Question: CJ, KJ, and AJ collect stamps. CJ has 5 more than twice the number of stamps that KJ has, and KJ has half as many as AJ. If the three boys have 930 stamps all together, how many stamps does AJ have?
Answer: Let x represent the number of stamps for AJ. KJ:x / 2 stamps. CJ:5 + 2(x / 2) = 5 + x. Total:x + (x / 2) + 5 + x = 930. (5 / 2)x + 5 = 930. (5 / 2)x = 925. x = 925(2 / 5) = 370 stamps. The answer is 370.
[Question]At a party, there are 400 students, a combination of poets, singers and tree huggers. There are 50 more poets than treehuggers at the party. If the number of tree huggers is 120, how many singers are at the party?
[Answer]Since there are 50 more poets than treehuggers at the party, the number of poets is 120 + 50 = 170. The number of poets and tree huggers at the party is 170 + 120 = 290. Since the number of attendees at the party also included singers, there are 400 - 290 = 110 singers. The answer is 110.
Q: Annie plants 3 pots of basil, 9 pots of rosemary, and 6 pots of thyme. Each basil plant has 4 leaves, each rosemary plant has 18 leaves, and each thyme plant has 30 leaves. How many leaves are there total?
A: First find the total number of basil leaves: 3 pots * 4 leaves / pot = 12 leaves. Then find the total number of rosemary leaves: 9 pots * 18 leaves / pot = 162 leaves. Then find the total number of thyme leaves: 6 pots * 30 leaves / pot = 180 leaves. Then add the number of each type of leaf to find the total number of leaves: 12 leaves + 162 leaves + 180 leaves = 354 leaves. The answer is 354.
Question: Mary is trying to count the animals in the petting zoo, but they kept moving around so she double-counts 7 sheep and forgets to count 3 pigs. If Mary thinks there are 60 animals, how many are there really?
Answer: First subtract the 7 double - counted animals from Mary's total: 60 animals - 7 animals = 53 animals. Then add the animals she missed to find the real total: 53 animals + 3 pigs = 56 animals. The answer is 56.
[Question]Balki is counting the number of raisins in boxes of cereal. He counted 437 total raisins in 5 boxes. In one box he counted 72 raisins. In a second box he counted 74 raisins. The other three boxes had the same number each. How many were in each of the other three boxes?
[Answer]Let x = the number of raisins in each of the other 3 boxes. Then 72 + 74 + 3x = 437 raisins. Combining like terms we get 146 + 3x = 437 raisins. Subtracting 146 from both sides we get 3x = 291 raisins. Dividing both sides by 3, we get x = 291 / 3 = 97 raisins. The answer is 97.
[Question]Ron is part of a book club that allows each member to take a turn picking a new book every week. The club is made up of three couples and five single people along with Ron and his wife. How many times a year does Ron get to pick a new book?
[Answer]
There are 3 couples in the club, so there are 3 * 2 = 6 people in couples in the club. Along with the singles and Ron and his wife, there are 6 + 5 + 2 = 13 people in the book club. There are 52 weeks in a year, so Ron gets to pick a new book 52 / 13 = 4 times a year. The answer is 4.