SOLUTION: How much pure acid should be mixed with 55 gallons of aa 40 %40% acid solution in order to get 50% acid​ solution?

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Question 995979: How much pure acid should be mixed with 55 gallons of aa 40 %40% acid solution in order to get 50% acid​ solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of pure acid to be added
+.4%2A55+=+22+ gallons of pure acid in 40% solution
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+%28+x+%2B+22+%29+%2F+%28+x+%2B+55+%29+=+.5+
+x+%2B+22+=+.5%2A%28+x+%2B+55+%29+
+x+%2B+22+=+.5x+%2B+27.5+
+.5x+=+5.5+
+x+=+11+
11 gallons of pure acid needs to be added
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check:
+%28+x+%2B+22+%29+%2F+%28+x+%2B+55+%29+=+.5+
+%28+11+%2B+22+%29+%2F+%28+11+%2B+55+%29+=+.5+
+33%2F66+=+.5+
+.5+=+.5+
OK