Q: After Betty gave Stuart 40% of her marble collection, the number of marbles in Stuart's collection increased to 80. If Betty had 60 marbles, how many marbles did Stuart have initially?
A: If Betty had 60 marbles, she gave Stuart 40 / 100 * 60 = 24 marbles. Since the number of marbles in Stuart's collection increased to 80 after Betty gave him 24 marbles, the number of marbles he initially had is 80 - 24 = 56. The answer is 56.
Question: One-half of a pound of mangoes costs $0.60. How many pounds can Kelly buy with $12?
Answer: One pound of mangoes cost $0.60 x 2 = $1.20. So Kelly can buy $12 / $1.20 = 10 pounds of mangoes. The answer is 10.
[Question]Gentry assembled a new 24 foot round pool in her backyard. To fill the pool with water, she used four hoses. Two of the hoses each deliver water at a rate of 2 gallons per minute. The other two hoses each deliver water at a rate of 3 gallons per minute. With a volume of 15,000 gallons, how many hours will it take to fill the pool?
[Answer]Each of the two hoses delivers water at a rate of 2 gallons per minute, for a combined total of 2 * 2 = 4 gallons of water per minute. The other two hoses each deliver water at a rate of 3 gallons per minute, for a combined total of 2 * 3 = 6 gallons of water per minute. Thus, all four hoses deliver a combined total of 4 + 6 = 10 gallons of water per minute. With a volume of 15,000 gallons, it would take 15,000 / 10 = 1500 minutes to fill the pool. Converting to hours, it will take 1500 / 60 = 25 hours to fill the pool. The answer is 25.
Q: With 82 students, there are 2 students for each computer. If there are 16 more students, how many computers must they have in total to continue with 2 students per computer?
A: 2 students per computer means the total number of computers is 82 / 2 = 41 computers. with the arrival of 16 students, the number of computers that should be added is 16 / 2 = 8 computers. all computers together are 41 + 8 = 49 computers. The answer is 49.
Question: John buys 3 different coolers. The first one is 100 liters. The second is 50% bigger than that and the third is half the size of the second. How much total water can they hold?
Answer: The second cooler is 100 * .5 = 50 liters bigger than the first. So it is 100 + 50 = 150 liters. The third is 150 / 2 = 75 liters. So the total water they can hold is 100 + 150 + 75 = 325 liters. The answer is 325.
Q: Alice and Bob are each given $2000 to invest. Alice puts all of her money in the stock market and doubles her money. Bob invests in real estate and makes five times more money than he invested. How much more money does Bob have now than Alice?
A:
When Alice invested her money in the stock market, her money doubled to $2000 * 2 = $4000. Bob, after investing in real estate, increased his money by 2000 * 5 = 10000. The total amount of money that Bob made after investing in real estate is $10000 + $2000 = $12000. Bob made $12000 - $4000 = $8000 more than Alice after investing his money. The answer is 8000.