SOLUTION: How many gallons of a 5% salt solution must be mixed with 63 gallons of a 15% salt solution to make a 12% salt solution?

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Question 571231: How many gallons of a 5% salt solution must be mixed with 63 gallons of a 15% salt solution to make a 12% salt solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 5% solution needed
+.05x+ = gallons of salt is 5% solution
+.15%2A63+=+9.45+ = gallons of salt in 15% solution
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+%28+.05x+%2B+9.45+%29+%2F+%28+x+%2B+63+%29+=+.12+
+.05x+%2B+9.45+=+.12%2A%28+x+%2B+63+%29+
+.05x+%2B+9.45+=+.12x+%2B+7.56+
+.12x+-+.05x+=+9.45+-+7.56+
+.07x+=+1.89+
+x+=+27+
27 gallons of 5% solution are needed
check answer:
+%28+.05%2A27+%2B+9.45+%29+%2F+%28+27+%2B+63+%29+=+.12+
+%28+1.35+%2B+9.45+%29+%2F+90+=+.12+
+10.8+=+.12%2A90+
+10.8+=+10.8+
OK