[Question]There were 600 people in the stadium when the football game started. Before the game was over, one-fourth of the boys and one-eighth of the girls left early. How many people remained to see the end of the game if there were 240 girls at the beginning of the game?
[Answer]There were 600 - 240 = 360 boys at the beginning of the game. So, 360 x 1 / 4 = 90 boys left early. And 240 x 1 / 8 = 30 girls left early. A total of 90 + 30 = 120 people left early. Therefore, 600 - 120 = 480 people remained to see the end of the game. The answer is 480.
Q: Janet is trying to decide whether to quit her job and start freelancing. She works 40 hours a week at both jobs. She get paid $30/hour at her current job, and would get paid $40/hour as a freelancer. However, she'd have to pay an extra $25 a week in FICA taxes plus $400/month in healthcare premiums. How much more would Janet make per month as a freelancer if there are four weeks in a month?
A: First find the difference in hourly wages: $40 / hour - $30 / hour = $10 / hour. Then multiply that difference by the number of hours she works in a week to find the weekly difference: $10 / hour * 40 hours / week = $400 / week. Then multiply that amount by the number of weeks in a month to find the monthly difference in her earnings: $400 / week * 4 weeks / month = $1600 / month. Then find the total additional amount Janet pays in FICA taxes: $25 / week * 4 weeks / month = $100 / month. Then subtract Janet's extra FICA taxes and healthcare premium from the additional money she earns to find the net increase in her pay from freelancing: $1600 / month - $400 / month - $100 / month = $1100 / month. The answer is 1100.
Question: Mary is making a model sailboat. She wants to add three sails: a rectangular sail that measures 5 inches by 8 inches and two right triangular sails, one that's 3 inches long at the bottom and 4 inches tall and one that's 4 inches long at the bottom and 6 inches tall. (Remember you can find the area of a triangle by dividing the area of a square with the same height and length by 2). How many square inches of canvas does she need total?
Answer: First find the area of the square sail: 5 inches * 8 inches = 40 square inches. Then find the area of a square sail with the same height and length as the first triangular sail: 3 inches * 4 inches = 12 square inches. Then divide the area in two to find the area of the triangular sail: 12 square inches / 2 = 6 square inches. Then find the area of a square sail with the same height and length as the second triangular sail: 4 inches * 6 inches = 24 square inches. Then divide the area in two to find the area of the triangular sail: 24 square inches / 2 = 12 square inches. Then add up the areas of all the sails to find the total amount of canvas needed: 12 square inches + 6 square inches + 40 square inches = 58 square inches. The answer is 58.
[Question]Betty and Dora started making some cupcakes at the same time. Betty makes 10 cupcakes every hour and Dora makes 8 every hour. If Betty took a two-hour break, what is the difference between the number of cupcakes they made after 5 hours?
[Answer]Dora made 8 cupcakes per hour for 5 hours for a total of 8 * 5 = 40 cupcakes. Betty took a 2 - hour break so she spent 5 - 2 = 3 hours making cupcakes. Betty made 10 cupcakes per hour for 3 hours for a total of 10 * 3 = 30 cupcakes. The difference between the number of cupcakes they made is 40 - 30 = 10 cupcakes. The answer is 10.
Q: Carl types at a speed of 50 words per minute. If he types continuously for 4 hours per day, how many words can he type in 7 days?
A: The number of words that Carl can type per hour is 50 * 60 = 3000 words. The number of words that Carl can type in 4 hours is 3000 * 4 = 12000 words. The number of words that Carl can type in 7 days is 12000 * 7 = 84000 words. The answer is 84000.
Question: Ivanka wrote a book that took her 3 more months than it took Woody to write a book. Woody spent 1.5 years writing his book. How many months in total did Ivanka and Woody need to write their books?
Answer:
Woody = 1.5 years = 18 months. Ivanka = 18 + 3 = 21 months. 18 + 21 = 39 months. It took Ivanka and Woody 39 months to write their books. The answer is 39.