Tong and Phillip are working as counselors in a day camp for kids. One of their
ID: 3033309 • Letter: T
Question
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
Which recipe will make juice that is the most lemony tasting? Explain in detail how you decided.
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.
Explanation / Answer
1.
the juice will be more tasty if amount of concentrate will be higher,
In Recipe A:
Amount of concentrate = 2/(2 + 3) = 2/5 = 0.4 Or 40%
In Recipe B:
Amount of concentrate = 4/(4 + 8) = 4/12 = 0.3333 Or 33.33%
In Recipe C:
Amount of concentrate = 3/(5 + 3) = 3/8 = 0.375 Or 37.5%
So Recipe A will be most lemony tasting.
2.
Total campers = 240 campers
each camper will get 1/2 cup of lemonade,
Total cups of lemonade needed = 240*(1/2) = 120 cups,
Now amount of Concentrate = 40% of 120 = 48 Cups
Amount of water = 60% of 120 = 72 cups