Question

the royal fruit company produces two types of fruit drinks. the first type is 40%pure fruit juice the second is 85%pure fruit juice. the company is attempting to produce a fruit drink that contains 70% pure fruit juice. how many pints of the two existing types of drinks must be used to make 90pints of a mixture that is 70%pure fruit juice​

Answer 1

(70% * x) + 95% (90-x) = 75% (90 pints)

0.7x + (0.95)(90-x) = (0.75)(90)

0.7x + 85,5 -0.95 x = 67.5

67= 0.25x

x - 72 pints

y=90-x = 18

so you need 72 pints of the first juice and 18 pints of the second juice mixed to form 90pints