SOLUTION: Can you please help me on this equation: How many liters of water are needed to dilate 20 liters of a 5% salt solution to a 1% solution?

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Question 585730: Can you please help me on this equation:
How many liters of water are needed to dilate 20 liters of a 5% salt solution to a 1% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = liters of water needed
given:
+.05%2A20+=+1+ liter of salt in 5% solution
+1+%2F+%28+20+%2B+w+%29+=+.01+
+1+=+.01%2A%28+20+%2B+w+%29+
+1+=+.2+%2B+.01w+
+.01w+=+1+-+.2+
+.01w+=+.8+
+w+=+.8%2F.01+
+w+=+80+
80 liters of water are needed
check:
+1+%2F+%28+20+%2B+w+%29+=+.01+
+1+%2F+%28+20+%2B+80+%29+=+.01+
+1+%2F+100+=+.01+
OK