Question: Tim decides to run a campaign for governor. He gets the maximum $1200 donation from 500 people, and three times as many people donated half this sum of money to his campaign. These donations together accounted for 40% of the total money that Tim raised. How much total money did he raise?
Answer: He got 1200 * 500 = $600,000 from maxed donors. The smaller donors donated 1200 / 2 = $600. He had 500 * 3 = 1500 of these donors. So they donated 1500 * 600 = $900,000. So large donations where worth 900,000 + 600,000 = $1,500,000. So he raised 1,500,000 / .4 = $3750000. The answer is 3750000.
[Question]Mark has an egg farm. His farm supplies one store with 5 dozen eggs and another store with 30 eggs each day. How many eggs does he supply these two stores in a week?
[Answer]Since a dozen is equal to 12, then Mark's egg farm supplies one store with 5 x 12 = 60 eggs each day. It supplies the two stores with a total of 60 + 30 = 90 eggs each day. Therefore, the egg farm supplies the two stores with 90 x 7 = 630 eggs in a week. The answer is 630.
Q: The pet shop grooms dogs. It takes 30 minutes to groom a poodle. It takes half as much time to groom a terrier as it takes to groom a poodle. They do not groom cats. If the pet shop grooms 3 poodles and 8 terriers, what is the total length of time it will take, in minutes?
A: At a rate of 30 minutes per poodle, 3 poodles will take 3 * 30 = 90 minutes. If it takes half as much time to groom a terrier as it takes to groom a poodle, it takes 30 / 2 = 15 minutes per terrier. At a rate of 15 minutes per terrier, 8 terriers will take 120 minutes. Thus, in total, it will take the pet shop 90 + 120 = 210 minutes to groom 3 poodles and 8 terriers. The answer is 210.
Question: If it takes 20 minutes to paint a house, how many houses can you paint in 3 hours?
Answer: There are 3 hours * 60 minutes / hour = 180 minutes in 3 hours. You can paint 180 minutes / 20 houses / minute = 9 houses in 3 hours. The answer is 9.
[Question]In a factory, there are 3 machines working 23 hours a day. The owner decided to buy a fourth machine, which works only 12 hours a day. One machine can produce 2 kg of material every hour. The factory sells the produced material for $50 per 1 kg. How much can this factory earn in one day?
[Answer]The total runtime for the first three machines is 3 machines * 23 hours / day / machine = 69 hours / day. So these machines could produce 69 hours / day * 2 kg / hour = 138 kg / day. The fourth machine could produce 12 hours / day * 2 kg / hour = 24 kg / day of material. In total all the machines would produce 138 kg / day + 24 kg / day = 162 kg / day of material. The factory would therefore earn 162 kg / day * $50 / kg = $8100 / day. The answer is 8100.
[Question]Hank is raising money for the local homeless shelter. Hank makes $100 in a carwash and donates 90% of the proceeds to the local homeless shelter. Hank makes $80 in a bake sale and donates 75% of the proceeds to the local homeless shelter. Then he makes $50 mowing lawns and donates 100% of the proceeds to the local homeless shelter. How much money does Hank donate in total?
[Answer]
From the carwash, Hank donates $100 * 0.90 = $90. From the bake sale, Hank donates $80 * 0.75 = $60. From mowing lawns, Hank donates $50 * 1.00 = $50. Hank donates a total of $90 + $60 + $50 = $200. The answer is 200.