Question

A recipe that makes 3 servings calls for 3/5 cup of apple juice and 3/4 cup of cranberry juice. How many cups of juice are there per serving?

Answer 1

3/5 cups of apple juice + 3/4 cups of cranberry juice =
3/5 + 3/4 = 12/20 + 15/20 = 27/20 total juice

set up a proportion..
3/(27/20) = 1/x --- (3 servings to 27/20 juice = 1 serving to x juice)
cross multiply
(3)(x) = (27/20)(1)
3x = 27/20
x = (27/20) / 3
x = 27/20 * 1/3
x = 27/60 when reduced = 9/20

check...
9/20 * 3 = 27/20
27/20 = 27/20 (correct)

There are 9/20 cups of juice per serving :)