SOLUTION: How many quarts of grape juice worth $1.20 a quart should be mixed with 3 quarts of apple juice worth 90cents a quart to produce a punch worth $1.00 a quart? Sat prep. Question.

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Question 304985: How many quarts of grape juice worth $1.20 a quart should be mixed with 3 quarts of apple juice worth 90cents a quart to produce a punch worth $1.00 a quart?
Sat prep. Question.
Ans. 1 1/2 quarts

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = quarts of grape juice needed
1.2x = cost of grape juice needed
.9%2A3+=+2.7 = cost of apple juice used
In words:
(cost of all juice)/(total quarts of all juice) = $1/(1 quart)
%281.2x+%2B+2.7%29%2F%28x+%2B+3%29+=+1
1.2x+%2B+2.7+=+x+%2B+3
.2x+=+.3
x+=+1.5 quarts of grape juice needed