[Question]The distance between Arizona and New York is around 2,000 miles by plane. The distance between the 2 different US states increases by 40% if someone decides to drive instead of flying. Missouri is midway between Arizona and New York. How far away is Missouri from New York if someone decides to go by car?
[Answer]The distance between Arizona and New York is 2,000 miles by plane. The distance between Arizona and New York is 40% greater by car, which is 40% * 2,000 = 800 miles. This results in a total of 2,000 + 800 = 2,800 miles between Arizona and New York by car. If Missouri is in the middle of the way between Arizona and New York, someone would drive half of the distance to go from Missouri to New York, which is 2,800 / 2 = 1,400. The answer is 1400.
Q: James writes from 1 PM to 4 PM every night. He can write 5 pages per hour. How many weeks will it take to finish his 735-page book?
A: He writes for 4 - 1 = 3 hours per day. That means he writes 3 * 5 = 15 pages per day. So it would take him 735 / 15 = 49 days. That means it will take 49 / 7 = 7 weeks. The answer is 7.
Question: Erin counts six trolls hiding by the path in the forest, 6 less than four times that number of trolls hiding under the bridge, and half as many trolls hiding in the plains as under the bridge. How many trolls did she count in total?
Answer: First, multiply the number of forest trolls by 4: 6 trolls * 4 = 24 trolls. Then subtract 6 from that number to find the number of bridge trolls: 24 trolls - 6 trolls = 18 trolls. Then divide that number by 2 to find the number of plains trolls: 18 trolls / 2 = 9 trolls. Then add the number of trolls she saw in each location to find the total number: 6 trolls + 18 trolls + 9 trolls = 33 trolls. The answer is 33.
[Question]Jason is trying to figure out whether he can afford a new car. The car he wants costs $32,000, and he can make a down payment of $8,000. He'll have to get a loan for the rest of the amount and make 48 equal monthly payments on it. Each month, he also has to pay interest equal to 5% of that month's payment. How much will Jason's monthly payments be?
[Answer]First figure out how much the loan will be: $32,000 - $8,000 = $24,000. Then divide the loan amount by the number of payments to find the monthly payment before interest: $24,000 / 48 months = $500 / month. Then multiply the loan amount by 5% to find out how much the interest is: $500 / month * .05 = $25 / month. Then add the interest to the payment amount to find the total monthly payment: $500 / month + $25 / month = $525 / month. The answer is 525.
Q: A quarterback steps back to throw 80 times in a game. 30 percent of the time he does not get a pass thrown. Half of the times that he does not throw the ball he is sacked for a loss. How many times is the quarterback sacked for a loss in the game?
A: No pass thrown:80(.30) = 24. Sacked:24 / 2 = 12. The answer is 12.
Question: Mary goes with her 3 children to the circus. Tickets cost $2 for adults and $1 for children. Mary pays with a $20 bill. How much change will she receive?
Answer:
Mary's ticket costs $2 / ticket * 1 ticket = $2. Mary's children's tickets cost 3 tickets * $1 = $3. Together the tickets cost $2 + $3 = $5. After paying with a 20 - dollar bill, Mary will receive $20 - $5 = $15. The answer is 15.