SOLUTION: How much water must be evaporated from 17 qt of a 55% antifreeze solution to produce a 85% solution?

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Question 574952: How much water must be evaporated from 17 qt of a 55% antifreeze solution to produce a 85% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.55%2A17+=+9.35+ quarts of antifreeze in 55% solution
+17+-+9.35+=+7.65+ quarts of water in 55% solution
Let +x+ = quarts of water to be evaporated
given:
+9.35+%2F+%28+17+-+x+%29++=+.85+
+9.35+=+.85%2A%28+17+-+x+%29+
+9.35+=+14.45+-+.85x+
+.85x+=+14.45+-+9.35+
+.85x+=+5.1+
+x+=+5.1%2F.85+
+x+=+6+
6 quarts of water should be evaporated
check:
+7.65+-+6+=+1.65+ quarts of water left
+1+-+.85+=+.15+
+1.65+%2F+%28+17+-+6+%29+=+1.65%2F11+
+1.65%2F11+=+.15+
The water left is 15% of the solution
OK