[Question]Merry is taking care of 10 lambs. Her brother takes care of 3 more lambs than Merry. How many lambs do Merry and her brother have?
[Answer]Merry's brother takes care of 10 + 3 = 13 lambs. So, together Merry and her brother have 10 + 13 = 23 lambs. The answer is 23.
Q: Joseph invested $1000 into a hedge fund. The fund promised a yearly interest rate of 10%. If he deposited an additional $100 every month into the account to add to his initial investment of $1000, how much money will he have in the fund after two years?
A: For the first year, Joseph will have invested $1000 + ($100 * 12) = $2200. The interest calculated for the first year will be $2200 * 10% = $220. The total value of the investment for the first year will be $2200 + $220 = $2420. For the second year, the total invested will be $2420 + ($100 * 12) = $3620. The interest calculated after the second year will be $3620 * 10% = $362. Therefore, Joseph's investment in the mutual fund will be worth $3620 + $362 = $3982. The answer is 3982.
Question: A beadshop earns a third of its profit on Monday, a quarter of its profit on Tuesday and the rest of its profit on Wednesday. The shop makes a total profit of $1,200. How much profit, in dollars, was made on Wednesday?
Answer: On Monday, 1200 / 3 = 400 dollars were made. On Tuesday, 1200 / 4 = 300 dollars were made. On Wednesday, 1200 - 400 - 300 = 500 dollars were made. The answer is 500.
[Question]A hot air balloon with 200 balloons is blowing up. After about half an hour, 1/5 of the total number of balloons in the hot air balloon have blown up. After another hour, twice the number of balloons that had already blown up also blow up. How many balloons in the hot air balloon remain intact?
[Answer]After half an hour, the number of balloons that had blown up is 1 / 5 * 200 = 40. The number of balloons that haven't blown up so far is 200 - 40 = 160. In the next hour, 2 * 40 = 80 balloons blow up. The number of balloons that haven't blown up now is 160 - 80 = 80. The answer is 80.
Q: A company has 200 employees. 60% of the employees drive to work. Of the employees who don't drive to work, half take public transportation. How many more employees drive to work than take public transportation?
A: Drive to work:200(.60) = 120. Don't Drive to work:200 - 120 = 80. Public Transportation:80(.50) = 40 employees. 80 - 40 = 40 employees. The answer is 40.
Question: A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?
Answer:
Some of the pool floats were damaged, which means that 120 / 4 = 30 pool floats were discarded. This left the class with 120 30 = 90 pool floats that were actually part of the donations they need to organize. This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = 240 donations that were not basketballs. So out of the donations, there were 300 donations 240 = 60 basketballs. In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = 30 basketballs. There was therefore a total of 60 + 30 = 90 basketballs donated. The answer is 90.