Q: It’s exam season and Tristan has several exams to prepare for. On Monday, he studies for 4 hours then studies for twice this long on Tuesday. On Wednesday, Thursday, and Friday he studies for 3 hours each day. He wants to study for a total of 25 hours over the week and divides the remaining amount of study time evenly between Saturday and Sunday. How many hours does Tristan spend studying on Saturday?
A: On Tuesday, Tristan studies twice as long as he did on Monday and this amounts to 4 hours * 2 = 8 hours. So in the first 5 days of the week, he studies for a total of 4 hours Monday + 8 hours Tuesday + 3 hours Wednesday + 3 hours Thursday + 3 hours Friday = 21 hours. He therefore has 25 planned hours – 21 used hours = 4 hours left to study. As he splits his time evenly over 2 days, he spends 4 hours / 2 = 2 hours studying on Saturday. The answer is 2.
Question: Alvin is 30 years old and Simon is 5 years away from being 1/2 the age of Alvin. How old is Simon?
Answer: 1 / 2 the age of Alvin who is 30 is 30 / 2 = 15. Simon is 5 years away from being half the age of Alvin so Simon is 15 - 5 = 10 years old. The answer is 10.
[Question]Alice is planting bushes around three sides of her yard. If each side is 16 feet long, and each bush fills 4 feet, how many bushes does she need to buy?
[Answer]First find the total distance the bushes need to cover: 16 feet / side * 3 sides = 48 feet. Then divide the total distance to fill by the distance each bush fills to find the number of bushes Alice needs to buy: 48 feet / 4 feet / bush = 12 bushes. The answer is 12.
Q: Betty has 3 red beads for every 2 blue beads that she has. How many blue beads does Betty have if she has 30 red beads?
A: Betty has 30 / 3 = 10 sets of 3 red beads. So, she has 10 x 2 = 20 blue beads. The answer is 20.
Question: Tom receives a $12 allowance per month. In the first week, he spends a third of it; in the second week, he spends a quarter of what he has left. How much money does he have left to finish the month?
Answer: The first week he spends: $12 * 1 / 3 = $4. So he has $12 - $4 = $8 left. In the second week, he spends $8 x 1 / 4 = $2. So Tom has $8 - $2 = $6 left to finish the month. The answer is 6.
Q: A group of 300 athletes spent Saturday night at Ultimate Fitness Camp. The next morning, for 4 hours straight, they left the camp at a rate of 28 athletes per hour. Over the next 7 hours, a new group of athletes trickled into the camp at a rate of 15 athletes per hour. Immediately thereafter, the camp gate was shut and everyone went to bed. What is the difference in the total number of athletes in the camp over the two nights?
A:
The number that left the camp on Saturday morning was 4 * 28 = 112 athletes. This means that in the camp there remained 300 - 112 = 188 athletes. The new group trickling in on Sunday morning comprised 7 * 15 = 105 athletes. The number that slept at the camp on Sunday night is therefore 188 + 105 = 293 athletes. Since there were 300 athletes on Saturday night, the difference is 300 - 293 = 7 athletes. The answer is 7.