[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: After shearing her 200 sheep, Azalea paid the shearer who had come to help her with the work $2000 for his job. Each of the sheared sheep produced 10 pounds of wool. If Ms. Azalea sold a pound of wool at $20, how much profit did she make from the produce of her sheep farm?
A: Since there were 200 sheep, the amount of wool Azalea got after the shearing of the sheep is 200 * 10 = 2000 pounds of wool. If she sold one pound of wool at $20, the total amount of money she made from the sheep farm is 2000 * $20 = $40000. Her profit, which is $2000 less the amount of money she paid to the shearer, is $40000 - $2000 = 38000. The answer is 38000.
Question: There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly used. How many are slightly used?
Answer: New:120 / 3 = 40 crayons. Broken:120(.20) = 24 crayons. Slightly Used:120 - 40 - 24 = 56 crayons. The answer is 56.
[Question]Kylie has 5 daisies. Her sister gave her another 9 daisies. Kylie then gave half her daisies to her mother. How many daisies does Kylie have left?
[Answer]Kylie had 5 + 9 = 14 daisies. She has 14 / 2 = 7 daisies left. The answer is 7.
Q: Maddie wants to see how much her mom spends on coffee each week. She makes herself 2 cups of coffee per day. Each cup has 1.5 ounces of coffee beans. A bag of coffee costs $8 and contains 10.5 ounces of beans. She uses 1/2 a gallon of milk per week. A gallon of milk costs $4. She doesn't add any sugar to the coffee. How much does she spend on her coffee per week?
A: She uses 3 ounces of beans per day because 2 x 1.5 = 3. She uses 21 ounces of beans per week because 7 x 3 = 21. She buys 2 bags of beans per week because 21 / 10.5 = 2. She spends $16 on the beans per week because 2 x 8 = 16. She spends $2 on the milk per week because 4 x (1 / 2) = 2. She spends $18 per week on her coffee because 16 + 2 = 18. The answer is 18.
Question: Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box?
Answer:
Let x be the number of plates removed from the box. Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or 320 ounces. Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces. Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Dividing both sides by 10 leaves 38 - x = 32. Adding x to both sides gives 38 – x + x = 32 + x, or, 38 = 32 + x. Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 - 32 = 32 + x – 32, or, 6 = x. The answer is 6.