Q: The epic poem currently contains 24 lines. If a person adds 3 lines to the poem every month, in how many months will the poem contain 90 lines?
A: If the epic poem currently contains 24 lines, the total number of lines added for it to reach 90 is 90 - 24 = 66 lines. If a person adds 3 lines to the poem every month, it will take 66 / 3 = 22 months for the poem to contain 90 lines. The answer is 22.
Question: Stacy, Steve and Sylar have 1100 berries total. Stacy has 4 times as many berries as Steve, and Steve has double the number of berries that Skylar has. How many berries does Stacy have?
Answer: Let x be the number of berries Skylar has. Steve has 2x berries. Stacy has 4(2x) = 8x berries. 1100 = x + 2x + 8x. 1100 = 11x. x = 100 berries. Stacy has 8(100) = 800 berries. The answer is 800.
[Question]Randy, Peter, and Quincy all drew pictures. Peter drew 8 pictures. Quincy drew 20 more pictures than Peter. If they drew 41 pictures altogether, how many did Randy draw?
[Answer]Quincy drew 20 + 8 = 28 pictures. Quincy and Peter drew 28 + 8 = 36 pictures in total. Randy drew 41 - 36 = 5 pictures. The answer is 5.
Q: Carson runs a carpool for five of his friends. The five of them cover all the gas expenses to compensate Carson for his time. Their total commute is 21 miles one way, gas costs $2.50/gallon, Carson's car gets 30 miles/gallon, and they commute to work 5 days a week, 4 weeks a month. How much does each person pay toward gas monthly?
A: First find the total number of monthly commutes: 5 days / week * 4 weeks / month = 20 days / month. Then multiply the distance of the commute one way by the two ways: 21 miles * 2 = 42 miles. Then multiply the number of commutes by the number of miles per commute: 42 miles / commute * 20 commutes = 840 miles. Then divide the number of miles by the car's gas mileage: 840 miles / 30 miles / gallon = 28 gallons. Then multiply that number by the cost of each gallon to find the total cost: 28 gallons * $2.50 / gallon = $70. Then divide the total cost by the number of friends to find the cost per person: $70 / 5 people = $14 / person. The answer is 14.
Question: At a certain car dealership, 15% of the cars cost less than $15000 and 40% of the cars cost more than $20000. If there are 3000 cars at the dealership, how many of them cost between $15000 and $20000?
Answer: 15% of 3000 cars is (15 / 100) * 3000 = 450 cars. 40% of 3000 cars is (40 / 100) * 3000 = 1200 cars. 450 + 1200 = 1650 cars which cost either less than $15000 or more than $20000. Out of 3000 cars, there will then be 3000 - 1650 = 1350 cars left which cost between $15000 and $20000. The answer is 1350.
Q: Abel leaves for a vacation destination 1000 miles away driving 50 miles per hour. An hour later Alice leaves from the same point for the same destination, traveling 40 miles per hour. How much earlier does Abel reach the destination in minutes??
A:
If Abel needs to travel 1000 miles going 50 miles per hour, this means it will take him 1000 / 50 = 20 hours to get there. If Alice needs to travel 1000 miles going 40 miles per hour, this means it will take her 1000 / 40 = 25 hours to get there. Since there are 60 minutes in an hour, this means it will take Abel 20 * 60 = 1200 minutes to arrive. Similarly, this means it will take Alice 25 * 60 = 1500 minutes to arrive. This means Abel arrives 1500 - 1200 = 300 minutes before Alice if they both leave simultaneously. However, since Abel had a head start of 1 hour, which is 60 minutes, this means Abel arrives 300 + 60 = 360 minutes ahead of Alice. The answer is 360.