Q: Janet has to drive 30 miles east from home to see her dermatologist and 50 miles west from home to see her gynecologist. If she has appointments with both doctors on the same day, how many gallons of gas does she use driving to both appointments and back home again, if her car gets 20 miles per gallon?
A: First find the total distance she drives to get to the dermatologist and back to her house: 30 miles * 2 = 60 miles. Then find the total distance she drives to get to the gynecologist and back to her house: 50 miles * 2 = 100 miles. Then add those two amounts to find how far she drives total: 60 miles + 100 miles = 160 miles. Then divide that distance by her car's gas mileage to find how many gallons of gas she needs: 160 miles / 20 miles / gallon = 8 gallons. The answer is 8.
Question: There are 320 ducks in a pond. On the first night 1/4 of them get eaten by a fox. On the second night 1/6 of the remaining ducks fly away, and on the third night 30 percent are stolen. How many ducks remain after the three nights?
Answer: First night:320(1 / 4) = 80. 320 - 80 = 240. Second night:240(1 / 6) = 40. 240 - 40 = 200. Third night:200(.30) = 60. 200 - 60 = 140 ducks remain. The answer is 140.
[Question]Julio goes fishing and can catch 7 fish every hour. By the 9th hour, how many fish does Julio have if he loses 15 fish in the process?
[Answer]Julio catches a total of 7 fish / hour * 9 hours = 63 fish. After losing some of the fish, Julio has 63 fish - 15 fish = 48 fish. The answer is 48.
Q: Jack is counting out his register at the end of his shift in the shop. His till has 2 $100 bills, 1 $50 bill, 5 $20 bills, 3 $10 bills, 7 $5 bills, 27 $1 bills, and a certain amount of change in coins. If he is supposed to leave $300 in notes as well as all the coins in the till and turn the rest in to the main office, how much money will he be handing in?
A: Jack's till has 2 * $100 + 1 * $50 + 5 * $20 + 3 * $10 + 7 * $5 + 27 * $1 bills, or $200 + $50 + $100 + $30 + $35 + $27 = $442. He's going to leave $300 in the till and turn the rest in to the office, so he'll be turning in $442 - $300 = $142. The answer is 142.
Question: Trevor's older brother was twice his age 20 years ago. How old was Trevor a decade ago if his brother is now 32 years old?
Answer: If Trevor's brother is 32 years old today then 20 years ago he was = 32 - 20 = 12 years old. If Trevor's brother was 12 years old and he was twice Trevor's age, then Trevor was 12 / 2 = 6 years old. If Trevor was 6 years old 20 years ago, then he must be 6 + 20 = 26 years old today. If Trevor is 26 years old today then a decade ago he must have been 26 - 10 = 16 years old. The answer is 16.
Q: Darnell has 1000 square feet of fabric that he's using to make mini flags. He makes square flags that are 4 feet by 4 feet, wide rectangular flags that are 5 feet by 3 feet, and tall rectangular flags that are 3 feet by 5 feet. He has already made 16 square flags, 20 wide flags, and 10 tall flags. How many square feet of fabric does he have left?
A:
The square flags use 16 square feet of fabric per flag because four times four equals 16. The wide flags each use 15 feet of fabric per flag because five times three equals 15. The tall flags each use 15 feet of fabric per flag because five times three equals 15. He has used 256 square feet for the square flags because 16 times 16 equals 256. He has used 300 square feet for the wide flags because 20 times 15 equals 300. He has used 150 square feet for the tall flags because ten times 15 equals 150. He has used 706 square feet because 256 plus 300 plus 150 equals 706. He has 294 square feet left because 1,000 minus 706 equals 294. The answer is 294.