[Question]Sam and Drew have a combined age of 54. Sam is half of Drew's age. How old is Sam?
[Answer]Let x be Drew's age. Sam is (1 / 2)x. x + (1 / 2)x = 54. (3 / 2)x = 54. 3x = 108. x = 36. Sam is 36 / 2 = 18 years old. The answer is 18.
Q: Chantal knits sweaters to sell. Each sweater takes 4 balls of yarn. Each ball of yarn costs $6. How much money will Chantal gain in all 28 sweaters if she sells each sweater for $35?
A: The 28 sweaters need 28 x 4 = 112 balls of yarn. So, Chantal will spend 112 x $6 = $672 in all for the balls of yarn. Her total earnings for selling 28 sweaters is $35 x 28 = $980. Therefore, Chantal will gain $980 - $672 = $308. The answer is 308.
Question: Carol spends five hours filling up her pool. During the first hour, the pool fills at a rate of 8 gallons of water per hour. For the next two hours, the pool fills at 10 gallons of water per hour. For the fourth hour, the pool fills at a rate of 14 gallons of water per hour. During the fifth hour, the pool develops a leak and loses 8 gallons of water. At the end of five hours, how many gallons of water are still left in the pool?
Answer: 8 gallons of water added during the first hour. 10 gallons of water added during the second hour. 10 gallons of water added during the third hour. 14 gallons of water added during the fourth hour. The total gallons of water added by the fourth hour is 8 + 10 + 10 + 14 = 42. The number of gallons in the pool after losing 8 gallons in the fifth hour is 42 - 8 = 34. The answer is 34.
[Question]Carlos has some gold quarters. If he spends them in a store, they are worth the regular amount. If he melts them down, he can get $100 per ounce. Each quarter weighs 1/5 of an ounce. How many times more money would he get from melting them down instead of spending them in a store?
[Answer]If he melts them down, five quarters equals $100 because 1 / (1 / 5) = 5. If he spends those five quarters they are worth $1.25 because 5 x .25 = 1.25. They are worth 80 times more melted down because 100 / 1.25 = 80. The answer is 80.
Q: If one Burmese python can eat one 50-cm alligator per week, how many Burmese pythons would it take to eat fifteen 50-centimeter alligators in three weeks?
A: 15 alligators eaten over a period of 3 weeks is a rate of 15 / 3 = 5 alligators per week. Under the normal rate of 1 alligator per week per python, it would take 5 / 1 = 5 pythons to eat 15 alligators in 3 weeks. The answer is 5.
Question: Kim's dad would buy her 2 candy bars a week. She would eat 1 candy bar every 4 weeks, saving the rest. After 16 weeks, how many candy bars did Kim have saved?
Answer:
Kim got 2 candy bars a week for 16 weeks so she got 2 * 16 = 32 candy bars. She would only eat 1 candy bar every 4 weeks so in 16 weeks she only ate 16 / 4 = 4 candy bars. She saved 32 candy bars and only ate 4 so she still has 32 - 4 = 28 candy bars. The answer is 28.