Q: Alex has 2 cakes that are each cut into 8 slices. A fourth of the slices are given away to his friends. A third of the remaining slices are given away to his family. Alex eats 3 slices. How many slices of the cake are left?
A: There are 2 * 8 = 16 slices of cake. There are 16 / 4 = 4 slices. There are 16 - 4 = 12 slices left. There are 12 / 3 = 4 slices given away. There are 12 - 4 - 3 = 5 slices of cake left. The answer is 5.
Question: Peyton has 3 children and they each get a juice box in their lunch, 5 days a week. The school year is 25 weeks long. How many juices boxes will she need for the entire school year for all of her children?
Answer: Each of the 3 children gets 1 juice box, 5 days a week, so she needs 3 * 5 = 15 juice boxes in 1 week. The school year is 25 weeks long and she needs 15 juice boxes per week so she needs 25 * 15 = 375 juice boxes. The answer is 375.
[Question]Calvin and Paislee played a pool game where points were awarded for winning a round. If Calvin had scored 500 points and Paislee 3/4 times as many points as Calvin, how many points was Paislee required to achieve to have a chance of tying the game?
[Answer]If Calvin had scored 500 points and Paislee 3 / 4 times as many points as Calvin, Paislee had scored 3 / 4 * 500 = 375 points. To have a chance of tying the game, Paislee had to score 500 - 375 = 125 points. The answer is 125.
Q: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
A: Natalia sold 48 / 2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. The answer is 72.
Question: 3/5 of the mangoes on a mango tree are ripe. If Lindsay eats 60% of the ripe mangoes, calculate the number of ripe mangoes remaining if there were 400 mangoes on the tree to start with.
Answer: The number of ripe mangoes from the tree is 3 / 5 * 400 = 240. If Lindsay eats 60% of the ripe mangoes, she eats 60 / 100 * 240 = 144 mangoes. The total number of ripe mangoes remaining is 240 - 144 = 96. The answer is 96.
Q: There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals?
A:
First find the number of students who went through breakups: 1 / 4 * 180 = 45 students. Then subtract that number from the total number: 180 students - 45 students = 135 students. Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = 45 students. Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = 70 students. The answer is 70.