[Question]Billy made 49 sandwiches; Katelyn made 47 more than that. Chloe made a quarter of the amount that Katelyn made. How many sandwiches did they make in all?
[Answer]Katelyn made 49 + 47 = 96 sandwiches. Chloe made 96 / 4 = 24 sandwiches. Billy, Katelyn, and Chloe made 49 + 96 + 24 = 169 sandwiches in all. The answer is 169.
Q: There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there?
A: There were 10000 - 7000 = 3000 women and children. There were 3000 ÷ (5 + 1) = 500 women. There are 500 × 5 = 2500 children at the basketball match. The answer is 2500.
Question: 9 years from now, John will be 3 times as old as he was 11 years ago. How old is he now?
Answer: Let J represent John’s age. We have J + 9 = 3(j − 11). So, J + 9 = 3J − 33. So, 9 = 2J − 33. So, 42 = 2J. Which means that John’s age is J = 42 / 2 = 21. The answer is 21.
[Question]A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?
[Answer]From the details given, the car has traveled 5 meters at the 1st turn + 8 meters after the 2nd turn + 0 meters after the 4th turn = 13 meters around the ring. It must therefore have driven 23 total meters – 13 calculated meters = 10 meters after the 3rd turn. The answer is 10.
Q: Evan owns 40 fewer books than the number he had 2 years ago. Evan will have 60 more than five times as many books as he owns now in five years. If Evan had 200 books two years ago, calculate the total number of books he will have in five years.
A: If Evan had 200 books two years ago, he currently has 200 - 40 = 160 books. In five years, Evan will have 60 more than 160 * 5 = 800 books which is the number he has now. This means Evan will have 800 + 60 = 860 books in five years. The answer is 860.
Question: There is a rectangle that is 4 inches wide. If the rectangle's perimeter is 30 inches, what is the area of the rectangle?
Answer:
Twice the height of the rectangle is 30 inches - 2 * 4 inches = 22 inches. The rectangle's height is 22 inches / 2 = 11 inches. The area of the rectangle is 4 inches * 11 inches = 44 square inches. The answer is 44.