Question: Carlos is doing his laundry. He needs to wash two loads, which takes 45 minutes per load. Then he can combine both loads and dry them, which takes 75 minutes. How long does his laundry take in total?
Answer: First multiply the number of loads by the time per load to find the washing time: 2 loads * 45 minutes / load = 90 minutes. Then add that time to the drying time to find the total laundry time: 90 minutes + 75 minutes = 165 minutes. The answer is 165.
[Question]Jason is making sand art. He wants to fill a rectangular patch 6 inches by 7 inches with blue sand, and a square path 5 inches by 5 inches with red sand. If it takes 3 grams of sand to fill one square inch, how many grams of sand does Jason need?
[Answer]First find the area of the first patch: 6 inches * 7 inches = 42 inches. Then find the area of the second patch: 5 inches * 5 inches = 25 inches. Then add those two amounts to find the total area Jason needs to cover: 42 inches + 25 inches = 67 inches. Then multiply that area by the number of grams per square inch to find the total amount of sand needed: 67 inches * 3 grams / square inch = 201 grams. The answer is 201.
Q: A carton contains 12 boxes. If each box has 10 packs of cheese cookies, what's the price of a pack of cheese cookies if a dozen cartons cost $1440?
A: If 1 carton contains 12 boxes, then a dozen cartons contain 12 * 12 = 144 boxes. If 1 box has 10 packs of cookies, then 144 boxes have 144 * 10 = 1440 packs. If a dozen cartons cost $1440 and contain 1440 packs of cookies, then each pack costs 1440 / 1440 = $1. The answer is 1.
Question: The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book. If he has a 4000-page book, how many pages does he read in an hour if he takes 4 hours to move from his office to grab lunch?
Answer: If Juan takes 4 hours to move from his office to grab lunch, moving from his office and back takes 2 * 4 = 8 hours. The time Juan takes to grab his lunch from his office and back is half the time he takes to read a book, meaning he reads a book in 8 * 2 = 16 hours. If he has a 4000 - page book, he will read 4000 / 16 = 250 pages in an hour. The answer is 250.
[Question]James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill, so James will only be able to cover 3 miles per hour and will have to take an hour break halfway through. How many hours faster is the fastest hike?
[Answer]First find how long the first trail takes to hike: 20 miles / 5 miles / hour = 4 hours. Then find how long James spends hiking the second trail: 12 miles / 3 miles / hour = 4 hours. Then add the 1 hour break James has to take on the second trail: 4 hours + 1 hour = 5 hours. Then subtract the time for the first trail from the time for the second trail to find the difference: 5 hours - 4 hours = 1 hour. The answer is 1.
[Question]An entrepreneur is crowdfunding a new business effort. He has three different dollar amount levels of financial backing options and each level is ten times as high as the previous one. He needs to raise $12000 to get his business off the ground. He succeeded after getting two backers at the highest level of financial backing, three at the second level, and ten at the lowest level. How many dollars was the highest level of financial backing?
[Answer]
Let L represent the lowest level of financial backing. Thus, the second level is 10L and the highest level is 10 * 10L = 100L. The entrepreneur got 2 highest level backers, 3 second level backers, and 10 lowest level backers, so 2 * 100L + 3 * 10L + 10L = 200L + 30L + 10L = 240L = $12000. Therefore, the lowest level of financial backing was L = 12000 / 240 = $50. Thus, the highest level of financial backing was 10 * 10 * 50 = $5000. The answer is 5000.