Word Problem Question

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 65% pure fruit juice?

Answer 1

60% and 85% to make 50 pints of 65%

.85x + .6(50-x) = .65(50)

.85x -.6x = .65(50) -.6(50)

.25x = .05(50) = 2.5

x = 10 pints of 85%

50-x = 40 pints of 60%

mixed to make 50 pints of 65%

85 is within 20 of 65

60 is within 5 of 65

20/5 = 4 = 40/10

You need 4 times as much 60% as 85%

.85(10) + .6(40)

= 8.5 + 24

=32.5

=.65(50)

=32.5