Reasoning and answer: The second dog carried off 1 less bone than the first dog, or 3 - 1 = 2 bones. The third dog carried off twice as many bones as the third dog, or 2 * 2 = 4 bones. The fifth dog carried off twice the number of bones as the fourth dog carried, or 2 * 1 = 2 bones. Therefore, the original pile of bones contained 3 + 2 + 4 + 1 + 2 = 12 bones.
The answer: 12
What was the question?
Question: A pack of dogs found a pile of bones in the dumpster behind the butcher shop. One by one, the dogs crawled into the dumpster, grabbed a mouthful of bones, and ran off with their newfound treasure. In all, there were 5 dogs. The first dog carried off 3 bones. The second dog carried off 1 less bone than the first dog. The third dog carried off twice as many as the second dog. The fourth dog carried off one bone, and the fifth dog carried off twice the number of bones as the fourth dog carried, leaving no remaining bones in the dumpster. How many bones were in the original pile of bones?
Luke must make 85 x 4 = 340 stars in total. He needs to make another 340 - 33 = 307 stars.
The answer: 307
Reverse engineering the question: 85 paper stars are required to fill a glass jar. Luke has already made 33 stars, but he needs to fill 4 bottles. How many more stars must Luke make?
Reasoning and answer: The nuts are $25.00 and he has a $5.00 coupon, so the nuts are on sale for $25 - $5 = $20.00. He eats 1 oz of nuts every evening and the bag has 40 oz of nuts, so it has 40 / 1 = 40 1 oz servings. The nuts cost $20.00 and there are 40 servings per bag, so his snack is $20 / 40 = $0.50 per serving.
The answer: 50
What was the question?
Question: Hayden eats 1 oz of mixed nuts as an evening snack. He buys the bulk bag of mixed nuts that cost $25.00 a bag and holds 40 oz of mixed nuts. There is currently a $5.00 coupon for this item. How much will each serving of nuts cost, in cents, after the coupon is applied?
She has 1 serving of honey per cup of tea and she has 2 teas at night so she needs a total of 1 * 2 = 2 servings per night. There are 6 servings in 1 ounce and she has a 16 - ounce jar of honey so that's 6 * 16 = 96 servings of honey. Her jar has 96 servings and she has 2 servings a night so 1 jar will last her 96 / 2 = 48 nights.
The answer: 48
Reverse engineering the question: Tabitha adds 1 serving of honey per cup of tea in the evening. She usually has 2 cups of tea before bed. She buys her honey in a 16-ounce container. If there are 6 servings of honey per ounce, how many nights will she be able to enjoy honey in her tea before bed?
Reasoning and answer: To calculate Alec's goal number of votes, we need to know that 60 students / 4 = 15 students is equal to one - quarter of the class students. Alec's goal is therefore 15 students * 3 quarters = 45 votes. Half of the class said they will vote for him, so there are already 60 students / 2 = 30 votes. Another 5 students are thinking about voting for him which leaves a total so far of 30 + 5 = 35 votes. This means there are 60 students - 35 voting for Alec = 25 students not voting for Alec. A fifth of these decided to vote, so this is a further 25 students / 5 = 5 votes. Alec is therefore receiving a total of 35 + 5 = 40 votes. So he has missed his goal by 45 goal votes - 40 actual votes = 5 votes.
The answer: 5
What was the question?
Question: Alec is running for Class President. He thinks that if he can get three-quarters of the class to vote for him then there is no chance anyone else can beat him. Half of the class have already said they will vote for him but out of the remaining students, only 5 have said they are thinking about voting for him. He surveys the students who are thinking about voting for someone else, and changes his flyers to reflect the issues these students are concerned about. This results in a fifth of these students saying they'll vote for him. If Alec's class has 60 students and everyone who said they will vote for him does so, how many more votes does Alec need to reach his goal number of votes?
Reasoning and answer: We first convert the time of 4 hours 20 minutes in minutes 2 hours 20 minutes = 2 60 + 20 = 140 minutes. Average speed S is given by distance / time. Hence S = 280 miles / 140 minutes = 2 mile / minute. There are 60 minutes in an hour so the speed is 2 * 60 = 120 miles / hour.
The answer: 120
What was the question?
Question:
Emma traveled by car 280 miles in 2 hours 20 minutes. What was the average speed of the car in miles per hour?