dataset stringclasses 8
values | question stringlengths 6 3.12k | answer stringlengths 1 5.09k | final_answer stringlengths 0 139 ⌀ | choices listlengths 4 4 ⌀ |
|---|---|---|---|---|
OpenMathInstruct_2_sft | Will's breakfast supplied him 900 calories of energy. Then he decided to jog for half an hour, which used up 10 calories of energy per minute. What is Will's net calorie intake after jogging? | Will initially consumed 900 calories.
He then jogged for half an hour which is 30 minutes.
In 30 minutes, he lost 30 * 10 = 300 calories.
His net calorie intake after jogging is thus 900 - 300 = 600.
So Will's net calorie intake after jogging is \boxed{600} calories. | 600 | null |
OpenMathInstruct_2_sft | Emily's cycling route is 600 meters. If Emily cycled the first lap in 120 seconds, the second and third lap in 90 seconds each, what was her average speed in (m/s) for her entire ride? | To calculate the average speed, we need to first calculate the total distance traveled and the total time taken.
The total distance is 3 laps of 600 meters each, which is 3 x 600 = 1800 meters.
The total time taken is 120 seconds for the first lap, and 90 seconds each for the second and third laps, which is 120 + 90 ... | 6 | null |
OpenMathInstruct_2_sft | Ethan received $750 as a birthday gift to spend on new books and games. He bought three adventure novels at $30 each, four more puzzle books than adventure novels at $15 each, and half as many board games as puzzle books at $25 each. If he also purchased some video games, how much money did he spend on video games? | Let's break down the problem step by step.
Ethan spent money on the following items:
1. Three adventure novels at $30 each.
2. Puzzle books at $15 each. The number of puzzle books bought is 4 more than the number of adventure novels. Thus, he bought 7 puzzle books.
3. Board games at $25 each. The number of board games... | 480 | null |
OpenMathInstruct_2_sft | Maya, Sofia, and Olivia have a total of 32 players on their soccer team. If 10 players leave, but 17 new players join, how many players are there now on the team? | There were originally 32 players on the team.
10 players left the team, so 32 - 10 = 22 players remained.
Then 17 new players joined the team, so 22 + 17 = 39 players are on the team now.
Thus, there are now \boxed{39} players on the team. | 39 | null |
OpenMathInstruct_2_sft | Alex has 6 hours to play video games and do homework. She plays one game that takes 2 hours and another game that takes 1 hour. She then decides to work on her homework. If she can complete 5 math problems per minute, how many math problems does she complete before her free time is up? | Let's break this down step by step.
Alex has 6 hours of free time.
She spends 2 hours playing the first game and 1 hour playing the second game, so she spends a total of 2 + 1 = 3 hours playing games.
This means she has 6 - 3 = 3 hours left to do her homework.
Since there are 60 minutes in an hour, she has 3 x 60 = 1... | 900 | null |
OpenMathInstruct_2_sft | Mackenzie has $30 to spend at the craft store. She buys a set of paints for $12 and a sketchbook for $6. She then wants to buy as many $5 packets of stickers as she can with the money she has left. How many packets of stickers can she buy? | Mackenzie starts with $30 and spends $12 on paints and $6 on a sketchbook, so she has $30 - $12 - $6 = $12 left.
She wants to buy $5 packets of stickers, so she can buy $12 / $5 = 2.4 packets of stickers.
However, since she can't buy a fraction of a packet, she can only buy 2 packets of stickers.
Thus, Mackenzie can bu... | 2 | null |
OpenMathInstruct_2_sft | Gardener Rachel needs to fill a large container with mulch. Her wheelbarrow can carry mulch at a rate of 120 pounds per minute. Rachel's assistant, Alex, can add mulch to the container using a bucket, scooping at a rate of 15 pounds per minute. How many minutes will it take for Rachel and Alex, working together simulta... | Let's compute the total rate at which Rachel and Alex can fill the container.
Rachel's rate of filling the container is 120 pounds per minute.
Alex's rate of filling the container is 15 pounds per minute.
So the combined rate of filling the container is $120 + 15 = 135$ pounds per minute.
Now, to compute the time it ta... | 27 | null |
OpenMathInstruct_2_sft | Emily has a garden with 6 rows of 8 flowers. It takes 4 minutes to water each flower. She uses a new watering system that reduces the time by a third. How many hours did she spend watering flowers? | To calculate the total time Emily spent watering flowers, we need to first calculate the total number of flowers and then the total time it takes to water each flower with the new watering system.
There are 6 rows of 8 flowers, so there are 6 * 8 = 48 flowers.
With the old system, it took 4 minutes to water each flow... | 2.1333 | null |
OpenMathInstruct_2_sft | A motorcycle uses 15 gallons of gas to travel 300 miles. Mrs. Thompson's motorcycle has 6 gallons in it. How many more gallons of gas does she need to travel 450 miles, round trip? | Let's solve this step by step.
First, we need to find out how many miles the motorcycle can travel with 1 gallon of gas. We can do this by dividing the total miles traveled (300 miles) by the total gallons of gas used (15 gallons).
300 miles / 15 gallons = 20 miles per gallon
Now, we need to find out how many gallon... | 16.5 | null |
OpenMathInstruct_2_sft | Emily decides to build a housing complex. She purchased 300 acres for $80 per acre. After construction, she sold two-thirds of the acreage for $250 per acre. How much profit did she make? | To calculate the profit, we need to calculate the total cost of purchasing the land and the total revenue from selling the land.
The total cost of purchasing the land is $300 \times 80 = 24000$ dollars.
Emily sold two-thirds of the land, which is $300 \times \frac{2}{3} = 200$ acres.
The total revenue from selling t... | 26000 | null |
OpenMathInstruct_2_sft | A school is organizing a breakfast event for its students. They need to serve 150 bowls of oatmeal with banana. The oatmeal costs 15 cents per bowl and the banana costs 25 cents per bowl. How many dollars did the school spend on the food for the breakfast event? | The cost of oatmeal per bowl is $0.15 and the cost of banana per bowl is $0.25.
Thus, the cost of oatmeal with banana per bowl is $0.15 + 0.25 = 0.40$.
The total cost of serving 150 bowls is $0.40 * 150 = 60$ dollars.
Thus, the school spent \boxed{60} dollars on the food for the breakfast event. | 60 | null |
OpenMathInstruct_2_sft | Ava, Ethan, and Ruby have a total of 540 ducks. Ava has 15 more than triple the ducks that Ethan has. Ethan has 8 less than double the number of ducks that Ruby has. How many ducks does Ruby have? | Let's denote the number of ducks that Ruby has as R.
Since Ethan has 8 less than double the number of ducks that Ruby has, then Ethan has 2*R - 8 ducks.
Since Ava has 15 more than triple the ducks that Ethan has, then Ava has 3*(2*R - 8) + 15 ducks.
The total number of ducks is 540.
So R + (2*R - 8) + 3*(2*R - 8) + 15 ... | 61 | null |
OpenMathInstruct_2_sft | A music streaming service is offering a 30% discount on its annual premium membership, which normally costs $120. How much will the discounted membership cost? | To find the discounted membership cost, we need to calculate 30% of the normal cost and subtract it from the normal cost.
The normal cost is $120.
30% of $120 is $120 * 30 / 100 = 3600 / 100 = 36$.
So the discount reduces the cost of the membership to $120 - 36 = 84$.
Thus, the discounted membership will cost \boxed{8... | 84 | null |
OpenMathInstruct_2_sft | Emily manages a petting zoo with 5 goats and 2 ponies that eat 4 pounds of hay per day. She also has 12 rabbits that eat 2 pounds of hay per day. How many pounds of hay should Emily have to feed the animals for a day? | To calculate the total amount of hay needed for a day, we first need to calculate how much hay is consumed by each type of animal and then sum those amounts.
The goats and ponies eat 4 pounds of hay per day. Since there are 5 goats and 2 ponies, this amounts to $7 * 4 = 28$ pounds of hay.
The rabbits eat 2 pounds of ... | 52 | null |
OpenMathInstruct_2_sft | The teacher told the class that if they averaged at least 75% on their final exam, they could have a pizza party. Everyone took the exam on Monday, except for William, who was allowed to take it on Tuesday. If there are 30 people in the class, and the average before he took the test was a 74%, what score does he have t... | To determine what score William needs to get, we need to calculate the total score of the class before he took the test.
Since there are 30 people in the class and William has not taken the test yet, we only have scores of 29 people.
Let's assume the total score of the class before William took the test is x.
We kn... | 94 | null |
OpenMathInstruct_2_sft | Emily aims to read 240 pages of a book in a day. She reads 30 pages every 45 minutes. After how many hours will she be able to read a total of 240 pages of the book? | Since Emily reads 30 pages every 45 minutes, to calculate how long it will take her to read 240 pages, we need to first calculate how many 45-minute intervals are needed to read 240 pages.
We divide the total number of pages (240) by the number of pages she reads in 45 minutes (30).
240 / 30 = 8, so it will take her 8 ... | 6 | null |
OpenMathInstruct_2_sft | Daniel has $18 remaining in his savings account. His grandmother gifted him $30 for his birthday, and his grandfather gave him three times the amount his grandmother gave him. How much money does Daniel have now? | Daniel initially had $18.
His grandmother gave him $30.
His grandfather gave him $30 * 3 = 90$.
Adding these amounts together, we get $18 + 30 + 90 = 48 + 90 = 138$.
So now Daniel has \boxed{138} dollars. | 138 | null |
OpenMathInstruct_2_sft | A seamstress can sew 4 dresses in an hour. From Monday to Wednesday, the seamstress works for 7 hours each day, and on Thursday and Friday, she works for 5 hours each day. How many dresses can the seamstress sew in a week? | Let's break down the number of hours the seamstress works each day:
* Monday to Wednesday: 7 hours/day x 3 days = 21 hours
* Thursday and Friday: 5 hours/day x 2 days = 10 hours
Total number of hours worked in a week = 21 + 10 = 31 hours
Since the seamstress can sew 4 dresses in an hour, the total number of dresses ... | 124 | null |
OpenMathInstruct_2_sft | Ava spends half the number of hours playing the piano as her sister, Sophia, does in a month. Their brother, Ethan, practices guitar for three times the combined total number of hours both Ava and Sophia spend playing the piano. Calculate the number of hours Ethan spends practicing guitar if Ava plays the piano for 8 h... | Since Ava plays the piano for 8 hours a month and she spends half the number of hours as Sophia does, Sophia plays the piano for 2 * 8 = 16 hours a month.
The combined total number of hours both Ava and Sophia spend playing the piano is 8 + 16 = 24 hours.
Since Ethan practices guitar for three times the combined tota... | 72 | null |
OpenMathInstruct_2_sft | Maria has orange trees that produce 4 oranges each. If an orange can be sold for $2 and Maria needs $64, how many orange trees does she have to harvest? | Since each tree produces 4 oranges and each orange can be sold for $2, the total amount of money Maria can get from one tree is $2 * 4 = 8$.
To get $64, Maria needs to harvest $64 / 8 = 8$ trees.
Thus, Maria needs to harvest \boxed{8} trees. | 8 | null |
OpenMathInstruct_2_sft | A clothing store is having a 30% sale on all winter coats. What will be the new price of a men's woolen coat that originally cost $180? | To find the new price of the coat after a 30% discount, we need to calculate the discount amount first.
Discount amount = Original price * Discount percentage
= $180 * 30%
= $180 * 30/100
= $54
New price = Original price - Discount amount
= $180 - $54
= $126
So, the new price of the men's woolen coat will be \boxed{... | 126 | null |
OpenMathInstruct_2_sft | Kenneth has 30 cats in his animal shelter. If 70% of them are female, and 2/3 of the female cats give birth to 8 kittens each, calculate the total number of kittens that Kenneth remains with after donating 75 kittens to a local animal rescue organization. | The total number of female cats in the shelter is 70% of 30.
This amounts to $30 * 70 / 100 = 2100 / 100 = 21$ female cats.
2/3 of these female cats give birth to 8 kittens each.
So the total number of female cats that give birth to kittens is $21 * 2 / 3 = 42 / 3 = 14$.
Each of these 14 female cats give birth to 8 kit... | 37 | null |
OpenMathInstruct_2_sft | Emily is taking a domestic flight to visit her family for the holidays. The flight is scheduled to depart at 9:30 am, and it is recommended that she check in 1.5 hours prior to departure. It will take her 30 minutes to drive to the airport and another 10 minutes to find parking and reach the terminal. What is the lates... | To determine the latest time Emily can leave her house, we need to work backwards from the recommended check-in time.
The flight departs at 9:30 am, and Emily needs to check in 1.5 hours prior, which is 8:00 am.
It will take her 10 minutes to find parking and reach the terminal, so she needs to arrive at the airport ... | 7:20 | null |
OpenMathInstruct_2_sft | Alexandra has a box of apples. She gives her brother 45 apples, gives her sister three times as many apples as she gave her brother, and gives one-quarter of the amount of apples she gave her sister to her friend. How many apples does she have left if the box originally contains 540 apples? | To solve this problem, let's follow the sequence of events.
First, Alexandra gives her brother 45 apples.
Then, she gives her sister three times as many apples as she gave her brother, so she gives her sister 3 * 45 = 135 apples.
After that, she gives her friend one-quarter of the amount of apples she gave her sister,... | 327 | null |
OpenMathInstruct_2_sft | Emily purchased a total of 15 kilograms of peach, pineapple, cherry, and watermelon fruits. She bought 4 kilograms of peaches, 2 kilograms of pineapple, and 5 kilograms of cherries. How many kilograms of watermelon did she purchase? | Let's break down the total amount of fruits Emily purchased, which is 15 kilograms.
We know that she bought 4 kilograms of peaches, 2 kilograms of pineapple, and 5 kilograms of cherries.
Adding these amounts together, we get 4 + 2 + 5 = 6 + 5 = 11 kilograms.
Since the total is 15 kilograms, the amount of watermelon she... | 4 | null |
OpenMathInstruct_2_sft | Ashley purchases all her family's weekly pastries and bread from a nearby bakery. She buys 3 loaves of whole wheat bread at $2.75 each for her family's breakfast. She also needs 2 packs of English muffins that cost $2.25 each and a Ciabatta loaf that costs $3.25. Additionally, she gets a $1.75 chocolate éclair as a tre... | To find the total amount Ashley spends at the bakery over 5 weeks, we first need to calculate how much she spends each week and then multiply that by 5.
Weekly expenses:
- 3 loaves of whole wheat bread at $2.75 each is $3 * 2.75 = 8.25$.
- 2 packs of English muffins at $2.25 each is $2 * 2.25 = 4.5$.
- 1 Ciabatta loa... | 88.75 | null |
OpenMathInstruct_2_sft | A bakery is known for its generous filling of jam in their doughnuts. One box of 15 doughnuts had 7 doughnuts with a double layer of jam. If a single layer of jam is considered as one unit of filling, and a double layer as two units, how many units of jam filling are there in the entire box? | Since there are 7 doughnuts with a double layer of jam, and the rest (15-7=8) have a single layer of jam, we have a total of $7*2 + 8*1$ units of jam filling.
So there are $14 + 8 = 22$ units of jam filling.
Thus, there are \boxed{22} units of jam filling in the entire box. | 22 | null |
OpenMathInstruct_2_sft | Lauren needs to create 48 true-or-false questions and 24 essay questions for her History class. She has already written 1/4 of the true-or-false and 1/2 of the essay questions. How many more questions does she need to write for both true-or-false and essay? | Let's break down the problem into two parts: true-or-false questions and essay questions.
True-or-false questions: Lauren needs to create 48 questions and has already written 1/4 of them.
So, the number of true-or-false questions she has written is 1/4 * 48 = 0.25 * 48 = 12
Therefore, the number of true-or-false que... | 48 | null |
OpenMathInstruct_2_sft | A bakery sells chocolate cakes for $2.50 per slice. Each whole cake is cut into 8 slices. If they bake 9 whole chocolate cakes, how much money will the bakery earn? | The bakery bakes 9 whole cakes, each cut into 8 slices, so they have 9 * 8 = 72 slices in total.
Each slice is sold for $2.50.
The total amount of money the bakery will earn is 72 * $2.50 = $180.
Thus, the bakery will earn \boxed{180} dollars. | 180 | null |
OpenMathInstruct_2_sft | Eight colleagues want to buy a farewell gift for their retiring boss. They agree to divide the cost of the gift equally among themselves. However, two of the colleagues change their minds and decide not to contribute. The remaining colleagues split the cost equally, and each share is now $12 more. What is the total cos... | Let's denote the total cost of the gift by $x$.
Initially, the cost of the gift is split equally among 8 colleagues.
So, initially, the share of each colleague is $\frac{x}{8}$.
After 2 colleagues change their minds, the remaining 6 colleagues split the cost equally.
The share of each of the remaining colleagues is now... | 288 | null |
OpenMathInstruct_2_sft | A bookstore has 320 novels on its shelves. On Monday, 90 novels are sold to customers. On Tuesday, 20 new novels are received as part of a shipment. On Wednesday, 40 more novels are purchased by readers. How many novels does the bookstore have now? | Let's compute the number of novels the bookstore has after each day.
The bookstore starts with 320 novels.
After Monday, the bookstore has 320 - 90 = 230 novels.
After Tuesday, the bookstore has 230 + 20 = 250 novels.
After Wednesday, the bookstore has 250 - 40 = 210 novels.
Thus, the bookstore now has \boxed{210} nove... | 210 | null |
OpenMathInstruct_2_sft | In a 60-item exam, Liza got 90% of the items correctly. Her best friend, Rose, got 2 more correct answers than her. How many incorrect answers did Rose have? | To solve this problem, let's break it down into steps:
1. First, we need to find out how many correct answers Liza got.
Since Liza got 90% of the items correctly, and the total number of items is 60, Liza got $60 * 90 / 100 = 5400 / 100 = 54$ correct answers.
2. Rose got 2 more correct answers than Liza.
So Rose got ... | 4 | null |
OpenMathInstruct_2_sft | Emily is opening a pet store. She has 12 parakeets. She has three times as many goldfish as she does parakeets. She has 4 fewer hamsters than she does goldfish. Emily has 6 more rabbits than she does hamsters. Emily has 1/4 as many turtles as she does rabbits. How many total pets does Emily have? | Let's start by identifying the number of each type of pet Emily has:
* Parakeets: 12
* Goldfish: 3 times as many as parakeets = 3 x 12 = 36
* Hamsters: 4 fewer than goldfish = 36 - 4 = 32
* Rabbits: 6 more than hamsters = 32 + 6 = 38
* Turtles: 1/4 as many as rabbits = 38 / 4 = 9.5, but since you can't have a fraction... | 127 | null |
OpenMathInstruct_2_sft | Tom purchased 9 boxes of blue crayons and 5 boxes of green crayons. Each box contained 24 crayons. How many more blue crayons than green crayons did Tom buy? | Let's start by calculating the total number of crayons of each color that Tom bought.
He bought 9 boxes of blue crayons with 24 crayons per box, so he bought 9 * 24 = 216 blue crayons.
He bought 5 boxes of green crayons with 24 crayons per box, so he bought 5 * 24 = 120 green crayons.
The difference between the number ... | 96 | null |
OpenMathInstruct_2_sft | In a jungle ecosystem, each spider needs to eat 20 mosquitoes per day to survive. Each lizard needs to eat 5 spiders per day to sustain itself. Each snake needs to eat 12 lizards per day to live. If the jungle is home to 7 snakes, how many mosquitoes get eaten every day? | To solve this problem, we can start from the top of the food chain and work our way down.
Each snake eats 12 lizards per day, and there are 7 snakes, so the total number of lizards eaten per day is 7 * 12 = 84.
Each lizard eats 5 spiders per day, so the total number of spiders eaten per day is 84 * 5 = 420.
Each spi... | 8400 | null |
OpenMathInstruct_2_sft | Kirill is 14 less centimeters in height than his brother. Together their heights equal 112 centimeters. How tall is Kirill in centimeters? | Let's denote Kirill's height as $x$ centimeters.
Since Kirill is 14 centimeters less in height than his brother, his brother's height is $x + 14$ centimeters.
The problem states that the sum of their heights equals 112 centimeters. So we have:
$x + (x+14) = 112$
Simplifying the equation, we get:
$2x + 14 = 112$
$2x = 1... | 49 | null |
OpenMathInstruct_2_sft | Amy bought a 15-foot spool of string to cut up into wicks for making candles. If she cuts up the entire string into an equal number of 6-inch and 12-inch wicks, what is the total number of wicks she will have cut? | To find the total number of wicks Amy will have cut, we need to first convert the length of the string from feet to inches, and then determine how many 6-inch and 12-inch wicks she can cut.
Since 1 foot is equal to 12 inches, a 15-foot string is equal to 15 * 12 = 180 inches.
Let's assume Amy cuts x number of 6-inch ... | 20 | null |
OpenMathInstruct_2_sft | Emily is reading a 432-page novel. She has already read 187 pages of the novel. If she skipped the 8 pages of acknowledgments and the 12 pages of glossary, how many more pages does she have left to read to finish the novel? | Let's first calculate the total number of pages that Emily doesn't need to read.
She can skip 8 pages of acknowledgments and 12 pages of glossary, so in total, she can skip 8 + 12 = 20 pages.
She has already read 187 pages of the novel.
So she has read or can skip 187 + 20 = 207 pages of the novel.
Since the novel has ... | 225 | null |
OpenMathInstruct_2_sft | Emily creates a new painting every 3 days for 2 years. If she doesn't paint on December 25th and January 1st, how many paintings has she created? | Let's compute the number of days in 2 years.
There are 365 days in a year.
Thus there are 365*2 = 730 days in two years.
However, since Emily does not paint on Dec 25th and Jan 1st, we need to subtract these 2 days.
Thus the total number of days she paints is 730 - 2 = 728 days.
Now since she paints a new painting ever... | 242 | null |
OpenMathInstruct_2_sft | Maya's project was divided into four stages. She completed the first stage of her project in 30 minutes. The second stage took her three times as long to finish. If she was able to complete her project in 3 hours, how many minutes did Maya spend on the last two stages of her project? | First, we need to find out how much time Maya spent on the second stage of her project. Since the second stage took her three times as long as the first stage, and the first stage took 30 minutes, the second stage took 3 * 30 = 90 minutes.
Next, we need to find out the total time Maya spent on all four stages of her p... | 60 | null |
OpenMathInstruct_2_sft | 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? | Bruce can make 15 batches of pizza dough using a sack of flour.
With 5 sacks of flour per day, he can make $5 * 15 = 75$ batches of pizza dough per day.
There are 7 days in a week, so he can make $75 * 7 = 525$ batches of pizza dough per week.
Thus, Bruce can make \boxed{525} batches of pizza dough in a week. | 525 | null |
OpenMathInstruct_2_sft | A marina has 5 yachts and three times as many speedboats. The number of rowboats is 8 more than the speedboats and five times more than paddleboats. How many boats are there in the marina? | Let's break down the information given:
* There are 5 yachts.
* There are three times as many speedboats as yachts, which means 3 * 5 = 15 speedboats.
* The number of rowboats is 8 more than the speedboats, so rowboats = 15 + 8 = 23.
* The number of rowboats is also five times more than paddleboats, so paddleboats = 2... | 47 | null |
OpenMathInstruct_2_sft | Alex spent 180 dollars to repair his bike. It required three new tires that cost 15 dollars each, and labor cost 0.75 dollars a minute. How many hours did the mechanic work? | To calculate the number of hours the mechanic worked, we first need to subtract the cost of the tires from the total cost, to determine the labor cost.
The cost of the three tires is $3 * 15 = 45$ dollars.
So the labor cost is $180 - 45 = 135$ dollars.
Since labor costs $0.75 per minute, we can calculate the number ... | 3 | null |
OpenMathInstruct_2_sft | At a film festival, 6 crews are participating. Each crew consists of 8 members, and each member requires a camera to shoot with and another camera as a backup. Since none of the cameras have memory cards yet, each member is given 2 memory cards per camera. How many memory cards have been handed out? | There are 6 crews participating.
Each crew consists of 8 members, so the total number of members is 6*8 = 48.
Each member requires 2 cameras, so the total number of cameras is 48*2 = 96.
Each camera requires 2 memory cards, so the total number of memory cards is 96*2 = 192.
Thus, 192 memory cards have been handed out.
... | 192 | null |
OpenMathInstruct_2_sft | To prepare for the marathon, Samantha would cycle 6 miles on the first day of her training. She would triple the miles for day 2 and then double the miles from day 2 for day 3. How many miles did Samantha cycle in the first three days of her training? | Let's break it down:
Day 1: Samantha cycled 6 miles.
Day 2: She tripled the miles, so she cycled 3 * 6 = 18 miles.
Day 3: She doubled the miles from Day 2, so she cycled 2 * 18 = 36 miles.
Total miles cycled in the first three days = 6 + 18 + 36 = 24 + 36 = 60 miles.
So, Samantha cycled \boxed{60} miles in the first... | 60 | null |
OpenMathInstruct_2_sft | Emily is styling her hair. She applies a pre-styling treatment that takes 4 minutes to set, three hair rollers that take 2 minutes each to hold, and a hair spray that takes 6 minutes to fix. How many minutes total does Emily spend waiting for her hair styling products to set? | Let's calculate the time Emily spends waiting for her hair styling products to set.
The pre-styling treatment takes 4 minutes to set.
Each hair roller takes 2 minutes to hold, and there are three of them, so they take 2 * 3 = 6 minutes in total.
The hair spray takes 6 minutes to fix.
So, in total, Emily spends 4 + 6 ... | 16 | null |
OpenMathInstruct_2_sft | A skyscraper has 12 floors, and there are two elevators: a fast elevator that goes to the odd-numbered floors and takes 12 seconds to reach each floor, and a slow elevator that goes to the even-numbered floors and takes 18 seconds to reach each floor. If you are on the ground floor, how many minutes will it take to rea... | To reach the 12th floor, you need to take the slow elevator as it goes to the even-numbered floors.
The slow elevator takes 18 seconds to reach each floor.
Since you are starting from the ground floor, you will pass through a total of 12 floors (including the ground floor) but the time taken to reach the ground floor ... | 1.8 | null |
OpenMathInstruct_2_sft | 75% of Rachel's classmates are seniors and the rest are juniors. If she has 42 classmates who are seniors, how many classmates does she have who are juniors? | Let's denote the total number of Rachel's classmates as $x$.
We know that 75% of her classmates are seniors.
So 75% of $x$ is 42.
We now express this mathematically and solve for $x$.
We have $75*x/100 = 42$.
This implies $x = 42*100/75$ which is the same as $x = 56$.
Since the rest of her classmates are juniors, the n... | 14 | null |
OpenMathInstruct_2_sft | A pizza was cut into 12 slices. Eight friends ordered 3 pizzas. If they all eat all 3 pizzas equally, how many slices of pizza did each of them eat? | Since there are 3 pizzas and each pizza has 12 slices, the total number of slices is $3 \times 12 = 36$.
There are 8 friends who will eat the pizzas equally.
So each friend will eat $36 \div 8 = 4.5$ slices.
Thus, each friend ate \boxed{4.5} slices of pizza. | 4.5 | null |
OpenMathInstruct_2_sft | Willow, the Golden Retriever, has 6 tennis balls. Her owner gives her enough tennis balls to triple her number of tennis balls. However, during a game of fetch, 4 of Willow's tennis balls get lost in the nearby woods. How many tennis balls does Willow have left? | Willow starts with 6 tennis balls.
When her owner triples the number of tennis balls, she will have 6 * 3 = 18 tennis balls.
However, 4 of these balls get lost.
Thus, Willow is left with 18 - 4 = 14 tennis balls.
So Willow has \boxed{14} tennis balls left. | 14 | null |
OpenMathInstruct_2_sft | Astrid enjoys cycling every evening. If each ride takes her 2 hours covering 12 miles, and she missed her ride for 5 days in April, calculate the total number of miles she's cycled if she cycled every other day of the month (April has 30 days). | Since Astrid missed her ride for 5 days in April and cycled every other day of the month, she must have cycled on 30 - 5 = 25 days.
Each ride takes her 2 hours covering 12 miles.
Thus the total number of miles she cycled is 25 * 12 = \boxed{300}. | 300 | null |
OpenMathInstruct_2_sft | Ava's family goes on a road trip to visit their grandparents. They cover the first 120 miles in 2 hours, stopping for lunch at a diner. After lunch, they continue their journey for another 240 miles. What's the total number of hours they spent traveling? | Since the problem states they cover the first 120 miles in 2 hours, we can find the speed they were traveling by dividing the distance by the time.
The speed they were traveling is 120 miles / 2 hours = 60 miles/hour.
After lunch, they continue their journey for another 240 miles at the same speed of 60 miles/hour.
The... | 6 | null |
OpenMathInstruct_2_sft | In a forest, there are two types of wildflowers: ones with white petals and ones with yellow petals. The yellow-petaled flowers are less common, with only one growing for every seven white-petaled flowers that grow. A clearing in the forest had 48 wildflowers blooming. How many yellow-petaled flowers were blooming in t... | Let's say the number of yellow-petaled flowers is y. Since there is one yellow-petaled flower for every seven white-petaled flowers, the number of white-petaled flowers is 7y.
The total number of wildflowers in the clearing is 48, so we can set up the equation: y + 7y = 48.
This equation simplifies to 8y = 48, which ... | 6 | null |
OpenMathInstruct_2_sft | Octavia is half of Lucas's age, and Lucas is a fifth of Julian's age. Julian is three times Ava's age, and Lila is a quarter of Ava's age. Caleb is 5 years older than Lila but 3 years younger than Ethan, who is 25 years old. How old, in years, is Octavia? | Let's break down the information step by step.
Ethan is 25 years old.
Caleb is 3 years younger than Ethan, so Caleb is 25 - 3 = 22 years old.
Caleb is 5 years older than Lila, so Lila is 22 - 5 = 17 years old.
Lila is a quarter of Ava's age, so Ava is 17 * 4 = 68 years old.
Julian is three times Ava's age, so Julian i... | 20.4 | null |
OpenMathInstruct_2_sft | Dylan swims three times as fast as Alex. If it takes Alex 15 minutes to swim 500 meters, how long, in minutes, will it take Dylan to swim 2 kilometers? | First we need to find the swimming rate of Alex.
Alex can swim 500 meters in 15 minutes.
Thus the rate at which Alex swims is 500 meters / 15 minutes = 33.33 meters/minute.
Since Dylan swims three times as fast as Alex, Dylan can swim at a rate of 3 * 33.33 = 100 meters/minute.
Now we calculate the time it will take f... | 20 | null |
OpenMathInstruct_2_sft | Emily purchased groceries totaling $65. She spent $18 on eggs, $11 on yogurt, and $8 on juice. The only other item she bought was cheese. How much did the cheese cost her? | To find the cost of cheese, we subtract the total cost of eggs, yogurt, and juice from the total cost of groceries.
So, $65 - ($18 + $11 + $8) = $65 - $37 = $28.
Thus, Emily spent \boxed{28} dollars on cheese. | 28 | null |
OpenMathInstruct_2_sft | There are 75 rabbits in a farm. Each rabbit eats 2 pounds of food per day. 15% of the rabbits require a special diet that costs $2 per pound. How much does it cost to feed these rabbits each day? | To solve the problem, we first need to calculate how many rabbits require a special diet.
15% of 75 rabbits is (15/100) * 75 = 11.25.
Since we can't have a fraction of a rabbit, we will round this down to 11 rabbits.
Now we calculate how much food is needed for these 11 rabbits.
Each rabbit eats 2 pounds of food per... | 44 | null |
OpenMathInstruct_2_sft | Mia has $90 in her wallet. She spent $10 on a book. Then, she spent a quarter of the remaining money on a pair of earrings. Afterwards, she went to the bank and deposited a third of her remaining money. How much cash was Mia left with? | Let's compute how much cash Mia was left with step by step.
Mia started with $90 and then spent $10 on a book. So she had $90 - 10 = 80$ left.
Then she spent a quarter of the remaining money on a pair of earrings. A quarter of $80 is $80 / 4 = 20$. So after spending on earrings, she was left with $80 - 20 = 60$.
Afterw... | 40 | null |
OpenMathInstruct_2_sft | Emily is 5 inches taller than her sister Mia. Mia is 2 inches taller than her classmate Ava. If Ava is 48 inches tall, how tall is Emily? | We know that Ava is 48 inches tall.
Mia is 2 inches taller than Ava, so Mia's height is 48 + 2 = 50 inches.
Emily is 5 inches taller than Mia, so Emily's height is 50 + 5 = 55 inches.
Therefore, Emily is \boxed{55} inches tall. | 55 | null |
OpenMathInstruct_2_sft | Ethan's family is planning a family reunion. The reunion will include his 2 grandfathers and 3 grandmothers who each have 2 sons and 1 daughter, as well as his sister and father. In total, how many people are coming to Ethan's family reunion? | Let's break down the number of people attending the reunion:
* 2 grandfathers
* 3 grandmothers
* Each grandfather has 2 sons and 1 daughter, so each has 3 children. In total, 2 grandfathers have 2 x 3 = 6 children.
* Each grandmother has 2 sons and 1 daughter, so each has 3 children. In total, 3 grandmothers have 3 x ... | 22 | null |
OpenMathInstruct_2_sft | Lily and Finn are having a playdate at the park with their cats. If there are 20 legs/paws on the playground, how many cats do Lily and Finn have? | Let's assume that both Lily and Finn have two legs each.
So the total number of legs from both Lily and Finn is $2 + 2 = 4$.
Since there are 20 legs/paws in total on the playground, the number of paws from cats is $20 - 4 = 16$.
Each cat has 4 paws.
So the number of cats can be calculated by dividing the total number o... | 4 | null |
OpenMathInstruct_2_sft | Jackson took a taxi to the airport. The taxi company charged him a base fare of $5 and an additional $2 for every mile he traveled. If Jackson paid a total of $17, how many miles is the airport from his starting location? | Let's break it down step by step:
The taxi company charged a base fare of $5 and an additional $2 for every mile traveled.
Let x be the number of miles Jackson traveled.
The total amount he paid is the base fare plus the additional charge for the miles traveled, which is $5 + $2x.
According to the problem, the total ... | 6 | null |
OpenMathInstruct_2_sft | Samantha wants to blow up as many balloons as possible for a birthday party. She has 12 packets of balloons, and each packet contains 9 balloons. If she inflates all the balloons except for 5, how many balloons does she blow up in total? | To find the total number of balloons Samantha blows up, we first need to find the total number of balloons she has.
Since she has 12 packets of balloons with 9 balloons in each packet, the total number of balloons she has is $12 * 9 = 108$.
Since she does not inflate 5 balloons, she inflates $108 - 5 = 103$ balloons.
T... | 103 | null |
OpenMathInstruct_2_sft | A typical tournament of tennis has 4 rounds. There are 8 games in the first round, 4 in the second round, 2 in the third round and 1 during the finals. If each game requires new tennis balls, and on average each game uses 5 cans of tennis balls, how many tennis balls in total are used at the end of the tournament if ea... | To calculate the total number of tennis balls used in the tournament, we first need to determine the total number of games played and then multiply that by the number of cans of tennis balls used per game, and finally multiply by the number of tennis balls per can.
1. Total games played = 8 (first round) + 4 (second r... | 225 | null |
OpenMathInstruct_2_sft | Ashley offers to drive her three colleagues to a conference every week. The four of them agree to split the fuel costs equally to thank Ashley for driving. The round trip to the conference is 48 miles, gas costs $2.75/gallon, Ashley's car gets 25 miles/gallon, and they attend the conference 4 weeks in a row. How much d... | To find out how much each person pays toward gas, we first need to calculate the total fuel cost for the entire duration of the conference.
Ashley drives a round trip of 48 miles each week.
For 4 weeks, she drives a total of $48 * 4 = 192$ miles.
Her car gets 25 miles/gallon. So for 192 miles, she uses $192 / 25 = 7.6... | 5.28 | null |
OpenMathInstruct_2_sft | Danielle produces 25 bouquets of flowers daily. She does this for 12 days and then gives away one-third of the bouquets to a local hospital. How many bouquets of flowers does Danielle have left? | Let's break down the problem step by step.
Danielle produces 25 bouquets of flowers daily for 12 days.
So she produces a total of 25 * 12 = 300 bouquets.
Then she gives away one-third of the bouquets to a local hospital.
One-third of 300 bouquets is 300 / 3 = 100 bouquets.
So Danielle has 300 - 100 = 200 bouquets l... | 200 | null |
OpenMathInstruct_2_sft | A city has 15 districts, each having 5 avenues running through them. Each of the avenues has 300 benches on each side. Calculate the total number of benches on all the avenues of the districts in the city. | To find the total number of benches, we first need to determine the number of benches on a single avenue. Since each avenue has 300 benches on each side, the total number of benches on one avenue is 300 * 2 = 600.
Next, we need to find the total number of avenues in the city. With 15 districts and 5 avenues per distri... | 45000 | null |
OpenMathInstruct_2_sft | The moon has a surface area that is 1/5 that of Earth. The surface area of the Earth is 200 square acres. The land on the moon is worth 6 times that of the land on the Earth. If the total value of all the land on the earth is 80 billion dollars, what is the total value in billions of all the land on the moon? | Let's break it down step by step:
1. The surface area of the Earth is 200 square acres.
2. The moon has a surface area that is 1/5 that of Earth, so the surface area of the moon is 200 / 5 = 40 square acres.
3. The land on the moon is worth 6 times that of the land on the Earth.
4. The total value of all the land on t... | 96 | null |
OpenMathInstruct_2_sft | Alex biked 87 miles on the first day of his four-day cycling trip and 135 miles on the second day. If he covered a total distance of 412 miles during the entire trip, how many miles did Alex bike on the last two days combined? | To find the miles Alex biked on the last two days combined, we need to subtract the miles biked on the first two days from the total miles.
Alex biked 87 miles on the first day and 135 miles on the second day. So he biked 87 + 135 = 222 miles in the first two days.
The total miles biked in the entire trip is 412 mile... | 190 | null |
OpenMathInstruct_2_sft | Lily has $180 in her savings account. She took out $45 to buy a birthday gift for her friend. The following week, she added three times as much money as she took out. How much is in her savings account now? | Let's break it down step by step:
Lily initially had $180 in her savings account.
She took out $45 to buy a birthday gift for her friend, leaving her with $180 - 45 = 135$.
The following week, she added three times as much money as she took out, which is 3 * 45 = 135$.
Adding this amount to her current balance, she no... | 270 | null |
OpenMathInstruct_2_sft | Simon is picking blueberries to make blueberry pies. He picks 100 blueberries from his own bushes and another 200 blueberries from blueberry bushes growing nearby. If each pie needs 100 blueberries, how many blueberry pies can Simon make? | Let's break down the problem:
Simon has a total of 100 (from his own bushes) + 200 (from nearby bushes) = 300 blueberries.
Each pie needs 100 blueberries, so we need to divide the total number of blueberries by the number of blueberries per pie:
300 ÷ 100 = 3
So Simon can make \boxed{3} blueberry pies. | 3 | null |
OpenMathInstruct_2_sft | Emily has $28 less than the amount she needs to buy a new phone that costs $120. If Ryan had $15 more, he would have twice the amount of money Emily has. How much money do Emily and Ryan have altogether? | Let's denote the amount of money Emily has as $E$.
We are given that Emily has $28 less than the amount she needs to buy a new phone that costs $120.
So, $E + 28 = 120$.
Thus, $E = 120 - 28 = 92$.
Ryan has $15 less than twice the amount of money Emily has.
Let's denote the amount of money Ryan has as $R$.
So, $R + 15 =... | 261 | null |
OpenMathInstruct_2_sft | Anton has three times as many cards in his collection as Heike does. Ann has six times as many cards as Heike does. If Ann has 60 cards, how many more cards does Ann have more than Anton? | Let's break this down step by step.
We know that Ann has 60 cards and that she has six times as many cards as Heike does.
So Heike has 60 / 6 = 10 cards.
We also know that Anton has three times as many cards as Heike does.
So Anton has 3 * 10 = 30 cards.
Now, we can calculate how many more cards Ann has than Anton... | 30 | null |
OpenMathInstruct_2_sft | Maya walks 2 miles to and from her dance classes every week, 3 times a week. Calculate the total distance she walks in a 20-week semester to and from her dance classes. | To calculate the total distance walked by Maya in a 20-week semester, we need to first calculate the distance walked per week.
Maya walks 2 miles to and from her dance classes, which is a total of 2 + 2 = 4 miles per class.
Since she attends dance classes 3 times a week, she walks a total of 4 * 3 = 12 miles per week.... | 240 | null |
OpenMathInstruct_2_sft | Alex is purchasing birthday gifts for his relatives. He spent $25 on each of his 4 cousins, and the rest of his spending was for his grandparents. If Alex spent a total of $200 on birthday gifts and each of his grandparents received gifts of equal value, how much money, in dollars, did he spend on each grandparent's gi... | Let's break this problem down step by step.
Alex spent $25 on each of his 4 cousins, for a total of $25 x 4 = $100.
He spent a total of $200 on birthday gifts, and $100 of that was for his cousins. So, the rest of his spending, which was for his grandparents, was $200 - $100 = $100.
We know that Alex spent an equal ... | 50 | null |
OpenMathInstruct_2_sft | If the number of bicycles in the city was initially one-third the number of cars before thirty new bicycles were sold, and now there are as many bicycles as cars, how many cars were in the city originally, if there are 45 cars now? | Let's break this down step by step.
Let the original number of cars be x.
Since the number of bicycles was initially one-third the number of cars, the original number of bicycles was x/3.
After 30 new bicycles were sold, the number of bicycles became x/3 + 30.
Now, there are as many bicycles as cars, which means x/... | 45 | null |
OpenMathInstruct_2_sft | Emily collected 3 dozen pebbles by the river. Her friend Olivia found three times as many pebbles as Emily and put them in her bag. Alex took one-quarter of the pebbles that Olivia found. How many pebbles did Alex have? | Let's break down the problem step by step.
Emily collected 3 dozen pebbles, which is 3 * 12 = 36 pebbles.
Olivia found three times as many pebbles as Emily, so she found 3 * 36 = 108 pebbles.
Alex took one-quarter of the pebbles that Olivia found. One-quarter of 108 is 108 / 4 = 27.
So Alex had \boxed{27} pebbles. | 27 | null |
OpenMathInstruct_2_sft | Emily is a veterinarian. She needs to vaccinate a group of animals. Cats take 15 minutes to vaccinate, rabbits take 5 minutes to vaccinate, and horses take 30 minutes to vaccinate due to their size and temperament. How many minutes will it take Emily to vaccinate 8 cats, 12 rabbits, and 2 horses? | To determine the total time it will take Emily to vaccinate the animals, we need to calculate the time spent on each type of animal and add them up.
Vaccinating 8 cats will take 8 * 15 = 120 minutes.
Vaccinating 12 rabbits will take 12 * 5 = 60 minutes.
Vaccinating 2 horses will take 2 * 30 = 60 minutes.
The total ti... | 240 | null |
OpenMathInstruct_2_sft | Ms. Patel commutes to her office every day by train. The train picks her up at 7:30 a.m. and takes thirty minutes to arrive at the city center station. If Ms. Patel arrives at her office at 10:30 a.m., what's the total time taken in minutes from the city center station to Ms. Patel's office? | The total commute time for Ms. Patel is from 7:30 a.m. to 10:30 a.m., which is 3 hours, i.e., 180 minutes.
Out of this total commute time, 30 minutes are spent from her pickup point to the city center station.
So the remaining time, i.e., 180 - 30 = 150 minutes, is spent from the city center station to her office.
So t... | 150 | null |
OpenMathInstruct_2_sft | Emily is planning to buy a new car in 12 months and wants to save $6,000 for the down payment. If she receives her salary twice a month, how much should she set aside from each paycheck to reach her savings goal on time? | Let's break down the problem:
Emily wants to save $6,000 in 12 months. Since she receives her salary twice a month, she has 24 pay periods (2 pay periods/month × 12 months) to reach her savings goal.
To calculate how much she should set aside from each paycheck, we can divide her savings goal by the number of pay per... | 250 | null |
OpenMathInstruct_2_sft | Sanibel Island has 38 dolphin sightings a year. Sanibel Island has 8 more than double the number of dolphin sightings as Tybee Island. How many dolphin sightings are there in Tybee Island? | Let's denote the number of dolphin sightings in Tybee Island as x.
The problem states that Sanibel Island has 8 more than double the number of dolphin sightings as Tybee Island.
So we can write the equation 38 = 2x + 8.
Solving for x we get 2x = 30, which implies x = 15.
Thus, there are \boxed{15} dolphin sightings in ... | 15 | null |
OpenMathInstruct_2_sft | A tea shop makes 8 tea infusions per hour on a weekday and 96 tea infusions in total over the weekend. If the tea shop is open 6 hours a day every single day, how many tea infusions are made in 1 week? | The tea shop makes 8 tea infusions per hour on a weekday and it is open for 6 hours.
So the tea shop makes 8 * 6 = 48 tea infusions per weekday.
In a week there are 5 weekdays.
So the tea shop makes 48 * 5 = 240 tea infusions on weekdays.
In addition to the tea infusions on weekdays, the tea shop makes 96 tea infusions... | 336 | null |
OpenMathInstruct_2_sft | Mia and Alex are starting a lawn-mowing business for the summer. They printed 900 brochures to distribute in their community. Mia handed out 150 brochures, while Alex handed out 250 brochures. How many brochures are left for them to distribute? | To find the number of brochures left, we need to subtract the number of brochures Mia and Alex handed out from the total number of brochures they printed.
Mia handed out 150 brochures, while Alex handed out 250 brochures. So together they handed out 150 + 250 = 400 brochures.
They printed 900 brochures in total.
So the... | 500 | null |
OpenMathInstruct_2_sft | Alex got frustrated with his homework and decided to take a break by riding his bike. He rode 4 miles per hour for 2 hours, then turned around and rode back home. How many miles did Alex ride in total? | Since Alex rode 4 miles per hour for 2 hours, he rode a total of $4 \times 2 = 8$ miles away from home.
Then he turned around and rode back home, which is the same distance.
So he rode another 8 miles back home.
Thus, the total distance he rode is $8 + 8 = 16$ miles.
\boxed{16} | 16 | null |
OpenMathInstruct_2_sft | A set of 9 notebooks costs $36. If each notebook would be sold separately, how much would 7 notebooks cost? | To find the cost of 7 notebooks, we need to find the cost of one notebook first.
Since a set of 9 notebooks costs $36, we can divide $36 by 9 to find the cost of one notebook.
So the cost of one notebook is $36 / 9 = 4$ dollars.
Now we can multiply the cost of one notebook by 7 to find the cost of 7 notebooks.
Thus, 7 ... | 28 | null |
OpenMathInstruct_2_sft | Jake's neighbors hire him to mow their lawn and plant some flowers. Mowing the lawn takes 1 hour and pays $15. If Jake wants to make $20/hour working for the neighbors, and planting the flowers takes 2 hours, how much should Jake charge (in total, not per hour) for planting the flowers? | To determine the amount Jake should charge for planting flowers, we should first compute how much he earns in total for 3 hours of work if he were to get $20/hr.
In 3 hours of work at $20/hr, he would earn $20 * 3 = 60$.
However, out of these 3 hours, he has already worked 1 hour for $15 to mow the lawn.
Thus the amoun... | 45 | null |
OpenMathInstruct_2_sft | Maria is the event coordinator for a music festival. Once the main entrance is full, she needs to direct attendees to enter through the secondary entrance. She must transport the attendees who entered through the secondary entrance to the main stage area using a shuttle bus. Maria can fit 8 attendees in a shuttle bus. ... | There are a total of $20 + 48 = 68$ attendees waiting at the secondary entrance.
Each shuttle bus can fit 8 attendees, so to find the number of shuttle buses needed, we divide the total number of attendees by 8.
Thus, the number of shuttle buses needed is $68 / 8 = 8.5$.
Since Maria cannot use a fraction of a shuttle b... | 9 | null |
OpenMathInstruct_2_sft | Ava is in charge of making 4 batches of chocolate chip cookies for the school bake sale. Each batch requires 120 semi-sweet chocolate chips. The store sells bags of chocolate chips that contain 90 chips per bag, and each bag costs $2.25. How much will it cost Ava to buy just enough bags of chocolate chips for 4 batches... | To find out how many bags Ava needs to buy, first we need to compute the total number of chocolate chips she needs.
Since she needs to make 4 batches of cookies, and each batch needs 120 chocolate chips, the total number of chocolate chips she needs is 4*120 = 480.
Since each bag of chocolate chips contains 90 chips, s... | 13.50 | null |
OpenMathInstruct_2_sft | A popular video game sold 24 copies at the game store on Monday. On Tuesday, the game sold twice as many copies as it did on Monday. On Wednesday, the game sold one-third the number of copies it did on Tuesday. How many copies of the game did the store sell by Wednesday? | Let's denote by $x$ the number of copies the game sold on Monday.
According to the problem, $x = 24$.
The game sold twice as many copies on Tuesday as it did on Monday. This means it sold $2 * x = 2 * 24 = 48$ copies on Tuesday.
The game sold one-third the number of copies it did on Tuesday on Wednesday. Thus, it sold ... | 88 | null |
OpenMathInstruct_2_sft | Emily is buying birthday gifts for her friends. She starts her shopping with a certain amount of money. She buys 3 books for $8 each for her classmates. She buys a vase for $12 for her teacher. Then she buys a keychain for $6 for her best friend. If she has $9 remaining after purchasing the keychain, how much money did... | To find out how much money Emily started with, let's work backwards.
Emily had $9 remaining after purchasing the keychain.
The keychain cost $6, so before buying the keychain, Emily had $9 + $6 = $15.
The vase cost $12, so before buying the vase, Emily had $15 + $12 = $27.
The 3 books cost $8 each, so the total cost o... | 51 | null |
OpenMathInstruct_2_sft | Maya completes 15 squats, 9 lunges, and 24 planks. What percentage of her exercises were lunges? | Let's first find the total number of exercises Maya completes.
Total number of exercises = 15 (squats) + 9 (lunges) + 24 (planks) = 48.
The number of lunges is 9.
So the percentage of exercises that were lunges is $9/48 * 100 = 0.1875 * 100 = 18.75$.
Thus, \boxed{18.75} percent of her exercises were lunges. | 18.75 | null |
OpenMathInstruct_2_sft | Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first? | Let's denote the amount of money Agatha had at first as $x$.
She spent $15 on the frame and $25 on the front wheel. Thus she spent a total of $15 + 25 = 40$.
After spending $40, she has $20 left. So before spending, she had $20 + 40 = 60$.
Thus Agatha had \boxed{60} dollars at first. | 60 | null |
OpenMathInstruct_2_sft | Emily goes to the store with $80. She wants to buy 5 items: chicken, rice, carrots, eggs, and apples. She finds chicken for $10, rice for 25% off $15, carrots for $2 per bunch and buys 4 bunches, and eggs for 5% off $8. How many dollars does she have left to spend on apples? | To find out how much money Emily has left to spend on apples, we need to calculate the total amount she spends on the other items.
She buys chicken for $10.
The price of rice is 25% off $15.
25% of $15 is $15 * 25 / 100 = 375 / 100 = 3.75$.
So the price of rice is $15 - 3.75 = 11.25$.
She buys carrots for $2 per bunc... | 43.15 | null |
OpenMathInstruct_2_sft | Emily and her friends went to an amusement park on Sunday. The regular admission tickets cost $12.50 and the VIP tickets cost $7.50 more. They received a $5 discount for purchasing more than 5 tickets. How much did they spend if they bought three VIP tickets and five regular admission tickets? | The cost of three VIP tickets is $3 * (12.50 + 7.50) = 3 * 20 = 60$.
The cost of five regular admission tickets is $5 * 12.50 = 62.50$.
The total cost before discount is $60 + 62.50 = 122.50$.
The final cost after discount is $122.50 - 5 = 117.50$.
Thus, they spent \boxed{117.50} dollars on tickets. | 117.50 | null |
OpenMathInstruct_2_sft | A group of friends plan to go on a camping trip. They know that they need to bring about 0.75 pounds of food per person per day. They will have the opportunity to restock their supplies once during the trip, and the second shipment will be 30% as large as the first. If they plan to camp for 7 days, and there are 6 peop... | The group has 6 people and they will camp for 7 days.
The food needed per person per day is 0.75 pounds.
The total food needed for the whole trip is $6 * 7 * 0.75 = 42 * 0.75 = 31.5$ pounds.
Since the group will restock their supplies once, let's compute how much food they will bring in the second shipment.
The second ... | 24.23 | null |
OpenMathInstruct_2_sft | Emily purchased a bookshelf and 6 identical decorative vases for $210. The bookshelf cost $90. What was the cost of each decorative vase? | Let's denote the cost of each decorative vase by $x$.
The total cost of the 6 vases is $6*x$.
Adding the cost of the bookshelf to this we get the total purchase cost.
So $90 + 6*x = 210$.
Solving for $x$ we get $6*x = 210 - 90 = 120$.
Thus, $x = 120 / 6 = 20$.
So the cost of each decorative vase is \boxed{20} dollars. | 20 | null |
OpenMathInstruct_2_sft | Emily has been freelancing for 12 days and has earned a total of $360. If she continues to earn the same amount each day, how many more days will it take her to triple her current earnings? | To solve this, we need to determine how much Emily earns each day and then calculate how many more days it will take for her to triple her current earnings.
First, let's calculate Emily's daily earnings. Since she has earned $360 in 12 days, her daily earnings are $360 / 12 = $30 per day.
Now, Emily wants to triple h... | 24 | null |
OpenMathInstruct_2_sft | Maria had 720 pencils and gave 6 boxes of 60 pencils each to the school art club. What's three times the number of pencils she has left? | Let's calculate how many pencils Maria gave to the school art club.
Each box has 60 pencils and she gave 6 boxes.
So the number of pencils she gave away is $6 * 60 = 360$.
The number of pencils Maria has left is $720 - 360 = 360$.
Now we can compute three times the number of pencils she has left.
$3 * 360 = 1080$.
Thus... | 1080 | null |
OpenMathInstruct_2_sft | Alex has 20 chicken wings in the freezer. During the football game, he eats 3 wings. At halftime, Alex eats 4 wings, then gives 2 wings to his friend. Finally, he consumes 6 wings after the game. How many chicken wings are left? | Let's break down the problem step by step:
1. Alex starts with 20 chicken wings.
2. He eats 3 wings during the football game, so he is left with 20 - 3 = 17 wings.
3. At halftime, he eats 4 wings, so he is left with 17 - 4 = 13 wings.
4. He then gives 2 wings to his friend, so he is left with 13 - 2 = 11 wings.
5. Fin... | 5 | null |
OpenMathInstruct_2_sft | Lily operates a bakery, where she sells muffins, scones, and cookies. On Wednesday, she sold twice as many muffins as scones, and a quarter as many cookies as scones. If she sold 16 scones, what is the total number of baked goods sold on Wednesday? | Let's denote the number of muffins, scones, and cookies sold as M, S, and C respectively.
We know that S = 16.
Also, the number of muffins sold is twice the number of scones sold, so M = 2 * S = 2 * 16 = 32.
The number of cookies sold is a quarter the number of scones sold, so C = S / 4 = 16 / 4 = 4.
The total number o... | 52 | null |
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