alegbra solving a percent mixture

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 95% 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 180

 pints of a mixture that is 80% pure fruit juice?

Answer 1

You will need 108 pints of 70% pure fruit juice plus 72 pints of 95% pure fruit juice.

Let X = pints needed of 70% pure fruit juice

Let Y = pints needed of 95% solution

X + Y = 180

.70X + .95Y = .80(180)



solve simultaneously to obtain X = 108 and Y = 72