[Question]Wendy's truck has a gas tank that can hold 20 gallons. She also has a car with a gas tank that holds 12 gallons. The truck's tank is half full. The car's tank is 1/3 full. If she fills them both up completely, how many gallons does she add?
[Answer]The truck tank has 10 gallons in it because 20 x .5 = 10. The car tank has 4 gallons in it because 12 x (1 / 3) = 4. She needs to add 10 gallons to the truck because 20 - 10 = 10. She needs to add 8 gallons to the car because 12 - 4 = 8. She needs to add 18 gallons in total because 10 + 8 = 18. The answer is 18.
Q: Jenny and Mark are throwing bottle caps. Jenny's bottlecap flies 18 feet straight, then bounces off a street light and flies another 1/3 of the distance it already went. Mark's bottle cap flies 15 feet forward, then bounces off a window and flies twice as far as it already did. How much further did Mark's bottle cap go than Jenny's?
A: First find 1 / 3 of the distance Jenny's bottlecap went straight: 18 feet / 3 = 6 feet. Then add that to the distance it flew straight to find the total distance it traveled: 6 feet + 18 feet = 24 feet. Then find twice the distance Mark's bottlecap went straight: 15 feet * 2 = 30 feet. Then add that distance to the distance it flew straight to find the total distance it traveled: 30 feet + 15 feet = 45 feet. Then subtract the distance Jenny's bottlecap traveled from the distance Mark's traveled to find the difference: 45 feet - 24 feet = 21 feet. The answer is 21.
Question: Jill is painting her 20 toenails and fingernails. She paints 6 of her nails purple, 8 of them blue, and the rest striped. What is the difference in percentage points between the percentage of nails painted blue and the percentage painted striped?
Answer: First find the total number of striped nails: 20 nails - 6 nails - 8 nails = 6 nails. Then divide the number of blue nails by the number of total nails and multiply by 100% to express the answer as a percentage: 8 blue nails / 20 total nails * 100% = 40%. Then divide the number of striped nails by the number of total nails and multiply by 100% to express the answer as a percentage: 6 striped nails / 20 total nails * 100% = 30%. Then subtract the percentage of striped nails from the percentage of blue nails to find the difference: 40% - 30% = 10%. The answer is 10.
[Question]Heather is going to sew 150 aprons that are to be used for a kiddie crew program. She already was able to sew 13 aprons, and today, she sewed three times as many aprons. How many aprons should she sew tomorrow if she wants to sew half of the remaining number of aprons needed?
[Answer]Heather has sewn 13 x 3 = 39 aprons today. The total number of aprons sewn is 13 + 39 = 52. Heather needs to sew 150 - 52 = 98 aprons more. So, she needs to sew 98 / 2 = 49 aprons tomorrow. The answer is 49.
Q: Tony exercises every morning by walking 3 miles carrying a 25-pound backpack, then he runs another 10 miles without the backpack. If he walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour, how many hours each week does he spend exercising?
A: Tony walks 3 miles at 3 miles per hour for 3 / 3 = 1 hour. Tony also runs 10 miles at 5 miles per hour for 10 / 5 = 2 hours. Thus, each day he exercises for 1 + 2 = 3 hours. Over the course of one week, he exercises for 3 * 7 = 21 hours. The answer is 21.
Question: Daisy's milk cow provides 16 cups of milk per day. 75% of the milk is consumed by Daisy's kids. Daisy uses 50% of the remaining milk to cook with. How much milk is left over?
Answer:
The cow provides 16 cups of milk per day and the kids consume 75% so they drink 16 * .75 = 12 cups of milk. The cow provides 16 cups of milk and the kids drink 12 cups leaving 16 - 12 = 4 cups of milk. Daisy uses 50% of the remaining 4 cups of milk to cook with so she uses .50 * 4 = 2 cups of milk. She had 4 cups of milk and used 2 cups to cook with so that leaves 4 - 2 = 2 cups of milk. The answer is 2.