SOLUTION: How much water should be added to 24ML of 16% alcohol solution to reduce the concentration to 12%?

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Question 617492: How much water should be added to 24ML of 16% alcohol solution to reduce the concentration to 12%?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How much water should be added to 24ML of 16% alcohol solution to reduce the concentration to 12%?
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water + water = water
0.84*24 + x = 0.88(24+x)
84*24 + 100x = 88*24 + 88x
12x = 4*24
x = 8 ml (amt. of water needed)
=====================================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = ml of water to be added
given:
+.16%2A24+=+3.84+ ml alcohol in 16% solution
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+3.84+%2F+%28+w+%2B+24+%29+=+.12+
+3.84+=+.12%2A%28+w+%2B+24+%29+
+3.84+=+.12w+%2B+2.88+
+.12w+=+3.84+-+2.88+
+.12w+=+.96+
+w+=+8+
8 ml of water must be added
check:
+3.84+%2F+%28+w+%2B+24+%29+=+.12+
+3.84+%2F+%28+8+%2B+24+%29+=+.12+
+3.84+%2F+32+=+.12+
+3.84+=+3.84+
OK