[Question]Carlo has a music recital next week. He practiced twice as long on Monday as on Tuesday. On Tuesday, he practiced 10 minutes less than on Wednesday. On Wednesday, he practiced 5 minutes more than on Thursday. On Thursday, he practiced for 50 minutes. If he needs to practice for a total of 5 hours that week, how long should Carlo practice on Friday?
[Answer]On Wednesday, Carlo practiced for 50 + 5 = 55 minutes. On Tuesday, he practiced for 55 - 10 = 45 minutes. On Monday, he practiced for 45 x 2 = 90 minutes. So, Carlo practiced for a total of 90 + 45 + 55 + 50 = 240 minutes from Monday to Thursday. He needs to practice for a total of 60 x 5 = 300 minutes. Therefore, he should practice for 300 - 240 = 60 minutes on Friday. The answer is 60.
Q: Mark bought 2 pounds of tomatoes for $5 per pound and 5 pounds of apples, at $6 per pound. How much did he spend in total?
A: Mark bought 2 pounds of tomatoes for $5 / pound * 2 pounds = $10. Mark bought 5 pounds of apples for $6 / pound * 5 pounds = $30. Now add those two quantities to find Mark's total spending: $30 + $10 = $40. The answer is 40.
Question: If 8 carpenters can make 50 chairs in 10 days, how many carpenters are needed to make 75 chairs in 10 days?
Answer: The carpenters need to produce 75 / 50 = 1.5 times as many chairs in the same number of days. It will require 1.5 times as many carpenters to produce the extra chairs, so 8 * 1.5 = 12 carpenters will be required. The answer is 12.
[Question]In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every tower had two soldiers, what was the combined number of soldiers in beacon towers on the Great Wall?
[Answer]If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300 / 5 = 1460 beacon towers. If every tower had two soldiers, then there were a total of 1460 * 2 = 2920 soldiers in beacon towers along the Great Wall. The answer is 2920.
Q: Amanda has taken 4 quizzes this semester and averaged a 92% score on them. The final quiz is coming up, which is worth the same as each previous quiz. What score does she need in order to get an A in the class, which requires her to average 93% over the 5 quizzes?
A: Amanda's total number of points from the first 4 quizzes is 368 because 4 x 92 = 368. She needs a total of 465 points because 5 x 93 = 465. She needs to score a 97 on the final quiz because 465 - 368 = 97. The answer is 97.
Question: Aaron, Henry's brother, is 15 years old. Henry's sister is three times as old as Aaron. Henry is four times as old as his sister. What's the combined age of the siblings?
Answer:
If Aaron is 15 years old, and his sister is 3 times as old as him, then the sister is 3 * 15 = 45 years old. Together, Aaron and his sister have a total age of 45 + 15 = 60 years. Henry is four times as old as the sister, meaning he is 45 * 4 = 180 years old. The three siblings together have a total age of 60 + 180 = 240 years. The answer is 240.