SOLUTION: How many quarts of water must be added to 13qt of a 80% antifreeze solution to make a 65% antifreeze solution?

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Question 755847: How many quarts of water must be added to 13qt of a 80% antifreeze solution to make a 65% antifreeze solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = quarts of water to be added
+.8%2A13+=+10.4+ = quarts of antifreeze in 80% solution
--------------------
+10.4+%2F+%28+w+%2B+13+%29+=+.65+
+10.4+=+.65%2A%28+w+%2B+13+%29+
+10.4+=+.65w+%2B+8.45+
+.65w+=+1.95+
+w+=+3+
3 quarts of water need to be added
check:
+10.4+%2F+%28+w+%2B+13+%29+=+.65+
+10.4+%2F+%28+3+%2B+13+%29+=+.65+
+10.4+%2F+16+=+.65+
+10.4+=+.65%2A16+
+10.4+=+10.4+
OK