Solving a percent mixture

Question

The Royal Fruit Company produces two types of fruit drinks. The first type is
65%
pure fruit juice, and the second type is
95%
pure fruit juice. The company is attempting to produce a fruit drink that contains
75%
pure fruit juice. How many pints of each of the two existing types of drink must be used to make
120
pints of a mixture that is
75%
pure fruit juice?

Answer 1

Lex x = pints of 65% juice

Then 120 pints - x pints = pints of 95% juice

(x)(65%) + (120 - x)(95%) = (120)(75%)

65x + 11,400 - 95x = 9,000

-30x = -2400

x = 80 pints of 65% juice 

120 - 80 = 40 pints of 95% juice