Q: 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?
A: 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 is 2913.
Question: Eric, Ben, and Jack have some money. Eric has $10 less than Ben, and Ben has $9 less than Jack. If Jack has $26, how much money, in dollars, do all 3 of them have in total?
Answer: Ben has 26 - 9 = 17 dollars. Eric has 17 - 10 = 7 dollars. They have 26 + 17 + 7 = 50 dollars in total. The answer is 50.
[Question]Martha gets prize points every time she shops at her local grocery store. She gets 50 points per $10 spent, plus a 250 point bonus if she spends more than $100. Martha buys 3 pounds of beef for $11 each, 8 pounds of fruits and vegetables for $4/pound, 3 jars of spices for $6 each, and other groceries totaling $37. How many points does Martha get?
[Answer]First find the total cost of the beef: $11 / pound * 3 pounds = $33. Then find the total cost of the fruits and vegetables: $4 / pound * 8 pounds = $32. Then find the total cost of the spices: $6 / jar * 3 jars = $18. Now add the cost of all the items to find Martha's total spending: $33 + $32 + $18 + $37 = $120. Now divide 50 points by $10 to find now many points Martha gets per dollar: 50 points / $10 = 5 points / dollar. Now multiply this exchange rate by Martha's total spending to find how many points she gets before the bonus: $120 * 5 points / dollar = 600 points. Finally, add the 250 point bonus Martha gets for spending more than $100: 600 points + 250 points = 850 points. The answer is 850.
Q: In a class of 30 students, the teacher polls the students on their favorite subject. 1/5 of the students like Math, and 1/3 like English. 1/7 of the remaining students like Science. The rest don't have a favorite subject. How many students don't have a favorite subject?
A: 30 x 1 / 5 = 6 students like Math. 30 x 1 / 3 = 10 students like English. So, 6 + 10 = 16 students like either Math or English. Thus, 30 - 16 = 14 students neither like Math nor English. Since 1 / 7 of the remaining like Science, therefore 14 x 1 / 7 = 2 students like Science. Hence, 14 - 2 = 12 students neither likes the 3 subjects. The answer is 12.
Question: Perry made a recipe that serves four people. He added a half cup of cream at the end. Cream has 88 grams of fat per cup. How many grams of fat were added to each serving of food?
Answer: Perry added 88 / 2 = 44 grams of fat to the recipe. Thus, he added 44 / 4 = 11 grams of fat to each serving of food. The answer is 11.
Q: In the second hour of a storm it rains 7 inches more than twice the amount it rained the first hour. The total amount of rain in the first two hours is 22 inches. How much did it rain in the first hour?
A:
Let x be the amount of rain in the first hour. It rained 2x + 7 inches in the second hour. x + 2x + 7 = 22. 3x + 7 = 22. 3x = 15. x = 5 inches. The answer is 5.