Tanner H. answered • 09/08/20

PhD student in Chemical Engineering at Georgia Tech

From the problem statement, we can write two equations to describe the mixing process. First, we know that the volume of the two fruit drinks added to the mixture must equal the resulting total volume (60 pints), so:

V1 + V2 = 60

Similarly, we can add up the total volume of the *pure* fruit juice. V1 contains 65% pure fruit juice, and V2 contains 85% pure fruit juice, so:

0.65*V1 + 0.85*V2 = 0.7*60

These two equations can be solved simultaneously to find V1 and V2.