[Question]John manages to run 15 mph for his whole 5-mile race. The next fastest guy ran the race in 23 minutes. How many minutes did he win the race by?
[Answer]He runs the race in 5 / 15 = 1 / 3 of an hour. So he runs the race in 60 / 3 = 20 minutes. That means he beat the next fastest guy by 23 - 20 = 3 minutes. The answer is 3.
Q: Bob is building a garden on his land, and he wants it to be fenced in to keep out varmints. The garden is a rectangular plot 225 feet long by 125 feet wide. He also wants to have a small 3-foot wide gate to walk through and a larger 10-foot wide gate to move his gardening equipment through. How much fencing is Bob going to need to fence in his garden, taking into account the two gates?
A: The perimeter of the garden is 2 * 225 + 2 * 125 = 450 + 250 = 700 feet. Minus the two gates, he will need at least 700 - 3 - 10 = 687 feet of fencing. The answer is 687.
Question: Tom needs to buy a new gaming system. He trades in his super Nintendo for an original NES. The SNES is worth $150 and the store gives him 80% of that value. He gives $80 and gets back $10 change and a game worth $30. How much was the NES on sale for?
Answer: He traded in the SNES for 150 * .8 = $120. Including the money he gave, he spent 120 + 80 = $200. He got 10 + 30 = $40 in change. So the NES cost 200 - 40 = $160. The answer is 160.
[Question]Lorenzo put three full cans of thumbtacks into his pocket and went off to work at the corkboard factory. It was Lorenzo's job, as head of quality control, to test every cork board for its ability to hold thumbtacks. He placed one thumbtack from each of the three cans of thumbtacks into every board tested. At the end of the day, he had tested 120 boards and had 30 tacks remaining in each of the three cans. What was the total combined number of thumbtacks from the three full cans?
[Answer]At the end of the day, he had tested 120 boards, each with three tacks, for a total of 3 * 120 = 360 tacks. He had 30 tacks remaining in each of the three cans, for an additional 3 * 30 = 90 thumbs tacks. Therefore, the original total combined number of thumbtacks in the three full cans of thumbtacks was 360 + 90 = 450 thumbtacks. The answer is 450.
Q: Lucille has to divide the revenue from her business in the ratio of 4:11 for employee salaries and stock purchases, respectively. If she has $3000 as her revenue, calculate the total amount of money she spends on employee salary?
A: The total ratio representing the revenue Lucille has is 4 + 11 = 15. The value from the ratio representing employee salary is 4 / 15, and this is 4 / 15 * $3000 = $800 that Lucille has to pay her employees. The answer is 800.
Question: The card shop has two boxes of cards. The first box contains cards that cost $1.25 each. The second box contains cards that cost $1.75 each. A boy then comes in and buys 6 cards from each box. What was the total cost, in dollars, of the cards he bought?
Answer:
The cost of one card from each box in total is 1.25 + 1.75 = 3 dollars. The total cost of cards the boy bought is 3 * 6 = 18 dollars. The answer is 18.