[Question]Billy is reducing raspberry juice down to make syrup. He reduces 6 quarts of juice to 1/12 of its original volume, then adds 1 cup of sugar. What is the final volume of the syrup in cups? (There are 4 cups in a quart)
[Answer]First find the total number of cups of juice: 6 quarts * 4 cups / quart = 24 cups. Then find the reduced volume of the juice: 24 cups * 1 / 12 = 2 cups. Then add the volume of the sugar to find the total volume of the syrup: 2 cups + 1 cups = 3 cups. The answer is 3.
Q: A company is hosting a seminar. So far, 30 attendees from company A have been registered; company B has twice the number of attendees of company A; company C has 10 more attendees than company A; company D has 5 fewer attendees than company C. If a total of 185 attendees have registered, how many attendees who registered are not from either company A, B, C or D?
A: There are 30 x 2 = 60 attendees from company B. Company C has 30 + 10 = 40 attendees. Company D has 40 - 5 = 35 registered attendees. So, the total attendees from company A, B, C, and D is 30 + 60 + 40 + 35 = 165. Therefore there are 185 - 165 = 20 attendees that are not from companies A, B, C, or D. The answer is 20.
Question: Paul is collecting license plates from different states. He has plates from 40 different states. For each percentage point of total US states that he has, his parents will give him $2. How much does he earn from them?
Answer: The proportion of plates that he has out of total states is .8 because 40 / 50 = .8. He has 80% of the plates because .8 x 100 = 80. He makes $160 because 80 x 2 = 160. The answer is 160.
[Question]Pria bought a new car that advertised an estimated gas mileage of 35 miles per gallon. The car has a 12-gallon tank. She filled her car full of gas and was able to drive a total of 372 miles. What was the difference, in miles per gallon, between Pria's mileage and the advertised mileage?
[Answer]Pria's car achieved a rate of 372 miles / 12 gallons = 31 miles per gallon. Therefore, it was a difference of 35 - 31 = 4 miles per gallon. The answer is 4.
Q: Ann can skate 6 miles an hour. Her friend Glenda can skate 8 miles an hour. If they start in the same place and skate in straight lines in opposite directions for 3 hours, how many miles apart do they end up?
A: First find how far Glenda goes in 3 hours by multiplying her speed by the number of hours she travels: 3 hours * 8 miles / hour = 24 miles. Then do the same thing for Ann: 3 hours * 6 miles / hour = 18 miles. Now add the number of miles both people skated to find the total distance between them: 18 miles + 24 miles = 42 miles. The answer is 42.
Question: Eden's mom is twice as old as Eden, who is twice as old as Devin. If Devin is 12 years old, what's the average age of the three?
Answer:
If Devin is 12 years old, then Eden is 2 * 12 years = 24 years old. Since Eden's mom two times older than Eden, her age is 24 years * 2 = 48 years. In total, they have 48 years + 24 years + 12 years = 84 years. The average age for the three is 84 years / 3 people = 28 years / person. The answer is 28.