Q: To make a yellow score mixture, Taylor has to combine white and black scores in the ratio of 7:6. If she got 78 yellow scores, what's 2/3 of the difference between the number of black and white scores she used?
A: The total ratio representing the yellow scores that Taylor got is 7 + 6 = 13. The difference in the ratio between the number of black and white scores Taylor used is 7 - 6 = 1. The fraction representing the difference in the ratio between the number of black and white scores Taylor used is 1 / 13, representing 1 / 13 * 78 = 6. 2 / 3 of the difference between the number of black and white scores Taylor used is 2 / 3 * 6 = 4. The answer is 4.
Question: Kingsley's teacher instructed her to find four friends to help her carry some chairs to the school hall to be used for an upcoming event. If each student carried 5 chairs per trip and made 10 trips in total, what's the total number of chairs taken to the hall?
Answer: Kingsley and her four friends sum up to 4 + 1 = 5 students carrying chairs. The number of chairs carried by each student after all the trips is 10 * 5 = 50. Since each student carried 50 chairs, the total number in the hall is 50 * 5 = 250. The answer is 250.
[Question]Maria's test scores are 80, 70, and 90. What score does she need to get on a fourth test so that her average score for the four tests is exactly 85?
[Answer]She needs to have a total of 4 * 85 = 340 points over the four tests. She has 80 + 70 + 90 = 240 points so far. She needs 340 - 240 = 100 on the fourth test. The answer is 100.
Q: Bill had to finish a project from work that was to take him 4 days. If he took 6 seven-hour naps in the four days, how long did he spend working on the project?
A: Since a day has 24 hours, the project was to take 24 * 4 = 96 hours. Bill took 6 seven - hour naps during the four days, a total of 6 * 7 = 42 hours. The time he spent working on the project is 96 - 42 = 54 hours. The answer is 54.
Question: John is trying to save money by buying cheap calorie-dense food. He can buy 10 burritos for $6 that have 120 calories each. He could also buy 5 burgers that are 400 calories each for $8. How many more calories per dollar does he get from the burgers?
Answer: The burritos have 10 * 120 = 1200 calories. That means he gets 1200 / 6 = 200 calories per dollar. The burgers get 5 * 400 = 2000 calories. So he gets 2000 / 8 = 250 calories per dollar. So he gets 250 - 200 = 50 more calories per dollar from the burgers. The answer is 50.
Q: Frank picked 36 apples. Susan picked 3 times as many apples as Frank. If Susan gave out half of her apples, and Frank sold a third of his, how many in total do they have left?
A:
Susan picked 3 times as much as 36 which is 3 * 36 = 108 apples. She gave out half which is 108 * (1 / 2) = 54 apples. She now has 108 - 54 = 54 apples. Frank sold a third of 36 which is 36 * (1 / 3) = 12 apples. Frank now has 36 - 12 = 24 apples. Altogether they now have 54 + 24 = 78 apples. The answer is 78.