SOLUTION: how many quarts of a pure solution must be added to 3.5 quarts of a 5% solution to get a 12.5% solution

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Question 1105143: how many quarts of a pure solution must be added to 3.5 quarts of a 5% solution to get a 12.5% solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = quarts of pure ( 100% ) solution to be added
+.05%2A3.5+=+.175+ = quarts of pure ingredient in 5% solution
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+%28+.175+%2B+x+%29+%2F+%28+3.5+%2B+x+%29+=+.125+
+.175+%2B+x+=+.125%2A%28+3.5+%2B+x+%29+
+.175+%2B+x+=+.4375+%2B+.125x+
+.875x+=+.2625+
+x+=+.3+
0.3 quarts of the pure ( 100% ) solution must be added
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check:
+%28+.175+%2B+x+%29+%2F+%28+3.5+%2B+x+%29+=+.125+
+%28+.175+%2B+.3+%29+%2F+%28+3.5+%2B+.3+%29+=+.125+
+.475+%2F+3.8+=+.125+
+.125+=+.125+
OK