SOLUTION: how much water should be added to 26 mL of 16% alchohol solution to reduce the concentration of 13%

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Question 426160: how much water should be added to 26 mL of 16% alchohol solution to reduce the concentration of 13%
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = ml of water to be added
+%28+.16%2A26+%29+%2F+%2826+%2B+a%29+=+.13+
+4.16+=+.13%2A%2826+%2B+a%29+
+4.16+=+3.38+%2B+.13a+
+.13a+=+.78+
+a+=+6+
6 ml of water should be added
check:
+%28+.16%2A26+%29+%2F+%2826+%2B+6%29+=+.13+
+%28+.16%2A26+%29+%2F+32+=+.13+
+4.16+=+.13%2A32+
4.16+=+4.16+
OK