Question 1103255: Tong and Phillip are working as counselors in a day camp for kids. One of their tasks is to prepare lemonade for snack break. In the camp's recipe box they find three recipes for making lemonade from concentrate:
Recipe A
2 cups concentrate
3 cups cold water
Recipe B
4 cups concentrate
8 cups cold water
Recipe C
3 cups concentrate
5 cups cold water
Assume that each of the 240 campers gets 1/2 cup of lemonade. Calculate how much concentrate and how much water are needed for each of the three recipes. Explain in detail your method of calculation.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i'll do one recipe to show you how it's done.
recipe A:
2 cups concentrate to 3 cups water.
total is 5 cups, of which 2/5 is concentrate and 3/5 is water.
you use these ratios to find out how many cups of concentrate and water are needed in any quantity of mixture.
with 5 cups of mixture, you will get 2/5 * 5 = 2 cups of concentrate and 3/5 * 5 = 3 cups of water.
with 1/2 cup of mixture, you will get 2/5 * 1/2 = 2/10 cups of concentrate and 3/5 * 1/2 = 3/10 cups of water.
2/10 of a cup plus 3/10 of a cup = 5/10 of a cup = 1/2 of a cup.
do the same for recipe B and C and you'll have your answer.
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