First figure out how many silver coins the 100 gold coins are worth by multiplying the number of gold coins by the exchange rate between gold and silver: 100 gold * 3 silver / gold = 300 silver. Then add the value of the gold in silver to the number of silver coins to find the total value of the gold and silver expressed in silver coins: 300 silver + 60 silver = 360 silver. Now multiply that value by the exchange rate between silver and copper to express its value in terms of copper coins: 360 silver * 8 copper / silver = 2880 copper. Then add the value of the gold and silver expressed in copper coins (the value from the last step) to the number of copper coins to find the total value of the hoard: 2880 + 33 = 2913.
The answer: 2913
Reverse engineering the question: Smaug the dragon hoards 100 gold coins, 60 silver coins, and 33 copper coins. If each silver coin is worth 8 copper coins, and each gold coin is worth 3 silver coins, what is the total value of Smaug's hoard expressed as a number of copper coins?


Reasoning and answer: Twice as many chocolates as she ate the first day is 2 * 4 = 8 chocolates. And three less than twice as many chocolates as she ate the first day is 8 - 3 = 5 chocolates. Two less than the number she ate on the first day is 4 - 2 = 2 chocolates. One less than she ate the third day is 2 - 1 = 1 chocolate. By the end of the fourth day, 4 + 5 + 2 + 1 = 12 chocolates had been eaten. Thus, on the fifth day, 24 - 12 = 12 chocolates remained uneaten.
The answer: 12
What was the question?
Question: Hank gave his wife, Delphine, a box of 24 chocolates for Valentine's Day. On the first day, Delphine ate 4 chocolates. On the second day, she ate 3 less than twice as many chocolates as she ate the first day. On the third day, she ate two less than the number she ate on the first day. And on the fourth day, she ate one less than she ate the previous day. On the fifth day, how many chocolates remained uneaten?


First find the total number of cloves needed to repel the vampires: 30 vampires * 3 cloves / 2 vampires = 45 cloves. Then find the total number of cloves needed to repel the wights: 12 wights * 3 cloves / 3 wights = 12 cloves. Then find the total number of cloves needed to repel the vampire bats: 40 vampire bats * 3 cloves / 8 vampire bats = 15 cloves. Then add up these three amounts to find the total number of cloves needed: 45 cloves + 12 cloves + 15 cloves = 72 cloves.
The answer: 72
Reverse engineering the question: 3 cloves of garlic can repel 2 vampires, 8 vampire bats or 3 wights. How many cloves of garlic are needed to repel 30 vampires, 12 wights and 40 vampire bats?


Reasoning and answer: The treats are $2.50 a bag and she buys 2 bags for a total of 2.50 * 2 = $5.00. The crate and bed are $20.00 each so they will cost 2 * 20 = $40.00. She spends $20.00 on dog food, $5.00 on treats, $15.00 on toys $40.00 for a crate and bed and $15.00 for a leash for a total of 20 + 5 + 15 + 40 + 15 = $95.00. With the 20% off, she can expect a .20 * 95 = $19 discount on her order. Her supplies were $95.00 and she has a $19.00 discount for a total of 95 - 19 = $76.00. Her supplies cost $76.00 and the puppy adoption was $20.00 for a grand total of 76 + 20 = $96.00.
The answer: 96
What was the question?
Question: Julia just adopted a puppy for $20.00 from the local pet shelter. Before she brings the puppy home, she needs to buy a bag of dog food for $20.00, 2 bags of treats for $2.50 a bag, an assortment box of toys for $15.00, a crate and a bed for $20.00 each, and the collar/leash combo for $15.00. The store offered Julia a 20% new-customer discount. How much will Julia spend on the new puppy?


Mrs. Lacson sold a total of 20 + 15 = 35 sweet potatoes. Hence, there are still 80 - 35 = 45 sweet potatoes left unsold.
The answer: 45
Reverse engineering the question: Mrs. Lacson harvested 80 sweet potatoes. She sold 20 of them to Mrs. Adams and 15 of them to Mr. Lenon. How many sweet potatoes are not yet sold?


He spends 2 * $2 = $4 per day. April has 30 days so he spends $4 * 30 = $120.
The answer: 120
Reverse engineering the question:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?