Q: James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks?
A: He sold each DVD for 6 * 2.5 = $15. So he makes a profit of 15 - 6 = $9. So each day he makes a profit of 9 * 500 = $4500. So he makes 4500 * 5 = $22,500. He makes 22,500 * 20 = $450,000. Then after the cost of creating the movie he has a profit of 450,000 - 2000 = $448,000. The answer is 448000.
Question: There were 180 apples in each crate. 12 such crates of apples were delivered to a factory. 160 apples were rotten and had to be thrown away. The remaining apples were packed into boxes of 20 apples each. How many boxes of apples were there?
Answer: The total number of apples delivered was: 180 apples x 12 crates = 2160 apples. So, the number of remaining apples after throwing away the rotten ones was: 2160 apples – 160 apples = 2000 apples. And now, we can find the total number of boxes of apples by dividing the remaining number of apples by the number of apples per box: 2000 apples / 20 apples / box = 100 boxes of apples. The answer is 100.
[Question]Sabrina went to the library and found a historical series novel called The Rangers Apprentice. There are 14 books in the series, and each book has 200 pages. She read four books in a month and half the number of books remaining in the second month. What's the total number of pages Sabrina has to read to finish the whole series?
[Answer]The total number of pages in the series is 14 books * 200 pages / book = 2800 pages. Sabrina read 4 books * 200 pages / book = 800 pages in the first month. She still has 14 books - 4 books = 10 books after reading four books. In the second month, she read 1 / 2 * 10 books = 5 books. The total number of pages she read is 5 books * 200 pages / book = 1000 in the second month. In total, Sabrina 1000 pages + 800 pages = 1800 pages in two months. Sabrina has to read 2800 pages - 1800 pages = 1000 more pages to complete the total series. The answer is 1000.
Q: A farmer has three trucks to carry water to his farm. Each truck uses three tanks with a capacity of 150 liters of water. How many liters of water in total can the farmer carry in his trucks?
A: 1 truck uses 3 tanks of 150 liters, so a truck can carry 3 tanks per truck * 150 liters = 450 liters per truck. The total amount of water the 3 trucks carry is 3 trucks * 450 liters per truck = 1350 liters. The answer is 1350.
Question: Jake is watching a new show, and is worried about how much time he has spent watching it. He spent half the day on Monday watching his show, 4 hours on Tuesday watching his show, a quarter of the day on Wednesday watching his show, and he spent half as much time watching the show on Thursday as he had done in total throughout the previous few days. On Friday, he finally finished watching it. If the entire show is 52 hours long, how many hours did Jake watch on Friday?
Answer: On Monday, Jake watched 24 hours / 2 = 12 hours. On Wednesday, he watched 24 hours / 4 = 6 hours. So from Monday to Wednesday, he watched a total of 12 Monday hours + 4 Tuesday hours + 6 Wednesday hours = 22 hours. He watched half of this on Thursday, which is 22 hours / 2 = 11 hours. So from Monday to Thursday, he watched 22 + 11 = 33 hours. To finish the show on Friday, he must have therefore watched 52 – 33 = 19 hours. The answer is 19.
Q: Rodney and Todd are rowing down a river that is 50 yards wide at one end. If the river's width increases from this end uniformly by 2 yards every 10 meters along, and they row along the river at a rate of 5 m/s, how long (in seconds) will it take them to get to the point where the river is 80 yards wide?
A:
The difference in width between where they're starting from and their destination is 80 - 50 = 30 yards. The width increases 2 yards every 10 m along the river so they would have to cover (30 / 2) * 10 = 150 meters. Traveling at the rate of 5m / s, he will spend 150 / 5 = 30 seconds. The answer is 30.