SOLUTION: How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to het a 50% acid solution?

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Question 754316: How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to het a 50% acid solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 40% solution needed
+.4x+ = gallons of acid in 40% solution
+.6%2A2+=+1.2+ gallons of acid in 60% solution
-----------------
+%28+.4x+%2B+1.2+%29+%2F+%28+2+%2B+x+%29+=+.5+
+.4x+%2B+1.2+=+.5%2A%28+2+%2B+x+%29+
+.4x+%2B+1.2+=+1+%2B+.5x+
+.1x+=+.2+
+x+=+2+
2 gallons of 40% solution are needed
check:
+%28+.4x+%2B+1.2+%29+%2F+%28+2+%2B+x+%29+=+.5+
+%28+.4%2A2+%2B+1.2+%29+%2F+%28+2+%2B+2+%29+=+.5+
+2+%2F+4+=+.5+
+2+=+2+
OK