How to solve this pre algebra question?

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 65%

 pure fruit juice, and the second type is 85%

 pure fruit juice. The company is attempting to produce a fruit drink that contains 70%

 pure fruit juice. How many pints of each of the two existing types of drink must be used to make 60

 pints of a mixture that is 70%

 pure fruit juice? 

Answer 1

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.