Let x be the number of nickels he is holding. His nickels are worth 5 * x = 5x cents. He has x + 4 dimes. The dimes are worth 10 * (x + 4). The total worth of the nickels and dimes is 5x + 10 * (x + 4) = 70. 5x + 10x + 40 = 70. 15x = 30. x = 2, Steve has 2 nickels in his hand.
The answer: 2
Reverse engineering the question: Steve is holding nickels and dimes in his hand. He has 4 more dimes than nickels. He has a total of 70 cents in his hand. How many nickels is he holding?
Reasoning and answer: He is buying 16 pounds of chicken and half that amount in hamburgers so he's buying 16 / 2 = 8 pounds of hamburgers. He's going to buy 2 more pounds of hotdogs than hamburgers, which are 8 pounds so he'll have 2 + 8 = 10 pounds of hot dogs. He's going to buy sides that weigh half the amount of the hot dogs so that's 10 / 2 = 5 pounds of sides. He's buying 16 pounds of chicken, 8 pounds of hamburgers, 10 pounds of hot dogs and 5 pounds of sides for a total of 16 + 8 + 10 + 5 = 39 pounds of food.
The answer: 39
What was the question?
Question: For the family reunion, Peter is buying 16 pounds of bone-in chicken and half that amount in hamburgers. He's going to buy 2 more pounds of hot dogs than hamburgers. He's also going to buy several sides that will weigh half the amount of hot dogs. How many pounds of food will he buy?
Hugh and Tommy have a total of 8 + 6 = 14 candies. Since Melany also has seven candies, they have 14 + 7 = 21 candies. If they combine and share the candies equally, each person will get 21 / 3 = 7 candies.
The answer: 7
Reverse engineering the question: Hugh had eight pounds of candy, Tommy had six pounds of candy, and Melany had seven pounds of candy. If they share the candy equally, how much will each person have?
Reasoning and answer: After increasing the price of a piece of jewelry, the price increased from $30 to $30 + $10 = $40 each. He also increased the price of each painting by 20 / 100 * 100 = $20. The total price for buying one painting at the new price is $100 + $20 = $120. If a buyer purchases two pieces of jewelry, the total cost becomes 2 * $40 = $80. When the buyer also buys 5 paintings, he pays a total of $120 * 5 = $600. 2 pieces of jewelry and 5 paintings cost $600 + $80 = $680 at the new prices.
The answer: 680
What was the question?
Question: Mr. Rocky went to the market to sell his handmade crafts on a particular week. He was selling jewelry at $30 each and paintings at $100 each. However, he realized the income from the sales wasn't worth the labor and materials he had used, so he decided to increase the price of jewelry by $10 each and the cost of each painting by 20%. Calculate the total price a buyer who takes two pieces of jewelry and five paintings would pay
Edith's number of writing books is 80 * 2 = 160, twice the number of novel books she has. Altogether, Edith has 160 + 80 = 240 books.
The answer: 240
Reverse engineering the question: Edith has 80 novels stuffed on her schoolbook shelf, half as many as the number of writing books she has stuffed in her suitcase. How many novels and writing books does Edith have altogether?
Camden went swimming 16 / 4 = 4 times a week. Susannah went swimming 24 / 4 = 6 times a week. Susannah went 6 - 4 = 2 more times a week than Camden.
The answer: 2
Reverse engineering the question:
Camden went swimming 16 times in March and Susannah went 24 times. If the number of times they went throughout the month was divided equally among 4 weeks, how many more times a week did Susannah swim than Camden?