The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% pure fruit juice.

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 70% 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 90 pints of a mixture that is 55% pure fruit juice?

Answer 1

.70x + .45(90-x) = .55(90) = 49.5

.7x -.45x = 49.5 - 40.5= 9

.25x = 9

x= 36 pints of 70%

90-x = 54 pints of 45%

.70(36) + .45(54) = .55(90)

25.2 + 24.3 = 49.5

70 is within 15 of 55

45 is within 10 of 55

you need 15/10 = 3/2 = 1.5 times as much 45% as 70%

54/36 = 3/2