He bought 5 bottles of perfume that weighed 1.2 oz each so they weighed 5 * 1.2 = 6 oz. 2 bars of soap weighed 5 oz each so they weighed 2 * 5 = 10 oz. 2 jars of jam weighed 8 oz each so they weighed 2 * 8 = 16 oz. The perfume is 6 oz, the soap is 10 oz and the jam is 16 oz for a total of 6 + 10 + 16 = 32 oz. 16 oz is 1 pound, and he had 32 oz in products so he had 32 / 16 = 2 pounds of products. His suitcase weighed 5 pounds, and the chocolate weighed 4 pounds and the remaining products weighed 2 pounds so his suitcase weighed 5 + 4 + 2 = 11 pounds.
The answer: 11
Reverse engineering the question: Jacque arrived in France and his suitcase weighed 5 pounds. While in France, he picked up 5 bottles of perfume that weighed 1.2 ounces each, 4 pounds of chocolate, 2 bars of soap that weighed 5 ounces each and 2 jars of jam that weighed 8 ounces each. Considering 16 ounces is the same as 1 pound, how much did Jacque's suitcase weigh on the return flight home?
Reasoning and answer: Two instant camera cost 2 x $110 = $220. Three digital photo frames cost 3 x $120 = $360. Thus, the total amount is $220 + $360 = $580. So, Selena gets a discount of 5 / 100 x 580 = $29. Therefore, Selena pays a total of $580 - $29 = $551.
The answer: 551
What was the question?
Question: Selene buys two instant cameras at $110 and three digital photo frames at $120 each. She gets a 5% discount on all the items she purchased. How much does she pay in all?
We have 56 + 40 = 96 animals other than goats. So, we have 200 96 = 104 goats.
The answer: 104
Reverse engineering the question: In a field where there are 200 animals, there are 40 cows, 56 sheep and goats. How many goats are there?
Reasoning and answer: First figure out how many minutes 4 hours is: 4 hours * 60 minutes / hour = 240 minutes. Then figure out how long the two essays will take by multiplying the time per essay by the number of essays: 2 essays * 1 hour / essay * 60 minutes / hour = 120 minutes. Use the same method to find the total time spent writing paragraphs: 15 minutes / paragraph * 5 paragraphs = 75 minutes. Now subtract the time spent on essays and paragraphs from the total time to find the time spent on all the short answer questions: 240 minutes - 120 minutes - 75 minutes = 45 minutes. Finally, divide the total time spent on short - answer questions by the time per question to find the number of questions: 45 minutes / 3 minutes / question = 15 questions.
The answer: 15
What was the question?
Question: Karen is planning writing assignments for her fifth grade class. She knows each short-answer question takes 3 minutes to answer, each paragraph takes 15 minutes to write, and each essay takes an hour to write. If Karen assigns 2 essays and 5 paragraphs, how many short-answer questions should she assign if she wants to assign 4 hours of homework total?
35% of the cookies have nuts and chocolate chips because 100 - 25 - 40 = 35. 60% of the cookies have nuts in them because 25 + 35 = 60. She makes 36 cookies with nuts in them because 60 x .6 = 36. She needs 72 nuts because 36 x 2 = 72.
The answer: 72
Reverse engineering the question: Maria is baking cookies for Sally. Sally says that she wants 1/4 of her cookies to have nuts in them, 40% to have chocolate chips in them, and the remainder to have nuts and chocolate chips in them. When she adds nuts to the cookies, she uses 2 nuts per cookie. If she makes 60 cookies, how many nuts does she need?
First find how many liters of the seawater are salt: 2 liters * 20% = .4 liters. Then multiply that amount by 1000 ml / liter to find the number of ml of salt Jack gets: .4 liters * 1000 ml / liter = 400 ml.
The answer: 400
Reverse engineering the question:
Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?