SOLUTION: How many liters of a 50% acid solution must be added to 10 liters of a 15% acid solution to produce a 25% acid solution?

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Question 625229: How many liters of a 50% acid solution must be added to 10 liters of a 15% acid solution to produce a 25% acid solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 50% acid solution needed
+.5x+ = liters of acid in 50% solution
+.15%2A10+=+1.5+ liters of acid in 15% solution
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+%28+.5x+%2B+1.5+%29+%2F+%28+x+%2B+10+%29+=+.25+
+.5x+%2B+1.5+=+.25%2A%28+x+%2B+10+%29+
+.5x+%2B+1.5+=+.25x+%2B+2.5+
+.25x+=+2.5+-+1.5+
+.25x+=+1+
+x+=+4+
4 liters of 50% acid solution are needed
check:
+%28+.5x+%2B+1.5+%29+%2F+%28+x+%2B+10+%29+=+.25+
+%28+.5%2A4+%2B+1.5+%29+%2F+%28+4+%2B+10+%29+=+.25+
+3.5+%2F+14+=+.25+
+3.5+=+.25%2A14+
+3.5+=+3.5+
OK