SOLUTION: A 10% salt solution is to be mixed with pure water to produce 75 gallons of a 3% salt solution. How much of each are needed?

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Question 857786: A 10% salt solution is to be mixed with pure water to produce 75 gallons of a 3% salt solution. How much of each are needed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = gallons of pure water to be added
+75+-+w+ = gallons of 10% salt solution
+.1%2A%28+75+-+w+%29+ = gallons of salt in 10% solution
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+%28+.1%2A%28+75+-+w+%29%29+%2F+75+=+.03+
+%28+7.5+-+.1w+%29+%2F+75+=+.03+
+7.5+-+.1w+=+.03%2A75+
+7.5+-+.1w+=+2.25+
+.1w+=+5.25+
+w+=+52.5+
+75+-+w+=+22.5+
52.5 gallons of pure water need to be added
22.5 gallons of 10% salt solution need to be added
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check:
+%28+.1%2A%28+75+-+w+%29%29+%2F+75+=+.03+
+%28+.1%2A%28+75+-+52.5+%29%29+%2F+75+=+.03+
+%28+7.5+-+5.25+%29+%2F+75+=+.03+
+2.25+=+.03%2A75+
+2.25+=+2.25+
OK