SOLUTION: How many liters of water must be added to 26 liters of a 15% antifreeze solution to dilute it to a 12% solution?

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Question 1024017: How many liters of water must be added to 26 liters of a 15% antifreeze solution to dilute it to a 12% solution?
Found 2 solutions by robertb, josmiceli:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
0.15*26+0*x = 0.12(26+x)
==> 3.9 = 3.12 + 0.12x
==> 0.78 = 0.12x
==> 6.5 = x, the amount of water in liters to add.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = liters of water to be added
+.15%2A26+=+3.9+ = liters of antifreeze in 15% solution
-------------------
+3.9+%2F+%28+w+%2B+26+%29+=+.12+
+3.9+=+.12%2A%28+w+%2B+26+%29+
+3.9+=+.12w+%2B+3.12+
+.12w+=+.78+
+w+=+6.5+
6.5 liters of water must be added
------------------
check:
+3.9+%2F+%28+w+%2B+26+%29+=+.12+
+3.9+%2F+%28+6.5+%2B+26+%29+=+.12+
+3.9+%2F+32.5+=+.12+
+3.9+=+.12%2A32.5+
+3.9+=+3.9+
OK