Question: Together Felipe and Emilio needed a combined time of 7.5 years to build their homes. Felipe finished in half the time of Emilio. How many months did it take Felipe to build his house?
Answer: Let F = the number of years Felipe needed to build his house. Emilio = 2F. 3F = 7.5 years. F = 2.5 years. 2.5 years = 30 months. It took Felipe 30 months to build his house. The answer is 30.
[Question]In 2021, Wayne is 37 years old. His brother Peter is 3 years older than him and their sister Julia is 2 years older than Peter. What year was Julia born in?
[Answer]Peter is 3 years older than Wayne who is 37 so Peter is 37 + 3 = 40 years old. Julia is 2 years older than Peter who is 40 so Julia is 2 + 40 = 42 years old. It's 2021 and Julia is 42 years old so she was born in 2021 - 42 = 1979. The answer is 1979.
Q: Sarah makes 5 times more money per hour than Connor does. If Connor earns $7.20 per hour, how much does Sarah make in an 8-hour day?
A: Sarah makes $7.2 * 5 = $36 per hour. Sarah makes $36 * 8 = $288 per day. The answer is 288.
Question: Maya loves to read books. Last week she read 5 books. Each book had 300 pages of text. This week she read twice as much. How many pages did Maya read in total?
Answer: Last week Maya read 5 * 300 = 1500 pages of text. This week she doubled the result, so she read 2 * 1500 = 3000 pages. In total Maya read 1500 + 3000 = 4500 pages of text. The answer is 4500.
[Question]A man is trying to maximize the amount of money he saves each month. In particular, he is trying to decide between two different apartments. The first apartment costs $800 per month in rent and will cost an additional $260 per month in utilities. The second apartment costs $900 per month and will cost an additional $200 per month in utilities. The first apartment is slightly further from the man's work, and the man would have to drive 31 miles per day to get to work. The second apartment is closer, and the man would only have to drive 21 miles to get to work. According to the IRS, each mile a person drives has an average cost of 58 cents. If the man must drive to work 20 days each month, what is the difference between the total monthly costs of these two apartments after factoring in utility and driving-related costs (to the nearest whole dollar)?
[Answer]The mileage cost for the first apartment will be 31 * 20 * 0.58 = $359.60. This makes the total monthly cost of the first apartment 359.60 + 800 + 260 = $1419.60. Similarly, the mileage cost for the second apartment will be 21 * 20 * 0.58 = $243.60. Thus, the total monthly cost of the second apartment is 243.60 + 900 + 200 = 1343.60. Therefore, the difference in total monthly costs is 1419.60 - 1343.60 = $76. The answer is 76.
[Question]It takes Dawn 2 hours to paint 1 watercolor painting. She was recently commissioned to paint a series of 12 paintings. Dawn will earn $3,600.00 for these 12 paintings. How much money does Dawn make per hour?
[Answer]
It takes her 2 hours to paint 1 picture and she needs to paint 12 pictures so it will take 2 * 12 = 24 hours. Dawn will make $3,6000.00 for 24 hours of work which means she makes 3600 / 24 = $150.00 per hour of work. The answer is 150.