Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 65% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 55% pure fruit juice?

Answer 1

let first type used = x pints

2nd type used = y pints

x + y = 80

.40x + .65y = 80 (.55)

solving the equations for x and y

hence, first type used = 32 pints

and second type used = 48 pints