Solving a percent mixture problem

Question

the Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 80% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 80% pure fruit juice? 

Answer 1

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Answer 2

x represents amount of 65%

90 - x represents amount of 90%

 

0.65x + 0.90(90 - x) = 0.80(90)

0.65x + 81 - 0.90x = 72

-0.25x + 81 = 72

-0.25x = -9

x = 36

 

How much of each must be used?