SOLUTION: How many liters of water must be added to 8 liters of a 40% salt solution to obtain a 10% salt solution?

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Question 720619: How many liters of water must be added to 8 liters of a 40% salt solution to obtain a 10% salt solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = liters of water to be added
+.4%2A8+=+3.2+ liters of salt in 40% solution
-----------
+3.2+%2F+%28+8+%2B+w+%29+=+.1+
+3.2+=+.1%2A%28+8+%2B+w+%29+
+3.2+=+.8+%2B+.1w+
+.1w+=+2.4+
+w+=+24+
24 liters of water must be added
check:
+3.2+%2F+%28+8+%2B+24+%29+=+.1+
+3.2+%2F+32+=+.1+
+3.2+=+3.2+
OK