[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.
Q: Samantha, Aira, and Joe received 6 rubber bands each after they divided their bands equally. If Samantha had 5 more bands than Aira and Aira had 1 fewer band than Joe, how many rubber bands did Aira have?
A: Samantha, Aira, and Joe have 6 x 3 = 18 rubber bands altogether. If we let x be the number of bands that Aira had, then Samantha had x + 5. Since Aira had 1 fewer band than Joe, then Joe had x + 1. Since the total number of bands is 18, then the equation is x + (x + 5) + (x + 1) = 18. By simplifying the left side of the equation, we have 3x + 6 = 18. Putting all the constant terms on the right side gives 3x = 12. So the value of x is 12 / 3 = 4. Hence, Aira had 4 rubber bands. The answer is 4.
Question: Olaf is sailing across the ocean with 25 men, including himself. He needs 1/2 a gallon of water per day per man. The boat can go 200 miles per day and he needs to travel 4,000 miles. How many gallons of water does he need?
Answer: He needs 12.5 gallons per day because 25 x .5 = 12.5. It will take 20 days of travel because 4,000 / 200 = 20. He will need 250 gallons of water because 20 x 12.5 = 250. The answer is 250.
[Question]Rayden bought three times as many ducks as Lily from the market. He also bought four times as many geese as Lily. If Lily bought 20 ducks and 10 geese, how many more ducks and geese do Rayden have more than Lily altogether?
[Answer]If Rayden bought three times as many ducks as Lily, then he has 3 * 20 = 60 ducks. He has 60 - 20 = 40 more ducks than Lily has. Rayden also bought 4 * 10 = 40 geese, four times the geese that Lily bought. He has 40 - 10 = 30 more ducks than Lily. Altogether, Rayden has 30 + 40 = 70 more ducks and geese than Lily. The answer is 70.
Q: It rained twice as much on Tuesday as Monday. On Monday it rained 3 inches more than Sunday. It rained 4 inches on Sunday. How much total rainfall was there over the 3 days?
A: It rained 3 + 4 = 7 inches on Monday. So it rained 7 * 2 = 14 inches on Tuesday. That means the total rainfall was 7 + 14 + 4 = 25 inches. The answer is 25.
Question: Tameka is selling boxes of crackers for her scout troop. On Friday, she sold 40 boxes. On Saturday, she sold 10 fewer than twice that number. And on Sunday, she sold half as many as Sunday. How many boxes did she sell over the three days?
Answer:
Saturday's total was 2 * 40 - 10 = 70. Sunday's was 70 / 2 = 35. The sum is 40 + 70 + 35 = 145. The answer is 145.