[Question]Jenna is hemming her prom dress. The dress's hem is 3 feet long. Each stitch Jenna makes is 1/4 inch long. If Jenna makes 24 stitches per minute, how many minutes does it take Jenna to hem her dress?
[Answer]First find how many inches the hem is by multiplying the length in feet by the number of inches per foot: 3 feet * 12 inches / foot = 36 inches. Then divide the length in inches by the length of each stitch to find how many stitches Jenna makes: 36 inches / .25 inches = 144 stitches. Then divide the number of stitches by Jenna's stitching rate to find how long it takes her: 144 stitches / 24 stitches / minute = 6 minutes. The answer is 6.
Q: A pencil costs $0.5 each and a folder costs $0.9 each. An office needs two dozen pencils and 20 pieces of folders. How much does it cost to buy the office supplies?
A: Two dozens of pencils are equal to 2 x 12 = 24 pencils. So the total cost of pencils is $0.5 x 24 = $12. The total cost of folders is $0.9 x 20 = $18. Thus, the cost to buy the office supplies is $12 + $18 = $30. The answer is 30.
Question: James runs a TV show and there are 5 main characters and 4 minor characters. He pays the minor characters $15,000 each episode. He paid the major characters three times as much. How much does he pay per episode?
Answer: He pays the minor characters 15000 * 4 = $60,000. The major characters each get 15000 * 3 = $45,000. So he pays the main characters 45,000 * 5 = $225,000. So in total he pays 225,000 + 60,000 = $285,000. The answer is 285000.
[Question]Ali, Peter, and Joey were fishing. The fish Ali caught weighed, in sum, twice as much as the fish that Peter caught. Joey caught 1 kg more fish than Peter. Together the three of them caught 25 kg of fish. How many kilograms did Ali catch?
[Answer]Let x be the weight of the fish that Peter caught. Then Ali and Joey caught 2 * x and x + 1 kg of fish, respectively. So, x + 2 * x + x + 1 = 25. So, 4 * x = 25 - 1 = 24. So, x = 6. Therefore, Ali caught 2 * x = 2 * 6 = 12 kg of fish. The answer is 12.
Q: An auto shop has a part that Clark needs for $80. Clark buys 7 of them and got a discount. If Clark only had to pay $439, how much was the discount?
A: Originally the car parts would be a total of 80 * 7 = 560 dollars. Clark got a discount for 560 - 439 = 121 dollars. The answer is 121.
Question: Each bird eats 12 beetles per day, each snake eats 3 birds per day, and each jaguar eats 5 snakes per day. If there are 6 jaguars in a forest, how many beetles are eaten each day?
Answer:
First find the total number of snakes eaten: 5 snakes / jaguar * 6 jaguars = 30 snakes. Then find the total number of birds eaten per day: 30 snakes * 3 birds / snake = 90 snakes. Then multiply the number of snakes by the number of beetles per snake to find the total number of beetles eaten per day: 90 snakes * 12 beetles / snake = 1080 beetles. The answer is 1080.