Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 80 % pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?

Answer 1

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Explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 180 y = 180 - x

.60x + .85y = .75(180)

.60x + .85y = 135 Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 13500

60x + 85(180 - x) = 13500

60x + 15300 - 85x = 13500

-25x = -1800

x = 72ounces

y = 180 - 72

y = 108 ounces