Problem Solving - 28

According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

A. 25
B. 34
C. 60
D. 67
E. 100


Answer: A

4 cans of orange juice need 1 can of concentrate.
200 cans 6-ounce of orange juice need 50 cans 6-ounce concentrate.

so 12-ounce concentrate = 50/2 = 25 cans

OR

Let number of 12 ounce cans required = x
number of 12 ounce cans of water required = 3x

Total required servings of Orange juice = 200*6 ounce

Hence

x(12) + 3x(12) = 200*6
48x= 200*6
x=25

Hence A