you hire for that day? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, calculate how much work one clerk can do in an hour and then figure out the total amount of work available over the day. One clerk can process 25 forms per hour, so over an 8-hour day, one clerk can process 25 * 8 = 200 forms. For 2400 forms to be processed in one day, you'll need 2400 / 200 = 12 clerks. ... | 12 |
To get to an island called "Virgo", Tom needs to travel by plane and then by boat. The plane trip is four times longer than the boat trip, and the boat trip takes up to 2 hours. In how many hours is Tom able to get to the "Virgo" island? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. ... | <think>
Let's break down the problem step by step. The boat journey takes up to 2 hours, which we'll call \( T_{boat} \) for clarity.
According to the problem, the plane journey is four times longer than the boat journey, so we can represent the plane journey time as \( 4 \times T_{boat} \).
The total travel time \( ... | 10 |
Ellen is in charge of parking at a golf tournament. Once the main lot is full, she must direct cars to park in the overflow lot. She must transport the patrons who parked in the overflow lot up to the main lot using a golf cart. Ellen can fit 3 patrons in a golf cart. There are 12 patrons who came in cars and 27 from a... | <think>Let's break it down:<br>
Ellen has a total of 12 guests who came in cars and 27 from a bus in the overflow parking lot. That's a total of 12 + 27 = 39 guests.<br>Each golf cart can transport 3 patrons. To find out how many golf carts Ellen needs, we divide the total number of patrons by the capacity of one golf ... | 13 |
John raises butterflies. He has 4 jars of 10 caterpillars each. 40% of them fail to become butterflies, but the rest become caterpillars. He sells the butterflies for $3 each. How much money does he make? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value... | <think>John has 4 jars with 10 caterpillars each, so he has a total of 4 x 10 = 40 caterpillars. 40% of the caterpillars fail to become butterflies, which means 60% become butterflies. Let's calculate the number of butterflies: 40 x 0.60 = 24 butterflies. He sells each butterfly for $3, so the total money he makes is 2... | 72 |
Every ten minutes during sunset, the sky changes to a new color. How many colors did the sky turn over the two hours of a long summer sunset if each hour is sixty minutes long? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>During one hour, there are 60 minutes. Since the sky changes color every ten minutes, we can calculate how many times the sky changes color in one hour by dividing 60 by 10. Then, we multiply that total by 2 to cover the two hours of the sunset.</think>
<answer>12</answer> | 12 |
Noel bakes 4 dozen donuts for his class. There are 30 students in class, but only 80% like donuts. How many donuts does each student who likes donuts get to eat? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think> Noel bakes 4 dozen donuts equaling 48 donuts. 80% of the class likes donuts. So 0. 8*30 = 24 students like donuts. So 48 donuts / 24 students = 2 donuts per student who likes donuts. </think> <answer> 2 </answer> | 2 |
Julieta went to the store to buy a backpack and three ring-binders for her school supplies. She knew the backpack was $50, and each ring-binder cost was $20. However, at the store, she found out that the price of a back had increased by $5, and the price of a ring-binder had reduced by $2. Calculate the total amount of... | <think>
Julieta originally planned to buy a backpack for $50 and three ring-binders for $20 each, so her total cost was:
$50 (backpack) + $20 × 3 = $50 + $60 = $110.
However, the changes in price made the new prices:
- Backpack: $50 + $5 = $55
- Each ring-binder: $20 - $2 = $18.
Therefore, with the new prices, she wo... | 109 |
Josh had 100 gummy bear candies. He decided to give his 3 siblings 10 candies each. Then he gave half of the remaining candies to his best friend. If he only wants to eat 16 gummy bear candies, how many candies are left to be shared with others? Provide your reasoning in <think> tags. Write your final answer in <answer... | <think>Josh has 100 gummy bear candies. He gives 10 candies to each of his 3 siblings, which is 10 x 3 = 30 candies. After giving to his siblings, he has 100 - 30 = 70 candies left. He then gives half of these to his best friend, so his friend gets 70 / 2 = 35 candies. Josh wants to eat 16 candies, so he will have 35 -... | 19 |
DeShaun always wins the award in English class for reading the most books over the summer. This year is no different. Summer break is 80 days long. When he arrives, he notifies the teacher that he read 60 books over the summer. Each book averaged 320 pages long. The person closest to him read 75% as much as he did. How... | <think> We first find the total number of pages DeShaun read over the summer by multiplying the number of books by the average number of pages per book: 60 books * 320 pages/book = 19,200 pages. We then calculate how many pages the person closest to him read by multiplying that number by 75%: 19,200 pages * 0.75 = 14,4... | 180 |
Carolyn is planning out her final essay. The introduction will be 450 words, the conclusion will be triple the length of the introduction, and each of the four body sections will be the same length. If her essay has to be 5000 words total, how long is each section? Provide your reasoning in <think> tags. Write your fin... | <think>
Let's denote the length of each body section as \( x \).
The introduction is 450 words.
The conclusion is triple the length of the introduction, so it is \( 3 \times 450 = 1350 \) words.
Four body sections amount to \( 4x \) words.
The total length of the essay is given as 5000 words. We can set up the equat... | 800 |
Mr. Rocky went to the market to sell his handmade crafts on a particular week. He was selling jewelry at $30 each and paintings at $100 each. However, he realized the income from the sales wasn't worth the labor and materials he had used, so he decided to increase the price of jewelry by $10 each and the cost of each p... | <think>
The original price of each piece of jewelry is $30 + $10 = $40.
The original price of each painting is $100.
After the increase, the price of each piece of jewelry becomes $40, and the price of each painting becomes $100 * 1.20 = $120.
Now, we calculate the total price for two pieces of jewelry and five painti... | 680 |
Reggie's father gave him $48. Reggie bought 5 books, each of which cost $2. How much money does Reggie have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Reggie started with $48. Each book cost $2, so 5 books would cost 5 * $2 = $10. After buying 5 books, Reggie would have $48 - $10 = $38 left. Let's move forward with the final calculation.</think>
<answer>38</answer> | 38 |
Mary uses plastic grocery bags that can hold a maximum of twenty pounds. She buys 4 pounds of green beans, 6 pounds milk, and twice the amount of carrots as green beans. How many more pounds of groceries can Mary fit in that bag? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only giv... | <think>Mary buys 4 pounds of green beans, 6 pounds of milk, and twice the amount of carrots as green beans. This means she buys 2 * 4 = 8 pounds of carrots. The total weight of her groceries is 4 + 6 + 8 = 18 pounds. Since her bag can hold a maximum of twenty pounds, the remaining capacity of the bag is 20 - 18 = 2 pou... | 2 |
Kimmie received $450 from her handmade crafts at the supermarket. Her friend Zahra received 1/3 less money when she sold the same amount of handmade crafts at Etsy. If both of them save half of their earnings on the same savings account, calculate the total amount of money in the joint savings account? Provide your rea... | <think>First, let's determine how much Zahra received. We know that Zahra received 1/3 less money than Kimmie, who received $450. This means Zahra received $450 - (1/3 * $450) = $450 - $150 = $300.
Next, we need to calculate how much each of them saved. Since they both save half of their earnings, Kimmie saved $450 / ... | 375 |
On a farm, there are 2 cows, 3 pigs, and 6 goats. The farmer planned on adding 3 cows, 5 pigs, and 2 goats. How many animals will there be on the farm? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | In <think>the farmer plans to add more animals to the farm:</think>
There were originally 2 cows, 3 pigs, and 6 goats.
Planning on adding 3 cows, 5 pigs, and 2 goats.
To find the total number of animals, let's add the original count to the planned additions:
Cows: 2 + 3 = 5
Pigs: 3 + 5 = 8
Goats: 6 + 2 = 8
So, the ... | 21 |
4 friends went to buy from a clothes shop. Every item was 50% off. All four friends decided to buy a t-shirt. The original price of the t-shirt was 20 dollars. How much money did they spend in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your a... | <think>Each of the four friends bought a t-shirt at 50% off. The original price of the t-shirt is $20. Half of $20 is $10. Each friend spent $10 on the t-shirt. Four friends spending $10 each adds up to $40. Therefore, they spent a total of $40 in the store.</think>
<answer>40</answer> | 40 |
Roe saved $10 per month from January to July and saved $15 per month from August to November. How much should she save in December so she will have a total savings of $150 in the year? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, we calculate the total amount saved from January to July. This is \(10 \text{ (January-July)} \times 7 \text{ months} = 70\). Next, we calculate the total amount saved from August to November. This is \(15 \text{ (August-November)} \times 4 \text{ months} = 60\). So far, she has saved \(70 + 60 = 130\). T... | 20 |
Dorothy, Julia, and Robert go to the store to buy school supplies. Dorothy buys half as many pens as Julia. Julia buys three times as many pens as Robert. Robert buys 4 pens. If one pen costs $1.50, how much money did the three friends spend in total on pens? Provide your reasoning in <think> tags. Write your final ans... | <think>
Let's denote the number of pens Robert bought as \(R\). According to the problem, Robert bought 4 pens, so \(R = 4\).
Julia bought three times as many pens as Robert, so Julia bought \(3 \times 4 = 12\) pens.
Dorothy bought half as many pens as Julia, so Dorothy bought \(12 \div 2 = 6\) pens.
The cost of one p... | 33 |
Rose bought her mother one dozen flowers. Two of the flowers are daisies. Three-fifths of the remaining flowers are tulips and the rest are sunflowers. How many sunflowers are there? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Rose bought her mother one dozen flowers, which is 12 flowers. Out of these, 2 are daisies. So, we have:
12 - 2 = 10 flowers remaining.
Now, three-fifths of these remaining flowers are tulips. The number of tulips is:
\( \frac{3}{5} \times 10 = 6 \) tulips.
The rest of the flowers are sunflowers. Since there ... | 4 |
Jane's mother agreed to pay her $.50 for every flower bulb that Jane planted. Jane planted 20 tulip bulbs and half that amount of iris bulbs. She also planted 30 daffodil bulbs and three times that amount of crocus bulbs. How much money did Jane earn? Provide your reasoning in <think> tags. Write your final answer i... | <think>First, let's calculate how many bulbs Jane planted in total. Jane planted 20 tulip bulbs and half that amount of iris bulbs. That means she planted \(20 / 2 = 10\) iris bulbs. So, the total number of bulbs is \(20 + 10 + 30 + 90 = 150\) bulbs.
Jane’s mother pays her $.50 for every bulb, so for 150 bulbs, Jane w... | 75 |
Marco uses a fifth of an ounce of dry tea leaves to brew his morning cup of tea each day. He buys tea leaves in boxes of 28 ounces. How many weeks of daily tea does Marco get from a box? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Marco uses 1/5 of an ounce of tea leaves daily. A box contains 28 ounces of tea leaves. Let's calculate how many days' worth of tea leaves he can get from one box:
28 ounces / (1/5 ounce) = 140 days.
To find out how many weeks of daily tea Marco gets from a box:
140 days / 7 days per week = 20 weeks.</thin... | 20 |
Nina has two pairs of shoes. She bought one of them for $22, and the second one was 50% more expensive. How much did Nina pay for both pairs of shoes? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, let's determine the cost of the second pair of shoes. If the second pair is 50% more expensive than $22, we need to calculate 22 multiplied by 50% (or 0.5) and then add that to the original price. The second pair would then cost \(22 \times (1 + 0.5) = 22 \times 1.5\).
So, the cost of the second pair is ... | 55 |
John works at 2 different hospitals. At the first hospital, he sees 20 different patients each day. At the second hospital, he sees 20% more individual patients a day. He works 5 days a week. How many patients does he treat a year if he works 50 weeks a year? Provide your reasoning in <think> tags. Write your final... | <think>Let's break it down step by step. At the first hospital, John sees 20 patients each day. At the second hospital, he sees 20% more patients. First, we calculate the number of patients at the second hospital: 20 patients + 20% of 20 = 20 + 0.20(20) = 20 + 4 = 24 patients each day. Now, let's find out the total num... | 11000 |
Carlos is doing his laundry. He needs to wash two loads, which takes 45 minutes per load. Then he can combine both loads and dry them, which takes 75 minutes. How long does his laundry take in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your an... | <think>Carlos is washing two loads of laundry, each taking 45 minutes. So the total time for washing is 45 minutes/load * 2 loads = 90 minutes. After washing, he needs to dry both loads together, which takes 75 minutes. Therefore, the total time for laundry is the time for washing plus the time for drying. 90 minutes +... | 165 |
Amber is trying to decide if she wants to spend her $7 on candy or chips. She decides to buy the thing that she can get the most of. The bags of candy cost $1 and contain 12 ounces each. The bags of chips are $1.40 and contain 17 ounces each. How many ounces does she get if she buys the item that gives her the most? Pr... | <think>Amber's total money is $7. To find out how many ounces of each item she can buy, we divide the total money by the cost of one item. For the candy, it's $7 ÷ $1 = 7 bags. For the chips, it's $7 ÷ $1.40 = 5 bags. Now we calculate the total ounces for each item. For candy, it's 7 bags × 12 ounces/bag = 84 ounces. F... | 85 |
Alissa used discarded paper to make notepads for her friends. She would fold 5 pieces of letter-size paper 3 times then cut along the edges to form smaller note papers. She would then stack these smaller note papers and staple them together. How long would 1 notepad last if someone wrote 10 notes per day? Provide your ... | <think>Alissa folds each piece of paper 3 times, which means she cuts it into 2^3 = 8 smaller pieces. So each notepad has 5 x 8 = 40 smaller note papers. If someone writes 10 notes per day, 1 notepad would last 40/10 = 4 days.</think>
<answer>4</answer> | 4 |
Dan has two times as many stickers as Tom. Tom has 3 times as many stickers as Bob. If Bob has 12 stickers, how many does Dan have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Given that Bob has 12 stickers, we can find out how many Tom has next. Tom has 3 times as many stickers as Bob, so:
Tom's stickers = 3 × Bob's stickers
Tom's stickers = 3 × 12
Tom's stickers = 36
Now, Dan has two times as many stickers as Tom. Eveything scaled by 2:
Dan's stickers = 2 × Tom's stickers
Dan's ... | 72 |
Lisa was collecting socks to donate to a homeless shelter. She bought 12 pairs at a discount store. Sandra, her friend, came over and brought her 20 pairs of socks. Her cousin showed up with one-fifth the number of pairs that Sandra bought. After work, Lisa’s mom brought 8 more than three times the number of pairs Lisa... | <think> Lisa bought 12 pairs of socks herself. Sandra brought 20 pairs. Lisa's cousin brought 1/5 of what Sandra brought, which is 20/5 = 4 pairs. Lisa's mom brought 8 more than three times what Lisa started with, which is 3*12 + 8 = 44 pairs. In total, Lisa ended up with 12 + 20 + 4 + 44 = 80 pairs of socks.</think>
... | 80 |
Gretchen draws caricatures in the park on the weekends. She charges $20.00 per drawing. If she sold 24 on Saturday and 16 on Sunday, how much money did she make? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, we need to calculate the total number of drawings Gretchen sold. She sold 24 drawings on Saturday and 16 on Sunday. So, the total number of drawings sold is \(24 + 16 = 40\). Now, we know that each drawing she sells is priced at $20.00. Therefore, the total amount of money she made is \(40 \times 20 = 800... | 800 |
Beth is looking at her book collection and is wondering how many comic books she owns. She has 120 books and 65% are novels. 18 are graphic novels. The rest are comic books. What percentage of comic books does she own? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numer... | <think> Beth owns 65% novels out of 120 books, which means she has 0.65 * 120 = 78 novels. She also has 18 graphic novels. The rest of her books are comic books. First, we find the total number of comic books by subtracting the novels and graphic novels from the total. So, 120 - 78 - 18 = 24 comic books. To find the pe... | 20 |
In a basketball game, Jon scored 3 points. Jack scored 5 points more than Jon, and Tom scored 4 less than the points of Jon and Jack together. How many points did they score altogether? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Jon scored 3 points.
Jack scored 5 more than Jon, so Jack scored 3 + 5 = 8 points.
Jon and Jack together scored 3 + 8 = 11 points.
Tom scored 4 less than Jon and Jack, so Tom scored 11 - 4 = 7 points.
Altogether, they scored 3 + 8 + 7 = 18 points.
</think>
<answer>18</answer> | 18 |
When Betty makes cheesecake, she sweetens it with a ratio of one part sugar to four parts cream cheese, and she flavors it with one teaspoon of vanilla for every two cups of cream cheese. For every one teaspoon of vanilla, she uses two eggs. She used two cups of sugar in her latest cheesecake. How many eggs did she use... | <think>
Betty makes cheesecake with a sugar-to-cream cheese ratio of 1:4. She used 2 cups of sugar, so with a ratio of 1:4, she would use:
\[ \text{Amount of cream cheese} = \text{Amount of sugar} \times 4 = 2 \times 4 = 8 \text{ cups} \]
For every 2 cups of cream cheese, she uses 1 teaspoon of vanilla. So, for 8 cups... | 8 |
Lyra has an $80 budget for a week to spend on food. If she bought 1 bucket of fried chicken that costs $12 and 5 pounds of beef that cost $3 per pound. How much is left on her weekly budget? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Let's break down the spending on deer first:</think>
1. 1 bucket of fried chicken = $12
2. 5 pounds of beef at $3 per pound = 5 * $3 = $15
Total cost with deer = $12 (fried chicken) + $15 (beef) = $27
Now, let's determine how much of her budget is left:
budget = $80
cost of deer = $27
leftover budget = $80 - $... | 53 |
Victoria had $500. She went to the market and bought 2 packets of rice each at $20, 3 packets of wheat flour each at $25, and 1 soda at $150. What was her remaining balance? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Victoria started with $500. She bought 2 packets of rice at $20 each, which totals 2 * $20 = $40. She also bought 3 packets of wheat flour at $25 each, which totals 3 * $25 = $75. She bought 1 soda at $150. Adding all of these expenses together, she spent $40 + $75 + $150 = $265. To find the remaining balance, w... | 235 |
Two boys, Ben and Leo, are fond of playing marbles. Ben has 56 marbles, while Leo has 20 more marbles than Ben. They put the marbles in one jar. How many marbles in the jar? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Ben has 56 marbles. Leo has 20 more marbles than Ben, so Leo has 56 + 20 = 76 marbles. To find the total number of marbles in the jar, we add Ben's marbles to Leo's marbles: 56 + 76 = 132 marbles.</think>
<answer>132</answer> | 132 |
A fisherman catches 3 types of fish in his net. There are 32 bass, 1/4 as many trout as bass, and double the number of blue gill as bass. How many fish did the fisherman catch total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
To calculate the total number of fish caught by the fisherman, let's break it down:
1. Bass: There are 32 bass.
2. Trout:
The number of trout is 1/4 as many as the bass.
Therefore, trout = 32 * 1/4 = 8 trout.
3. Blue gill:
The number of blue gill is double that of bass.
Therefore, blue gill = 32 * ... | 104 |
Nick hides 10 chocolates in his closet. His brother Alix hides 3 times as many chocolates than Nick hides. Last night, their mom found and took 5 chocolates from Alix. How many more chocolates does Alix have than Nick? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numer... | <think>First, let's calculate how many chocolates Alix initially hides:
Alix hides 3 times as many chocolates as Nick, so Alix has \(3 \times 10 = 30\) chocolates.<br>
Their mom then took 5 chocolates from Alix, so now Alix has \(30 - 5 = 25\) chocolates left.
Now, to find out how many more chocolates Alix has than N... | 15 |
Anna spent 1/4 of her money, and now she has $24 left. How much did she have originally? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Let's denote the original amount of money Anna had as \( x \). According to the problem, she spent \( \frac{1}{4} \) of her money, which leaves her with \( 1 - \frac{1}{4} = \frac{3}{4} \) of her original amount. We know that after spending, she has $24 left. This means that \( \frac{3}{4} \) of her original mon... | 32 |
George went to a movie theater to see a movie. He paid $16 for the ticket and decided to buy some nachos. The nachos were half the price of the ticket. How much did George pay in total for the visit to the movie theater? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the num... | <think>It seems George paid half the price of the ticket for the nachos. The ticket cost $16, so the nachos cost $16/2 = $8. Now, George spent $16 for the ticket and $8 for the nachos. This totals $16 + $8 = $24. That's how much George paid in total for the visit to the movie theater.</think>
<answer>24</answer> | 24 |
A company is hosting a seminar. So far, 30 attendees from company A have been registered; company B has twice the number of attendees of company A; company C has 10 more attendees than company A; company D has 5 fewer attendees than company C. If a total of 185 attendees have registered, how many attendees who register... | <think>
Let's break down the number of attendees:
- Company A has 30 attendees.
- Company B has twice the number of attendees of company A, which is \( 2 \times 30 = 60 \).
- Company C has 10 more attendees than company A, which is \( 30 + 10 = 40 \).
- Company D has 5 fewer attendees than company C, which is \( 40 - ... | 20 |
James goes out to eat. He orders a steak and egg meal for $16. He is with his friend, who orders chicken fried steak for $14. His friend pays for half the bill and James pays the tip along with his half of the bill. They tip 20%. How much did James pay? Provide your reasoning in <think> tags. Write your final answe... | <think>First, let's calculate the total bill. James and his friend's combined order comes to $16 (steak and egg) + $14 (chicken fried steak) = $30. Half of this combined bill is $30 / 2 = $15. James pays the tip on the full bill amount, which is 20% of $30. The tip amount is 20% of $30, which equals $30 * 0.20 = $6. Th... | 21 |
James burned his hand in a freak accident. It takes him 4 weeks to heal enough to get a skin graft. After that it takes him 50% longer than that to heal from the skin graft. How long did he take to recover from everything? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give th... | <think>
James takes 4 weeks to heal enough to get a skin graft.
After the skin graft, it takes 50% longer than the initial 4 weeks, so that's 4 weeks + 4 weeks * 50% = 4 weeks + 2 weeks = 6 weeks.
To find the total recovery time, we add the time to get the graft to the time to recover after the graft: 4 weeks + 6 weeks... | 10 |
Clara brings a package of 100 stickers to school. She gives 10 stickers to a boy she likes. She gives half of the stickers which she has left to her best friends. How many stickers does Clara have left? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your... | <think>
Clara starts with 100 stickers. She gives away 10 stickers to a boy she likes, so she has 100 - 10 = 90 stickers left. Then she gives half of the remaining stickers to her best friends, which is 90 / 2 = 45 stickers. This leaves her with 90 - 45 = 45 stickers.
</think>
<answer>
45
</answer> | 45 |
Kendall is counting her change. She has a total of $4 in quarters, dimes, and nickels. If she has 10 quarters and 12 dimes, how many nickels does she have? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Let's break down Kendall's change. For the quarters, she has 10 quarters, which amount to 10 * $0.25 = $2.50. We also know she has 12 dimes, which total 12 * $0.10 = $1.20. Together, she has $2.50 + $1.20 = $3.70 from quarters and dimes. Since the total amount of change is $4, the remaining amount from nickels ... | 6 |
In a classroom there are 30 students. 1/3 of them are boys. Among the girls, 40% own dogs, 20% own a cat, and the rest have no pets. How many girls in the class have no pet? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
First, determine the number of boys in the class:
\[ \frac{1}{3} \times 30 = 10 \text{ boys} \]
This results in the number of girls:
\[ 30 - 10 = 20 \text{ girls} \]
Of these girls:
\[ 40\% \times 20 = 0.4 \times 20 = 8 \text{ girls own dogs} \]
\[ 20\% \times 20 = 0.2 \times 20 = 4 \text{ girls own cats} \]... | 8 |
A packet of candy sweets has 30 cherry-flavored sweets, 40 strawberry-flavored sweets, and 50 pineapple-flavored sweets. Aaron eats half of each of the flavored sweets and gives 5 cherry-flavored sweets to his friend. How many sweets are still in the packet of candy? Provide your reasoning in <think> tags. Write your f... | <think>
There are 30 + 40 + 50 = 120 sweet for Aaron to have started.
He eats half of each, which is 120 / 2 = 60 sweets in total.
70 sweets in total are not eaten because he gave 5 to his friend.
Arrhen eats the remaining 60 sweets.
60 sweets were eaten.
60 - 7 sweets were left total.
Now Aaron has 60-5 = 55 sweet... | 55 |
Joel’s garden is 64 square feet large. He wants to use half of the garden for fruits and half of the garden for vegetables. He wants to use a quarter of the fruit section for strawberries. How many square feet of the garden will be used for strawberries? Provide your reasoning in <think> tags. Write your final answer i... | <think>Joel's entire garden is 64 square feet. He splits this into two equal parts for fruits and vegetables, so each part is 64 / 2 = 32 square feet. A quarter of the fruit section is for strawberries, so \( \frac{1}{4} \) of 32 square feet is used for strawberries.
</think>
<answer>8</answer> | 8 |
Jessica wrote a long letter to her aunt and needed to put stamps on it to mail it. She used eight pieces of paper that weigh 1/5 of an ounce each, and her envelope weighs 2/5 of an ounce. She needed one stamp per ounce. How many stamps did Jessica need to mail her letter? Provide your reasoning in <think> tags. Write y... | <think>
Jessica used 8 pieces of paper each weighing 1/5 of an ounce. To find the total weight of the paper:
\( 8 \times \frac{1}{5} = \frac{8}{5} \) ounces.
So, the total weight of the writing materials is:
\( \frac{8}{5} + \frac{2}{5} = \frac{10}{5} = 2 \) ounces.
Since Jessica needs one stamp per ounce, she needs... | 2 |
Shane wants to take as many photos as possible this year. He takes 146 photos in the first 2 months of the year. In January, he takes 2 photos every day. The rest of the photos were taken in February. If in February he took an equal number of photos each week, how many photos did Shane take each week in February? Provi... | <think>
Shane took a total of 146 photos in the first 2 months of the year. In January, he took 2 photos every day. There are 31 days in a typical month, so if we calculate the number of photos taken in January, we get:
\[ 2 \text{ photos/day} \times 31 \text{ days} = 62 \text{ photos} \]
The remaining photos were tak... | 21 |
Mark started the day with 14 buttons. His friend Shane gave him 3 times that amount of buttons. Then his other friend Sam asked if he could have half of Mark’s buttons. How many buttons did Mark end up with? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as... | <think>Mark started with 14 buttons. Shane gave him 3 times that amount, which is 14 * 3 = 42 buttons. Then Mark had 14 + 42 = 56 buttons in total. Sam took half of Mark's buttons, so Mark was left with 56 / 2 = 28 buttons.</think>
<answer>28</answer> | 28 |
Donna cut her pizza into 12 slices and ate half for lunch. She ate 1/3 of the remaining pizza for dinner. How many slices are left for Donna's lunch tomorrow? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Donna started with 12 slices of pizza. For lunch, she ate half, which is 12/2 = 6 slices. So, there are 12 - 6 = 6 slices left. For dinner, she ate 1/3 of the remaining pizza, which is 1/3 * 6 = 2 slices. Therefore, there are 6 - 2 = 4 slices left. Tomorrow, Donna will have 4 slices to eat before lunch. </think>... | 4 |
Kim takes 4 classes in school that last 2 hours each. She drops 1 class. How many hours of classes does she have now have per day? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Kim initially takes 4 classes, each lasting 2 hours. So before she drops any class, she would have \(4 \times 2 = 8\) hours of classes daily. When she drops 1 class, she now has \(4 - 1 = 3\) classes left. Therefore, she has \(3 \times 2 = 6\) hours of classes left daily. </think>
<answer>6</answer> | 6 |
James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. 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>Let's break down the cost structure:
1. The first 100 channels cost $100.
2. The next 100 channels cost half of the first 100, which is $100 / 2 = $50.
3. The total cost is $100 + $50 = $150.
4. James splits the cost evenly with his roommate, so each person pays $150 / 2 = $75.</think>
<answer>75</answer> | 75 |
Stan can type 50 words per minute. He needs to write a 5-page paper. Each page will contain 400 words. Each hour that he types he needs to drink 15 ounces of water. How much water does he need to drink while writing his paper? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give t... | <think>First, we need to calculate the total number of words Stan needs to write for his paper. A 5-page paper with 400 words per page, results in 5 * 400 = 2000 words. Stan can type 50 words per minute, so writing 2000 words will take 2000 / 50 = 40 minutes. Since he needs to drink 15 ounces of water for every hour he... | 10 |
Grace's age is 3/8th the age of her grandmother. Her grandmother is twice the age of Grace's mother. If Grace's mother is 80 years old, how old is Grace? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Let's denote Grace's age as \( G \), her grandmother's age as \( Grandmother's age \) as \( G_{Grandmother} \), and Grace's mother's age as \( Mother's age \) as \( M \).
From the problem:
1. Grace's age is \( \frac{3}{8} \) of her grandmother's age, so \( G = \frac{3}{8} \times G_{Grandmother} \).
2. Her gran... | 60 |
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? Provide your reasoning in <thin... | <think>
First, we need to find out how many boys and girls there are at camp. Two-thirds of the 96 campers are boys, so we calculate:
\[ \text{Number of boys} = \frac{2}{3} \times 96 = 64 \]
The rest, which is one-third, are girls:
\[ \text{Number of girls} = \frac{1}{3} \times 96 = 32 \]
Next, we calculate how many b... | 56 |
Marcia's hair is 24" long at the beginning of the school year. She cuts half of her hair off and lets it grow out 4 more inches. She then cuts off another 2" of hair. How long is her hair? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, Marcia cuts half of her hair off, so she now has 24/2 = 12 inches remaining. Then, her hair grows out by 4 inches, making it 12 + 4 = 16 inches long. She then cuts off 2 more inches, leaving her hair at 16 - 2 = 14 inches. </think>
<answer>14</answer> | 14 |
John starts at an elevation of 400 feet. He travels downward at a rate of 10 feet down per minute for 5 minutes. What is his elevation now? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>John initially travels downward at a rate of 10 feet per minute for 5 minutes. This means he descends by \(10 \text{ feet/minute} \times 5 \text{ minutes} = 50 \text{ feet}\). Since he starts at an elevation of 400 feet, his new elevation is \(400 \text{ feet} - 50 \text{ feet} = 350 \text{ feet}\).</think>
<an... | 350 |
The bowling alley has 30 red bowling balls. There are 6 more green bowling balls than red. How many bowling balls are there in total? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>First, determine how many green bowling balls there are. There are 6 more green balls than red ones, which means there are 30 + 6 = 36 green bowling balls. Now, to find the total number of bowling balls, add the red and green ones together: 30 + 36 = 66.</think>
<answer>66</answer> | 66 |
Pablo made 4 stacks of toy blocks. The first stack was 5 blocks tall. The second stack was 2 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 5 blocks taller than the third stack. How many toy blocks did Pablo use in all? Provide your reasoning in <think> ... | <think>Let's break down the heights of the stacks made by Pablo:
- The first stack is 5 blocks tall.
- The second stack is 2 blocks taller than the first, so it is 5 + 2 = 7 blocks tall.
- The third stack is 5 blocks shorter than the second, so it is 7 - 5 = 2 blocks tall.
- The last stack is 5 blocks taller than the ... | 21 |
Penny's canoe can carry 6 people, but if she wants to take her dog, she will only fit 2/3 of that number inside. If every person in a trip where Penny had her dog inside the canoe weighed 140 pounds, and the dog 1/4 as much weight, calculate the total weight the canoe was carrying? Provide your reasoning in <think> tag... | <think>
Let's break it down step by step. First, we need to calculate how many people can fit in Penny's canoe when she has her dog. Since the canoe can carry 6 people without the dog, and with the dog 2/3 of that number can fit inside, we calculate as follows:
6 people / 3/2 = 6 * (2/3) = 4 people
So, if Penny has h... | 595 |
It's field trip month, and the students took six vans and four minibusses. There were 10 students on each van and 24 students on each minibus. How many students went on the field trip? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>There are six vans with 10 students each, and four minibusses with 24 students each. First, calculate the number of students who went in the vans: 6 vans * 10 students/van = 60 students. Then, calculate the number of students who went in the minibusses: 4 minibusses * 24 students/minibus = 96 students. Finally, ... | 156 |
There are 10 bags with 30 oranges each on a truck. A total of 50 pieces of oranges are rotten. Thirty pieces of oranges will be kept for making orange juice and the rest will be sold. How many pieces of oranges will be sold? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the... | <think> First, let's determine the total number of oranges initially. There are 10 bags with 30 oranges each, so there are \(10 \times 30 = 300\) oranges in total on the truck. Out of these, 50 are rotten. This means the number of good, sellable oranges is \(300 - 50 = 250\). Thirty pieces will be kept for making orang... | 220 |
Davonte is trying to figure out how much space his art collection takes up. He measures his paintings and finds he has three square 6-foot by 6-foot paintings, four small 2-foot by 3-foot paintings, and one large 10-foot by 15-foot painting. How many square feet does his collection take up? Provide your reasoning in <t... | <think>
To determine the total area occupied by Davonte's art collection, we'll calculate the area for each type of painting separately and then sum them up.
1. **Three square 6-foot by 6-foot paintings**: Each painting is a square with each side measuring 6 feet. So, the area of one painting is \(6ft \times 6ft = 36f... | 282 |
Honey earned $80 a day. Every day, she spent part of her pay and saved the rest. After 20 days of work, she spent $1360. How much did Honey save in 20 days? 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 Honey saved in 20 days, we need to calculate her total earnings and then subtract the amount she spent. Honey earns $80 per day, so after 20 days of work, she earned a total of $80 * 20 = $1600. If she spent $1360, then the amount she saved would be $1600 - $1360 = $240. </think> <answer>24... | 240 |
Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many 150 ml servings can she make? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>Watermelon puree: 500 ml
Cream: 100 ml
Total base ingredients: 500 ml + 100 ml = 600 ml
Servings: 600 ml ÷ 150 ml/serving = 4 servings</think>
<answer>4</answer> | 4 |
Jenna's doctor tells her that she should tan no more than 200 minutes a month. If she tans 30 minutes a day, two days a week for the first two weeks of the month, how many minutes can she tan in the last two weeks of the month? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give ... | <think> Jenna tans 30 minutes a day, two days a week, which is \(30 \text{ minutes/day} \times 2 \text{ days/week} = 60 \text{ minutes/week}\). Over the first two weeks, she tans \(60 \text{ minutes/week} \times 2 \text{ weeks} = 120 \text{ minutes}\) in total. Her doctor tells her to tan no more than 200 minutes a mon... | 80 |
Aunt Angela has 70 jellybeans in a jar. She wants to divide them equally and give them to her 3 nephews and 2 nieces. How many jellybeans did each nephew or niece receive? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think> Aunt Angela has a total of 3 nephews and 2 nieces, which is 5 children. To divide 70 jellybeans equally among these 5 children, we perform the following division: 70 ÷ 5 = 14. Each child will receive 14 jellybeans.</think>
<answer>14</answer> | 14 |
Alfonso earns $6 each day walking his aunt’s dog. He is saving to buy a mountain bike helmet for $340. Currently, he already has $40. If he walks his aunt's dog 5 days a week, in how many weeks should Alfonso work to buy his mountain bike? Provide your reasoning in <think> tags. Write your final answer in <answer> tags... | <think>
Alfonso saves $6 each day he walks his aunt's dog.
He wants a $340 helmet and already has $40, so he needs $340 - $40 = $300 more.
He earns $6 each day for walking the dog.
If he walks the dog 5 days a week, he earns $6 * 5 = $30 each week.
To find out how many weeks he needs to save money, we divide the total ... | 10 |
Ralph watches TV for 4 hours a day from Monday to Friday, and 6 hours a day on Saturday and Sunday. How many hours does Ralph spend watching TV in one week? Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the numeric value as your answer. | <think>
Ralph watches TV for 4 hours a day for Monday, Tuesday, Wednesday, Thursday, and Friday. That's 4 hours/day * 5 days = 20 hours from Monday to Friday.
Ralph watches TV for 6 hours a day on Saturday and Sunday. That's 6 hours/day * 2 days = 12 hours on the weekend.
Total hours spent watching TV in the week is:... | 32 |
A sixty bulb watt uses 60 watts of power each day. If Allyn has 40 such bulbs in his house and pays an electricity bill of twenty cents per power watt used, calculate Allyn's total monthly expenses on electricity in June. Provide your reasoning in <think> tags. Write your final answer in <answer> tags. Only give the nu... | <think>
To determine Allyn's total monthly expenses on electricity in June, we'll follow these steps:
1. **Calculate the daily power usage:** Since each lamp is rated at 60 watts and Allyn has 40 lamps, the total daily power usage is:
\[
60 \text{ watts/lamp} \times 40 \text{ lamps} = 2400 \text{ watts/day}
\... | 14400 |
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