Bob needs to mix two cups of orange juice concentrate with 3.5 cups of water to make orange juice ball has 6 cups of concentrate how much orange juice can he make

Given:

2 cups of orange juice concentrate to 3.5 cups of water

6 cups of OJ concentrate available.

This is a proportion problem.

The ratio of OJ to water is 2:3.5

a:b = c:d where ad = bc

2:3.5 = 6:x

a = 2; b = 3.5; c = 6; d = x

ad = bc

2x = 3.5*6

2x = 21

2x/2 = 21/2

x = 10.50 cups of water

We need 10.50 cups of water for 6 cups of orange juice concentrate.

to check:

2:3.5 = 6:10.50

2*10.50 = 3.5*6

21 = 21