SOLUTION: How many quarts of water should be mixed with a 30% vinegar solution to obtain 12 qt of a 25% vinegar solution? (Hint: Water is 0% vinegar) Every time I tried to answer this I w

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Question 1047943: How many quarts of water should be mixed with a 30% vinegar solution to obtain 12 qt of a 25% vinegar solution? (Hint: Water is 0% vinegar)
Every time I tried to answer this I wasn't getting the same answer as the back of the book. Please help.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = quarts of water to be added
+12+-+x+ = quarts of the 30% vinegar solution
+.3%2A%28+12+-+x+%29+ = quarts of vinegar in the 30% vinegar solution
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+%28+.3%2A%28+12+-+x+%29+%29+%2F+12+=+.25+
+%28+3.6+-+.3x+%29+%2F+12+=+.25+
+3.6+-+.3x+=+3+
+.3x+=+3.6+-+3+
+.3x+=+.6+
+x+=+2+
2 quarts of water are needed
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check the answer:
+%28+.3%2A%28+12+-+x+%29+%29+%2F+12+=+.25+
+%28+.3%2A%28+12+-+2+%29+%29+%2F+12+=+.25+
+%28+.3%2A10+%29+%2F+12+=+.25+
+3+=+.25%2A12+
+3+=+3+
OK