question stringlengths 5 1.64k | answer stringlengths 1 600 |
|---|---|
Baker made 61.5 pastries and 167.3 cakes. If he sold 108.2 cakes and 44.2 pastries, how many cakes would Baker still have? | Baker initially had 167.3 cakes. After selling 108.2 cakes, we can calculate the remaining cakes by subtracting the sold cakes from the initial amount:
Remaining cakes = Initial cakes - Sold cakes
Remaining cakes = 167.3 - 108.2
Remaining cakes = 59.1
Baker would still have 59.1 cakes. |
Allan, Jake, and Sarah went to the park. Allan brought 5 balloons and Jake brought 4 balloons. Sarah did not bring any balloons but bought 7 balloons at the park. Allan then bought 3 more balloons and gave 2 of them to Jake. How many balloons did each person have at the end? | At the beginning:
- Allan had 5 balloons.
- Jake had 4 balloons.
- Sarah had 0 balloons.
At the park:
- Sarah bought 7 balloons, so she then had 7 balloons.
- Allan bought 3 more balloons, adding to his original 5, so he then had 5 + 3 = 8 balloons.
Allan then gave 2 balloons to Jake:
- Jake received 2 balloons from ... |
Let p be the number of pages per book, d be the number of days it takes Frank to finish each book, and t be the total number of days Frank spends reading all the books. We are given the following information:
1. p = 2a (where a is an integer, and p is an even number)
2. d = 3b (where b is an integer, and d is a multip... | We have two equations:
1. n * (2a) = 2c * 3b
2. n * (3b) = t
From equation 2, we can express n in terms of t and b:
n = t / (3b)
We know that t = 2c * 3b, so we can substitute this into the equation for n:
n = (2c * 3b) / (3b)
The 3b terms cancel out:
n = 2c
Since c is an integer and n is equal to 2c, n must al... |
Mom needs to buy at least 51 white t-shirts, but now the store sells mixed bundles of t-shirts containing white, black, and grey t-shirts in different sizes (S, M, L). Each bundle contains 6 t-shirts: 2 white, 2 black, and 2 grey. How many bundles must Mom buy to ensure she has a minimum of 51 white t-shirts? | If each bundle contains 2 white t-shirts, we can divide the total number of white t-shirts needed (51) by the number of white t-shirts in each bundle (2) to find out how many bundles are needed.
51 white t-shirts ÷ 2 white t-shirts per bundle = 25.5 bundles
Since Mom can't buy half a bundle, she will need to round up... |
At the arcade, Dave had won 53 tickets. If he used 31 to buy some toys and 14 more to buy some clothes. How many more tickets did Dave use to buy toys than he did to buy clothes? | Dave used 31 tickets to buy toys and 14 tickets to buy clothes. To find out how many more tickets he used to buy toys than clothes, we subtract the number of tickets used for clothes from the number of tickets used for toys:
31 (tickets for toys) - 14 (tickets for clothes) = 17 more tickets used for toys. |
A waiter is working at a restaurant that has 6 tables. Initially, there are 14 customers in total, seated in groups of various sizes. After 5 customers from one of the groups leave, the waiter needs to calculate the new average number of customers per table. If the updated groups have sizes of 3, 1, 2, and 4, how many ... | Initially, there were 14 customers in the restaurant. After 5 customers from one of the groups leave, the number of customers remaining is 14 - 5 = 9 customers.
The updated groups have sizes of 3, 1, 2, and 4. To find out how many customers are sitting alone, we look for the group size that is equal to 1. According to... |
A waiter had 25 customers. After some left, he still had 7 customers. How many more customers left than those that stayed behind? | The waiter initially had 25 customers. After some left, he had 7 customers remaining. To find out how many customers left, we subtract the number of customers who stayed from the initial number of customers:
25 (initial customers) - 7 (customers who stayed) = 18 (customers who left)
To find out how many more customer... |
Every day for 20 days, Ryan spends 6 hours on learning English, 5 hours on learning Chinese, and 3 hours on learning Spanish. How many hours does he spend on learning English in all during these 20 days? | To find out the total number of hours Ryan spends on learning English in 20 days, we need to multiply the number of hours he spends on English each day by the number of days.
So, Ryan spends 6 hours per day on English.
6 hours/day * 20 days = 120 hours
Ryan spends a total of 120 hours on learning English during thes... |
Julia played tag with 24 kids on Monday. If she played tag with 18 more kids on Monday than on Tuesday. How many kids did she play with on Tuesday? | If Julia played tag with 18 more kids on Monday than on Tuesday, we can subtract 18 from the number of kids she played with on Monday to find out how many kids she played with on Tuesday.
Number of kids Julia played with on Monday = 24
Number of kids Julia played with on Tuesday = 24 - 18
So, Julia played tag with 24... |
Zachary did 19 push-ups in gym class today. David did 3 times more push-ups than Zachary. Next, John did 13 push-ups less than David. Robert did as many push-ups as Zachary and John combined. Michael did the difference of push-ups between John and Robert. How many push-ups did David do? | If Zachary did 19 push-ups, and David did 3 times more than Zachary, then David did:
3 times 19 = 57 push-ups.
So, David did 57 push-ups. |
Initially, there were 4 people on Bus A and 7 people on Bus B. At the next stop, 13 more people got on Bus A, while 9 people got on Bus B. How many people are on both buses now? | Initially, Bus A had 4 people and Bus B had 7 people.
After the next stop, 13 more people got on Bus A, so now Bus A has:
4 (initial) + 13 (new) = 17 people
Similarly, 9 more people got on Bus B, so now Bus B has:
7 (initial) + 9 (new) = 16 people
To find the total number of people on both buses now, we add the numb... |
Danny collects bottle caps, wrappers, and buttons. He found 22 bottle caps, 30 wrappers, and 15 buttons at the park. Now he has 50 bottle caps, 75 wrappers, and 40 buttons in his collection. How many wrappers and buttons did Danny have at first? | To find out how many wrappers and buttons Danny had at first, we need to subtract the number of wrappers and buttons he found at the park from the total number he has now.
For wrappers:
He has 75 wrappers now and found 30 at the park.
75 wrappers (now) - 30 wrappers (found) = 45 wrappers (at first)
For buttons:
He ha... |
Dave had 50 apps on his phone. After removing 10 apps, he added some more, eventually ending up with 100 apps on his phone. How many apps did he add? | Dave started with 50 apps and removed 10, leaving him with 40 apps. He eventually ended up with 100 apps. To find out how many apps he added, we subtract the number of apps he had after removing some from the final number of apps:
100 apps (final) - 40 apps (after removal) = 60 apps added.
So, Dave added 60 apps to ... |
Melissa played 5 games and scored different points in each game. She scored 12 points in the first game, 17 points in the second game, twice as many points in the third game as she did in the second game, 9 points in the fourth game, and the fifth game had her scoring 3 more points than the fourth game. How many points... | Let's calculate the points Melissa scored in each game:
1st game: 12 points
2nd game: 17 points
3rd game: Twice as many points as the second game, so 2 * 17 = 34 points
4th game: 9 points
5th game: 3 more points than the fourth game, so 9 + 3 = 12 points
Now, let's add up all the points to find the total:
12 (1st ga... |
Before starting to go jogging every day, Jessie weighed 69 kilograms. She lost 35 kilograms through jogging and additionally lost 10 kilograms by incorporating a new diet plan and gained 5 kilograms through a strength training program. What is Jessie's current weight considering all the changes? | Jessie's initial weight was 69 kilograms.
She lost 35 kilograms through jogging, so her weight after jogging would be:
69 kg - 35 kg = 34 kg
Then, she lost an additional 10 kilograms through her diet plan, so her weight after the diet plan would be:
34 kg - 10 kg = 24 kg
Finally, she gained 5 kilograms through a str... |
Bobby ate 28 pieces of candy. Then he ate 42 more, but only ate 3/4 of these. He also ate 63 pieces of chocolate, and decided to consume half of those as well. Considering his total consumption, how many pieces of candy and chocolate did Bobby eat? | First, let's calculate how many of the 42 pieces of candy Bobby ate. Since he ate 3/4 of them:
3/4 * 42 = 31.5 pieces of candy
Now, let's calculate how many of the 63 pieces of chocolate he ate. Since he ate half of them:
1/2 * 63 = 31.5 pieces of chocolate
Now, let's add up all the pieces of candy and chocolate Bo... |
Helen the hippo and her friends are preparing for thanksgiving at Helen's house. Helen baked 519 chocolate chip cookies, 300 raisin cookies, and 375 oatmeal cookies yesterday. The day before yesterday, she baked 280 raisin cookies, 359 chocolate chip cookies, and 425 oatmeal cookies. How many more raisin cookies did He... | Yesterday, Helen baked 300 raisin cookies, and the day before yesterday, she baked 280 raisin cookies. To find out how many more raisin cookies she baked yesterday compared to the day before yesterday, we subtract the number of raisin cookies baked the day before yesterday from the number baked yesterday:
300 raisin c... |
Nell collects baseball cards. Initially, she traded 45 cards with her friend Sam but received 30 new cards in return. Then, she bought 60 new cards from a card shop. Nell gave 301 of her cards to Jeff and now has 154 cards left. How many baseball cards did Nell have initially, before trading and buying any new cards? | Let's work backwards from the information given:
Nell has 154 cards left after giving 301 to Jeff. So before giving the cards to Jeff, she had:
154 cards (left) + 301 cards (given to Jeff) = 455 cards
Before buying 60 new cards from the card shop, she had:
455 cards (after trading with Sam) - 60 cards (bought) = 395 ... |
Baker made 62.5 cakes. Then he made 149.25 more cakes. He sold 144.75 of them. How many cakes would baker still have? | Baker initially made 62.5 cakes and then made an additional 149.25 cakes. To find out the total number of cakes he made, we add these two amounts together:
62.5 cakes + 149.25 cakes = 211.75 cakes
Next, we need to subtract the number of cakes he sold from the total number of cakes he made to find out how many cakes h... |
There are 25 different movies and 36 different books in the "crazy silly school" series. If you read 17 of the books and watched 13 of the movies. How many more books than movies are there in the "crazy silly school" series? | To find out how many more books than movies there are in the "crazy silly school" series, we need to subtract the total number of movies from the total number of books.
Total number of books: 36
Total number of movies: 25
Now, subtract the number of movies from the number of books:
36 (books) - 25 (movies) = 11
The... |
Being his favorite, he saved checking on the fruit orchard for his last stop. He was told by the workers that they fill 100 drums of raspberries per day, 221 drums of grapes per day, 150 drums of apples per day, and 75 drums of oranges per day. How many drums of raspberries, grapes, apples, and oranges would be filled ... | To find out how many drums of each fruit would be filled in the given number of days, we need to multiply the number of drums filled per day by the number of days for each fruit.
For raspberries:
100 drums/day * 77 days = 7,700 drums
For grapes:
221 drums/day * 65 days = 14,365 drums
For apples:
150 drums/day * 52 d... |
Adam has 10 apples. Jackie has 2 apples. Michael has 5 apples. How many more apples does Adam have than the combined total of Jackie's and Michael's apples? | Jackie and Michael have a combined total of 2 + 5 = 7 apples.
Adam has 10 apples.
So, Adam has 10 - 7 = 3 more apples than the combined total of Jackie's and Michael's apples. |
Rachel picked 7.5 apples from her tree. Thereafter 2.3 new apples grew on the tree. Now the tree has 6.2 apples still on it. How many apples did the tree have to begin with? | To find out how many apples the tree had to begin with, we need to add the apples Rachel picked and the apples that are still on the tree, and then subtract the apples that grew after Rachel picked some.
So, the tree originally had:
Apples Rachel picked + Apples still on the tree - Apples that grew after = Original nu... |
John is building a rectangular house with 4 walls of varying lengths. He needs to use 6 nails to secure each large plank of wood to a wall. The first wall requires 96 nails, the second wall requires 120 nails, the third wall needs 84 nails, and the fourth wall needs 102 nails. How many planks does John need for each wa... | To find out how many planks John needs for each wall, we need to divide the number of nails required for each wall by the number of nails used per plank.
For the first wall:
96 nails / 6 nails per plank = 16 planks
For the second wall:
120 nails / 6 nails per plank = 20 planks
For the third wall:
84 nails / 6 nails ... |
Baker made 105 cakes and 275 pastries. If he sold 214 pastries and 163 cakes. How many more pastries than cakes did baker sell? | Baker sold 214 pastries and 163 cakes.
To find out how many more pastries than cakes he sold, we subtract the number of cakes sold from the number of pastries sold:
214 pastries - 163 cakes = 51 more pastries than cakes sold. |
Marco, his dad, his mom, and his sister all went strawberry picking. Marco's strawberries weighed 8 pounds, his dad's weighed 32 pounds, his mom's weighed 22 pounds, and his sister's weighed 14 pounds. How much did their strawberries weigh altogether? | To find the total weight of the strawberries they picked, you add the weight of the strawberries each person picked:
Marco's strawberries: 8 pounds
Dad's strawberries: 32 pounds
Mom's strawberries: 22 pounds
Sister's strawberries: 14 pounds
Total weight = 8 + 32 + 22 + 14 = 76 pounds
Altogether, their strawberries w... |
Paul got a box of 253 crayons for his birthday. By the end of the school year, he had either lost or given away 35.5% of them. How many crayons did he have left by the end of the school year? | To find out how many crayons Paul had left, we first need to calculate how many crayons he lost or gave away.
35.5% of 253 crayons is calculated as follows:
(35.5/100) * 253 = 0.355 * 253 = 89.815
Since you can't have a fraction of a crayon, we'll round this to the nearest whole number. Paul lost or gave away approx... |
Carol was sending out birthday invitations to 20 friends. She decided to send some invitations online and others by mail. She bought 4 packs of mailed invitations, each with the same number of invitations, for a total of 2/5 of her friends. How many invitations are in each pack of mailed invitations? | Let's denote the number of invitations in each pack as x.
Carol bought 4 packs, so the total number of mailed invitations is 4x.
She is sending these mailed invitations to 2/5 of her friends, and she has 20 friends in total.
So, 2/5 of her friends is (2/5) * 20 = 8 friends.
Therefore, 4x = 8, because she is sending... |
Emily is making bead necklaces for her 75 friends. She already made 35 necklaces and each necklace takes 4 beads. She also gave away 12 completed necklaces. How many beads has Emily used so far? | Emily made 35 necklaces and each necklace takes 4 beads. So, the total number of beads used for the 35 necklaces is:
35 necklaces * 4 beads/necklace = 140 beads
However, she gave away 12 completed necklaces. The number of beads used for the 12 necklaces she gave away is:
12 necklaces * 4 beads/necklace = 48 beads
T... |
Melissa scored 152 points in each game. She also got 95 bonus points in each game. How many points did she score in 93 games? | To find the total points Melissa scored in 93 games, we need to calculate the points she scored in each game and then multiply that by the number of games.
Points scored in each game = points from scoring + bonus points
Points scored in each game = 152 + 95
Points scored in each game = 247
Now, we multiply the points... |
Jake has 18 fewer peaches than Steven, who has 13 more peaches than Jill. Steven has 19 peaches. Sam has twice as many peaches as Jill. How many peaches does Jill have? | Steven has 19 peaches. Since Steven has 13 more peaches than Jill, we can find out how many peaches Jill has by subtracting 13 from the number of peaches Steven has.
Jill's peaches = Steven's peaches - 13
Jill's peaches = 19 - 13
Jill's peaches = 6
Jill has 6 peaches. |
Kelly gives away 250 nintendo games. How many did she have initially if she still has 300 games left? | If Kelly still has 300 games left after giving away 250 games, then the total number of games she had initially can be calculated by adding the number of games she gave away to the number of games she has left.
Initial number of games = Number of games given away + Number of games left
Initial number of games = 250 + ... |
Carol needs to send out birthday invitations to 25 friends and family members. If each package of invitations she buys contains 3 invitations, how many packages does she need to buy to ensure that no one is left out? | To find out how many packages Carol needs to buy, we divide the total number of invitations she needs by the number of invitations in each package.
Total number of invitations needed: 25
Number of invitations per package: 3
Packages needed: 25 ÷ 3 = 8.33
Since Carol can't buy a fraction of a package, she needs to ro... |
Dave had 15 apps and 24 files on his phone. He decided to delete 2/5 of his apps and 75% of his files. After downloading 12 more apps, how many more apps than files does he have left on the phone? | Dave initially had 15 apps. He deleted 2/5 of them, which is:
2/5 * 15 = 6 apps
So, he has 15 - 6 = 9 apps left after the deletion.
He then downloaded 12 more apps, so now he has:
9 + 12 = 21 apps
Dave initially had 24 files. He deleted 75% of them, which is:
75/100 * 24 = 18 files
So, he has 24 - 18 = 6 files left... |
Faye was placing 75 pencils into rows with 8 pencils in each row. How many rows could she make? | To find out how many rows Faye could make with 75 pencils, placing 8 pencils in each row, we divide the total number of pencils by the number of pencils per row.
75 ÷ 8 = 9 with a remainder of 3.
This means Faye could make 9 full rows of 8 pencils, and there would be 3 pencils left over that wouldn't complete a full ... |
Sofia asked the students to suggest specific types of food for their school's menu. In response, she received varied suggestions. 297 students suggested adding sushi to the menu. 144 students suggested including mashed potatoes, 467 students were in favor of adding bacon, and 79 students put forward tomatoes. Find the ... | To find the ratio of the number of students who suggested sushi, mashed potatoes, bacon, and tomatoes, we simply list the numbers in the order given, separated by colons.
The number of students who suggested sushi: 297
The number of students who suggested mashed potatoes: 144
The number of students who suggested bacon... |
There are 12 different movies and 21 different books in the 'crazy silly school' series. If you read 7 of the books and watched 6 movies. How many more movies do you still have to watch? | If there are 12 different movies in the "crazy silly school" series and you have already watched 6 of them, then you still have to watch:
12 (total movies) - 6 (watched movies) = 6 movies
So, you still have to watch 6 more movies. |
John is planning to build the walls of his house using 27 large planks of wood. If each plank requires 36 pieces of nails to be secured, and in addition to that, 15 nails are needed for some smaller planks, how many nails does John need in total for the house walls? | First, calculate the total number of nails needed for the large planks of wood. Since each large plank requires 36 nails, for 27 planks, the total number of nails needed is:
27 planks * 36 nails/plank = 972 nails
Next, add the additional 15 nails needed for the smaller planks:
972 nails + 15 nails = 987 nails
There... |
Matthew gave 6.5 crackers to each his friends. If he initially had 36 crackers, how many friends did he give crackers to? | To find out how many friends Matthew gave crackers to, we need to divide the total number of crackers he had by the number of crackers he gave to each friend.
Total crackers = 36
Crackers per friend = 6.5
Number of friends = Total crackers / Crackers per friend
Number of friends = 36 / 6.5
Number of friends = 5.53846... |
An industrial machine made 9 shirts yesterday and 44 shirts today. The machine worked at different production rates on both days. Yesterday, it made 1 shirt every 2 minutes, while today it made 1 shirt every minute. Additionally, the machine had a 20-minute downtime period yesterday and a 30-minute downtime period toda... | Yesterday, the machine made 9 shirts at a rate of 1 shirt every 2 minutes. Therefore, the time taken to make the shirts (excluding downtime) would be:
9 shirts * 2 minutes/shirt = 18 minutes
Including the 20-minute downtime period, the total time the machine worked yesterday would be:
18 minutes (production time) + ... |
Katie had 81 DS games, while her three friends had different numbers of games. Friend A had 59 games, Friend B had 47 games, and Friend C had 63 games. Calculate the total difference between Katie's games and the combined total of her friends' games. | First, let's find the combined total of games that Katie's friends have:
Friend A: 59 games
Friend B: 47 games
Friend C: 63 games
Combined total of friends' games = 59 + 47 + 63 = 169 games
Now, let's calculate the difference between Katie's games and the combined total of her friends' games:
Katie's games: 81 game... |
There are 25 different books and 35 different movies in the 'Crazy Silly School' series. If you read 15 of the books and watched 29 of the movies. How many more movies than books have you watched? | You have watched 29 movies and read 15 books.
To find out how many more movies than books you have watched, subtract the number of books from the number of movies:
29 movies - 15 books = 14 more movies than books. |
In a school, there are 402 more girls than boys. If there are 739 girls and 127 teachers in the school, what is the total number of students in the school? | If there are 739 girls in the school and there are 402 more girls than boys, we can find the number of boys by subtracting 402 from the number of girls.
Number of boys = Number of girls - 402
Number of boys = 739 - 402
Number of boys = 337
Now, to find the total number of students, we add the number of girls and the ... |
Allan brought 6 balloons and Jake brought 2 balloons to the park. Jake then bought 3 more balloons at the park, while Allan bought 4 more. Claire, who had no balloons initially, received 2 balloons from Jake and 3 from Allan. How many more balloons did Allan have than Jake after giving some to Claire? | Allan initially had 6 balloons and bought 4 more at the park, so he had a total of 6 + 4 = 10 balloons.
Jake initially had 2 balloons and bought 3 more at the park, so he had a total of 2 + 3 = 5 balloons.
Claire received 2 balloons from Jake, so Jake had 5 - 2 = 3 balloons left.
Claire received 3 balloons from Alla... |
He then went to see the oranges being harvested. He found out that they harvest 150 sacks per day and discard 135 of them. How many sacks of oranges will they have after 95 days of harvest? | If they harvest 150 sacks per day and discard 135 of them, it means they keep 150 - 135 = 15 sacks per day.
After 95 days of harvest, they will have 15 sacks per day * 95 days = 1425 sacks of oranges. |
After a powerful typhoon, 24 trees in Haley's backyard died. If she had grown 150 trees initially. How many trees does she have left? | Haley initially had 150 trees. After the typhoon, 24 trees died. To find out how many trees she has left, we subtract the number of trees that died from the initial number of trees:
150 trees (initially) - 24 trees (died) = 126 trees (left)
So, Haley has 126 trees left in her backyard. |
The Razorback t-shirt shop sells various types of merchandise including t-shirts, hats, and scarves. Each t-shirt is sold for $98, each hat for $45, and each scarf for $60. During the Arkansas game and the Texas tech game, they sold a total of 163 items. During the Arkansas game, they sold 89 items including 42 t-shirt... | To calculate the total money made from selling the merchandise during the Arkansas game, we need to multiply the number of each item sold by its respective price and then sum up the totals.
For t-shirts:
42 t-shirts * $98 per t-shirt = $4116
For hats:
32 hats * $45 per hat = $1440
For scarves:
15 scarves * $60 per s... |
There are 50 different books in the 'Crazy Silly School' series. If you are yet to read 17 of the books, how many books have you already read? | If there are 50 books in total and you haven't read 17 of them, then you have read:
50 books (total) - 17 books (unread) = 33 books (read)
So, you have already read 33 books from the 'Crazy Silly School' series. |
Tiffany was collecting cans for recycling. On Monday, she had 7 bags of cans. The next day, she found 12 more bags worth of cans and decided to give 4 bags to her friend. Calculate the difference in the number of bags she had on Tuesday compared to Monday, after giving away the 4 bags. | On Monday, Tiffany had 7 bags of cans.
On Tuesday, she found 12 more bags, so she had 7 + 12 = 19 bags.
After giving away 4 bags to her friend, she had 19 - 4 = 15 bags left.
The difference in the number of bags she had on Tuesday compared to Monday, after giving away the 4 bags, is 15 - 7 = 8 bags. |
Julia played tag with some kids from Monday to Friday. She played tag with 14 kids on Tuesday and 22 kids on Wednesday. If she played with a total of 75 kids over the five days, how many kids did she play with on Monday, Thursday, and Friday combined? | Julia played with 14 kids on Tuesday and 22 kids on Wednesday, which is a total of:
14 (Tuesday) + 22 (Wednesday) = 36 kids
She played with a total of 75 kids over the five days. To find out how many kids she played with on Monday, Thursday, and Friday combined, we subtract the number of kids she played with on Tuesd... |
Robin's hair was 17 inches long. He decided to cut off a certain percentage of his hair. If his hair is now 13 inches long, what percentage of his hair did he cut off? | To find out the percentage of hair Robin cut off, we first need to determine the length of hair he cut off. We can do this by subtracting the new hair length from the original hair length:
17 inches (original length) - 13 inches (new length) = 4 inches (length cut off)
Now, to find the percentage that 4 inches repres... |
Frank had some pieces of candy. If he put them into 37 bags with 46 pieces in each bag and had 5 candies left that couldn't fit into the bags, how many pieces of candy did he have? | Frank put 46 pieces of candy into each of the 37 bags. To find the total number of candies in the bags, we multiply the number of bags by the number of candies per bag:
37 bags * 46 pieces per bag = 1702 pieces
He also had 5 pieces of candy left over that couldn't fit into the bags. So, we add those to the total:
17... |
Winter is almost here and most animals are migrating to warmer countries. 472 bird families flew away for the winter from near a mountain. If there were 709 bird families living near the mountain initially. How many bird families were left near the mountain? | If there were initially 709 bird families living near the mountain and 472 bird families flew away for the winter, then the number of bird families left near the mountain would be:
709 (initial number of bird families) - 472 (number of bird families that flew away) = 237 bird families left near the mountain. |
Frank put some pieces of candy equally into 4 bags. He then took out 2.5 pieces of candy from each bag and gave it to his friends. If he had started with 80 pieces of candy, how many pieces of candy are left in each bag now? | Frank started with 80 pieces of candy and divided them equally into 4 bags.
To find out how many pieces of candy were in each bag initially, we divide the total number of candies by the number of bags:
80 pieces / 4 bags = 20 pieces per bag
Frank then took out 2.5 pieces of candy from each bag to give to his friends... |
Baker made 475 cakes and 539 pastries. If he sold 358 cakes and 297 pastries, how many more cakes than pastries did Baker sell? | Baker sold 358 cakes and 297 pastries.
To find out how many more cakes than pastries he sold, we subtract the number of pastries sold from the number of cakes sold:
358 cakes - 297 pastries = 61 more cakes than pastries
So, Baker sold 61 more cakes than pastries. |
Bobby had 38 pieces of candy. He ate 7.5 pieces of candy in the morning and then decided to eat 15.25 more pieces in the afternoon. How many pieces of candy does he still have left? | Bobby started with 38 pieces of candy.
In the morning, he ate 7.5 pieces, so he had:
38 - 7.5 = 30.5 pieces left.
In the afternoon, he ate 15.25 more pieces, so he had:
30.5 - 15.25 = 15.25 pieces left.
Therefore, Bobby has 15.25 pieces of candy left. |
Paco had 72 sweet cookies, 48 salty cookies, and 30 spicy cookies. After sharing some with his friends, he ate 120 sweet cookies, 76 salty cookies, and 50 spicy cookies. How many more salty cookies than sweet cookies did he eat? | It seems there is a mistake in the information provided. Paco cannot eat more cookies than he had initially.
According to the information given, Paco had 72 sweet cookies, 48 salty cookies, and 30 spicy cookies. However, it is stated that he ate 120 sweet cookies, 76 salty cookies, and 50 spicy cookies, which is not ... |
Paul had 42 pens, 143 books, and 75 pencils. After selling some items in a garage sale, he had 113 books, 19 pens, and 52 pencils left. How many pens, books, and pencils did he sell in the garage sale? | To find out how many of each item Paul sold, we need to subtract the number of items he has left from the number he started with.
For pens:
He started with 42 pens and had 19 left after the sale.
42 pens - 19 pens = 23 pens sold
For books:
He started with 143 books and had 113 left after the sale.
143 books - 113 boo... |
For the walls of the house John would use 42 large planks of wood. Each plank needs 4 pieces of nails to be secured. How many nails does John need for the house wall? | If each large plank of wood requires 4 nails to be secured, and John is using 42 large planks of wood, then the total number of nails needed would be:
42 planks * 4 nails per plank = 168 nails
John would need 168 nails for the house wall. |
Allan and Jake brought a total of 56 balloons to the park. Allan brought 8 more balloons than the number of balloons Jake brought. How many balloons did Jake bring to the park? | Let's denote the number of balloons Jake brought as J. According to the information, Allan brought 8 more balloons than Jake, so Allan brought J + 8 balloons.
Together, they brought a total of 56 balloons. So we can write the equation:
J (Jake's balloons) + (J + 8) (Allan's balloons) = 56
Combining like terms, we ge... |
Let x be the first number and y be the second number. If 0.5 of the first number is twice the sum of 0.25 of the first number and the second number, find both numbers. | Let's set up the equation based on the information given:
0.5x = 2 * (0.25x + y)
Now, let's solve for y in terms of x:
0.5x = 2 * (0.25x + y)
0.5x = 0.5x + 2y
0.5x - 0.5x = 2y
0 = 2y
This implies that y = 0.
Now, since y is 0, we can plug this back into the original equation to find x:
0.5x = 2 * (0.25x + 0)
0.5x... |
The sum of 38 and twice a number raised to the power of 3 is equal to 1250. Find the number. | Let's denote the unknown number as x. According to the problem, we have the following equation:
38 + 2x^3 = 1250
First, we need to isolate the term with x on one side of the equation. To do this, we subtract 38 from both sides:
2x^3 = 1250 - 38
2x^3 = 1212
Next, we divide both sides by 2 to solve for x^3:
x^3 = 12... |
Let the height of the tallest player be T, the height of the shortest player be S, and the height of two other players be P and Q respectively. It is given that T is 77.75 inches tall and is 9.5 inches taller than S. Also, P is 5 inches taller than S, and Q is 3 inches shorter than P. We need to find the height of the ... | To find the height of the shortest player (S), we can use the given equations. We know that T is 9.5 inches taller than S, so we can set up the equation:
T = S + 9.5
We also know that T is 77.75 inches tall, so we can substitute T with 77.75 in the equation:
77.75 = S + 9.5
Now, we can solve for S by subtracting 9.... |
Let x be the first number and y be the second number. The problems can be defined by the following system of equations:
1) 2x = 3x - 25
2) x + y = 50
Find the values of x and y. | To find the values of x and y, we need to solve the system of equations. Let's start with the first equation:
1) 2x = 3x - 25
We can solve for x by subtracting 3x from both sides of the equation:
2x - 3x = -25
This simplifies to:
-x = -25
Now, we can multiply both sides by -1 to solve for x:
x = 25
Now that we ... |
Two numbers have a ratio of 3:5. Their sum is 36.8. Find the two numbers. | Let's denote the two numbers as 3x and 5x, where x is a common factor. According to the ratio, for every 3 parts of the first number, the second number has 5 parts.
The sum of the two numbers is given as 36.8. So we can write the equation:
3x + 5x = 36.8
Combining like terms, we get:
8x = 36.8
Now, we can solve fo... |
Let x and y be two unknown numbers such that the difference between 3 times x and 1 is the same as twice y. Additionally, the product of x and y equals y squared minus 2. Write a system of equations to find the values of x and y. | Let's translate the given information into mathematical equations.
1. The difference between 3 times x and 1 is the same as twice y:
3x - 1 = 2y
2. The product of x and y equals y squared minus 2:
xy = y^2 - 2
Now we have a system of two equations with two unknowns:
1) 3x - 1 = 2y
2) xy = y^2 - 2
This system can b... |
If 120 lollipops cost 90 dollars before a 15% discount, what is the cost of 1 lollipop after applying the discount, in dollars? | First, let's find the cost of 120 lollipops after applying the 15% discount.
The discount amount on the original price of $90 is:
15% of $90 = 0.15 * $90 = $13.50
Now, subtract the discount amount from the original price to find the discounted price:
$90 - $13.50 = $76.50
This is the cost of 120 lollipops after the ... |
Let x be the first number and y be the second number. If 0.6667x - 0.75y is increased by 0.75z, the result is 1.6667. What are the values of x, y, and z? | We have the equation:
0.6667x - 0.75y + 0.75z = 1.6667
However, we only have one equation with three unknowns (x, y, and z). To find unique values for x, y, and z, we would need two more independent equations involving these variables. Without additional information or constraints, there are infinitely many solutions... |
Soft drinks are on sale at the grocery store for 2.99 dollars for a 12 pack, and there is a 15% discount applied when purchased in bulk as a 12 pack. How much would each can of soft drink cost if purchased individually, in dollars, before the discount is applied? | To find the cost of each can of soft drink before the discount is applied, we need to divide the total cost of the 12 pack by the number of cans in the pack.
The total cost of the 12 pack before the discount is $2.99.
Number of cans in a 12 pack = 12
Cost per can before discount = Total cost of 12 pack / Number of c... |
Consider two numbers X and Y. The sum of 0.75X and 2 is eight, and the difference between 0.5Y and 3 is four. Find the values of X and Y. | Let's solve the two equations step by step.
First, we have the equation for X:
0.75X + 2 = 8
To find X, we need to isolate it on one side of the equation. We can start by subtracting 2 from both sides:
0.75X = 8 - 2
0.75X = 6
Now, we divide both sides by 0.75 to solve for X:
X = 6 / 0.75
X = 8
Now, let's solve the ... |
A total of 600 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold? | Let's denote the number of adult tickets sold as A and the number of student tickets sold as S.
According to the problem, the number of student tickets sold was three times the number of adult tickets sold. So we can write this relationship as:
S = 3A
We also know that the total number of tickets sold was 600. So we... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.