SOLUTION: how many quarts of pure antifreeze must be added to two quarts of a 30% anitfreeze solution to obtain a 50% anitfreeze solution?

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Question 578751: how many quarts of pure antifreeze must be added to two quarts of a 30% anitfreeze solution to obtain a 50% anitfreeze solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = quarts of pure antifreeze to be added
given:
+.3%2A2+=+.6+ quarts of pure antifreeze in 30% solution
+%28+x+%2B+.6+%29+%2F+%28+x+%2B+2+%29+=+.5+
+x+%2B+.6+=+.5%2A%28+x+%2B+2+%29+
+x+%2B+.6+=+.5x+%2B+1+
+.5x+=+.4+
+x+=+.8+
.8 quarts of pure antifreeze must be added
check:
+%28+.8+%2B+.6+%29+%2F+%28+.8+%2B+2+%29+=+.5+
+1.4+%2F+2.8+=+.5+
+1.4+=+.5%2A2.8+
+1.4+=+1.4+
OK