Question

Elena mixes 5 cups of apple juice with 2 cups of berry juice to make a fruit punch. She wants to make 35 cups of fruit punch, how many cups of berry juice would she need?

Answer 1

10 cups of berry juice

Explanation:

5 cups of apple juice = 5a

2 cups of berry juice = 2b

together = 7 cups

5a + 2b = 35

or

7c = 35

c = 5

this means that 5(5a + 2b) = 35

distribute the 5 to get

25a + 10b = 35

25 cups of apple juice and 10 cups of berry juice are needed to get 35 cups of punch