Question: Company A and Company B merge. Company A receives 60% of the combined profits under the new merger, and company B receives 40% of the profits. If company B gets a total of $60000 in profit, how much does company A get?
Answer with step-by-step thinking: Let the total profit of both companies be denoted by x. Therefore, 40% * x = 0.4 * x = $60000. So x = $60000 / 0.4 = $150000. If Company B gets 60 % of the profits, it gets 60% of $150000, which is 0.6 * $150000 = $90000.
So the answer is 90000.


Question: Charlotte is making a pie. She can't decide if she will make cherry or blueberry. So she decides to make whichever pie is cheapest. Both pies will need $2 for flour, $1 for sugar and $1.5 for eggs and butter to make the crust. The blueberry pie needs 3 pounds of blueberries. The blueberries come in 8 oz containers for $2.25. For the cherry pie, she needs 4 pounds and they come in a four-pound bag for $14. What is the total price to make the cheapest pie?
Answer with step-by-step thinking: The crust will cost $4.5 because 2 + 1 + 1.5 = 4.5. She will need 6 containers for blueberries because 3 x (8 / 16) = 6. The blueberries will cost $13.5 because 6 x 2.25 = 13.5. The blueberries are cheaper because 13.5 < 14. The blueberry pie will cost $18 to make because 4.5 + 13.5 = 18.
So the answer is 18.


Question: A choir was singing a song that involved 30 singers. In the first verse, only half of them sang. In the second verse, a third of the remaining singers joined in. How many people joined in the final third verse that the whole choir sang together?
Answer with step-by-step thinking:
In the first verse, 30 / 2 = 15 singers sang. In the second verse, 15 / 3 = 5 singers joined in. In the final verse, 30 - 15 - 5 = 10 singers joined for the whole choir to sing together.
So the answer is 10.