SOLUTION: How many gallons of a 2% salt solution must be mixed with 15 gallons of a 18% solution to obtain a 10% solution?

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Question 575449: How many gallons of a 2% salt solution must be mixed with 15 gallons of a 18% solution to obtain a 10% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 2% solution needed
+.18%2A15+=+2.7+ gallons of salt in 18% solution
+.02x+ = gallons of salt in 2% solution
------------
+%28+.02x+%2B+2.7+%29+%2F+%28+x+%2B+15+%29+=+.1+
+.02x+%2B+2.7+=+.1%2A%28+x+%2B+15+%29+
+.02x+%2B+2.7+=+.1x+%2B+1.5+
+.08x+=+2.7+-+1.5+
+.08x+=+1.2+
+x+=+15+
15 gallons of 2% solution are needed
check:
+%28+.02x+%2B+2.7+%29+%2F+%28+x+%2B+15+%29+=+.1+
+%28+.02%2A15+%2B+2.7+%29+%2F+%28+15+%2B+15+%29+=+.1+
+3+%2F+30+=+.1+
+3+=+.1%2A30+
+3+=+3+
OK