Question

Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart.

Answer 1

Let

q-------> amount of quarts of cranberry juice

we know that

(q+4)*4.50=q*6.30+4*3.60

4.5*q+18=6.30*q+14.4

6.30*q-4.5*q=18-14.4

1.8*q=3.6

q=3.6/1.8

q=2 quarts of Cranberry juice

therefore

the answer is

2 quarts of Cranberry juice