Question: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
Answer: Weng earns 12 / 60 = $0.2 per minute. Working 50 minutes, she earned 0.2 x 50 = $10. The answer is 10.
[Question]John builds a box. The box is 26 inches by 26 inches by 14 inches. The walls are 1 inch thick on each side. How much is the internal volume in cubic feet?
[Answer]The walls take away 2 * 1 = 2 inches from each dimension. So the longer sides are 26 - 2 = 24 inches. That is 24 / 12 = 2 feet. The smaller dimension is 14 - 2 = 12 inches. That is 12 / 12 = 1 foot. So the internal volume is 2 * 2 * 1 = 4 cubic feet. The answer is 4.
Q: Fern is checking IDs to get into an R-rated movie. She denied 20% of the 120 kids from Riverside High, 70% of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie?
A: First find how many kids from Riverside High are rejected: 20% * 120 kids = 24 kids. Then find how many kids from West Side High are rejected: 70% * 90 kids = 63 kids. Then find how many kids from Mountaintop High are rejected: 50 kids / 2 = 25 kids. Then add the number of kids from each school to find the total number of kids: 120 kids + 90 kids + 50 kids = 260 kids. Then subtract all the kids who were rejected from the total number of kids to find the number who got in: 260 kids - 24 kids - 63 kids - 25 kids = 148 kids. The answer is 148.
Question: Compared to the amount of water she drank, Carla drank three times as much soda minus 6 ounces. If she drank 54 ounces of liquid total, how much water did she drink?
Answer: Let s be the amount of soda Carla drank and w be the amount of water she drank. We know that s + w = 54 and s = 3w - 6. Substituting the second equation into the first, we get 3w - 6 + w = 54. Combining like terms, we get 4w - 6 = 54. Adding 6 to both sides, we get 4w = 60. Dividing both sides by 4, we get w = 15. The answer is 15.
[Question]In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race?
[Answer]Since time is obtained by dividing distance and speed, then Skye took 3 km / 150 km per hr. = 1 / 50 of an hour to finish the first 3 kilometers of the race. His speed on the next 2 kilometers was 150 + 50 = 200 kilometers per hour. Hence, it took him 2 km / 200 km per hr. = 1 / 100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = 300 kilometers per hour. Hence, it took him 1 / 300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1 / 50 + 1 / 100 + 1 / 300 = 1 / 30 of an hour. Therefore, his average speed for the entire race was 6 km / 1 / 30 hour = 180 kilometers per hour. The answer is 180.
[Question]Police officer A patrols 36 streets in 4 hours. His colleague, officer B, patrols 55 streets in 5 hours. How many streets will both officers patrol in one hour?
[Answer]
Officer A patrols 36 streets / 4 hours = 9 streets / hour. Officer B patrols 55 streets / 5 hours = 11 streets / hour. Together officer A and B patrol 9 streets / hour + 11 streets / hour = 20 streets / hour. The answer is 20.