Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90%pure fruit juice. The company is attempting to produce a fruit drink that contains 75% pure fruit juice. How many pints of each ofthe two existing types of drink must be used to make 170 pints of a mixture that is 75% pure fruit juice?First fruit drink:pintsХ5?Second fruit drink: pints

Answer 1

Let

x ----> number of pints of the First fruit drink

y ----> number of pints of the Second fruit drink

we have that

x+y=170 -------> x=170-y ----> equation A

65%=0.65

90%=0.90

75%=0.75

so

0.65x+0.90y=0.75(170) -----> equation B

Solve the system of equations

substitute equation A in equation B

0.65(170-y)+0.90y=0.75(170)

solve for y

110.5-0.65y+0.90y=