Let x represent the number of tent stakes. Drink Mix: 3x. Bottles of Water: x + 2. Total: x + 3x + x + 2 = 22. 5x + 2 = 22. 5x = 20. x = 4 tent stakes.
The answer: 4
Reverse engineering the question: Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as tent stakes. She also bought 2 more bottles of water than she did tent stakes. How many tent stakes did she buy?
Reasoning and answer: He got 300 * 2 = $600. So he got 600 / 20 = 30 bills.
The answer: 30
What was the question?
Question: Tye goes to two different banks and withdraws $300 from each bank. If he got it all in 20 dollar bills how many bills did he get?
Out of the 400 emails, 1 / 4 * 400 = 100 emails were spam emails. The number of emails that were not spam emails is 400 - 100 = 300. 2 / 5 of the emails which were not spam were promotional emails, a total of 2 / 5 * 300 = 120 emails. If the rest of the emails were important emails, there were 300 - 120 = 180 important emails.
The answer: 180
Reverse engineering the question: Out of the 400 emails that Antonia received in her mail, 1/4 were spam emails, while 2/5 of the remaining emails were promotional messages. If the rest of the emails were important emails, calculate the total number of important emails in her inbox.
Reasoning and answer: First find the number of cars not counting the engine and caboose: 71 cars - 2 cars = 69 cars. Let p be the number of passenger cars and c be the number of cargo cars. We know that p + c = 69 and c = p / 2 + 3. Substituting the second equation into the first, we get p + p / 2 + 3 = 69. Combining like terms, we get 1.5p + 3 = 69. Subtracting 3 from both sides, we get 1.5p = 66. Dividing both sides by 1.5, we get p = 44.
The answer: 44
What was the question?
Question: A particular train has some passenger cars and a number of cargo cars equal to half the number of passenger cars plus three. If the total number of cars is 71, counting the engine and caboose, how many passenger cars are in the train?
The number of women in the group is 3 women / child * 30 children = 90 women. The number of men in the group is 2 men / woman * 90 women = 180 men. The total number of people in the group is 180 men + 90 women + 30 children = 300 people.
The answer: 300
Reverse engineering the question: A group of people contains men, women, and children. The number of men is twice the number of women, and the number of women is 3 times the number of children. If the number of children is 30, how many people does this group contain?
If Ann has 60 cards, which is six times as many cards as Heike, Heike has 60 / 6 = 10 cards. Anton has three times as many cards in his collection as Heike does, and since Heike has 10 cards, Anton has 10 * 3 = 30 cards. Ann has 60 - 30 = 30 more cards than Anton.
The answer: 30
Reverse engineering the question:
Anton has three times as many cards in his collection as Heike does. Ann has six times as many cards as Heike does. If Ann has 60 cards, how many more cards does Ann have more than Anton?