Question: Mary was working on a research paper and already had borrowed 5 books from the library. 3 books weren't helpful so she returned those and checked out 5 more books. 3 days later, she went back to the library and returned 2 of those books and checked out 7 more books. How many books does Mary currently have checked out of the library?
Answer: Mary started with 5 books and returned 3 so she had 5 - 3 = 2 books. She had 2 books and checked out 5 more books so she had 2 + 5 = 7 books. She now has 7 books but returned 2 so she has 7 - 2 = 5 books. She had 5 books and checked out 7 more books so she has 5 + 7 = 12 books checked out. The answer is 12.
[Question]There are 30 students in the general study hall and twice as many students in the biology hall as there are in the general study hall. If the number of students in the math hall is 3/5 times as many as the combined total number of students in the general study hall and the biology hall combined, calculate the total number of students in all the halls combined.
[Answer]The number of students in the biology hall is twice the number of students in the general hall, meaning there are 2 * 30 = 60 students in the biology hall. The total number of students in the biology hall and general study hall is 60 + 30 = 90 students. If there are 3 / 5 times as many students in the maths hall as there are in the general study hall and biology hall, their number is 3 / 5 * 90 = 54 students in the maths hall. The total number of students in the three halls is 54 + 90 = 144 students. The answer is 144.
Q: Tyrah has six times as many pencils as Sarah has. Tim has eight times as many pencils as Sarah. If Tyrah has 12 pencils, how many does Tim have?
A: Sarah has 12 / 6 = 2 pencils. Tim has 8 * 2 = 16 pencils. The answer is 16.
Question: The teacher told the class that if they averaged at least 75% on their final exam, they could have a pizza party. Everyone took the exam on Monday, except for William, who was allowed to take it on Tuesday. If there are 30 people in the class, and the average before he took the test was a 74%, what score does he have to get to make sure they get to have a pizza party?
Answer: Let x be the score that William needs to achieve. Since there are 30 people in the class, there are 30 - 1 = 29 people without him. Since their average was a 74%, this means that (29 * 74 + x) / 30 > = 75. Thus, 29 * 74 + x > = 30 * 75. Thus, 29 * 74 + x > = 2250. Thus, 2146 + x > = 2250. Thus, x > = 2250 - 2146. Thus, x > = 94. The answer is 94.
[Question]Tom turned 32 years old 5 years ago. 7 years ago Jim was 5 years older than half Tom's age. How old is Jim in 2 years?
[Answer]Tom is 32 + 5 = 37 years old. So 7 years ago he was 37 - 7 = 30 years old. Half of his age was 30 / 2 = 15 years old. So 7 years ago Jim was 15 + 5 = 20. So he is now 20 + 7 = 27 years old. That means in 2 years he will be 27 + 2 = 29 years old. The answer is 29.
[Question]Bob wants to build a pyramid out of legos with 3 levels where the bottom level has 7 legos per side and each level has one less lego per side than the level below it. How many legos total will he need?
[Answer]
First find the total number of legos on the bottom layer: 7 legos * 7 legos = 49 legos. Then find the number of legos per side on the next layer: 7 legos - 1 lego = 6 legos. Then find the total number of legos on the second level: 6 legos * 6 legos = 36 legos. Then find the number of legos per side on the top level: 6 legos - 1 lego = 5 legos. Then find the total number of legos on the top level: 5 legos * 5 legos = 25 legos. Then add the number of legos on each level to find the total number of legos: 49 legos + 36 legos + 25 legos = 110 legos. The answer is 110.