SOLUTION: What quantity of 74% acetic acid solution must be mixed with a 14% acetic acid solution to produce 660 mL of 26% solution?

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Question 1133266: What quantity of 74% acetic acid solution must be mixed with a 14% acetic acid solution to produce 660 mL of 26% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ml of acetic acid solution needed
+.74x+ = ml of acetic acid in 74% solution
+.14%2A%28+660+-+x+%29+ = ml of acetic acid in the 14% solution
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+%28+.74x+%2B+.14%2A%28+660+-+x+%29+%29+%2F+660+=+.26+
+.74x+%2B+92.4+-+.14x+=+.26%2A660+
+.6x+=+171.6+-+92.4+
+.6x+=+79.2+
+x+=+132+
132 ml of the 74% acetic acid solution are needed
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check:
+.74x+=+.74%2A132+
+.74x+=+97.68+
and
+.14%2A%28+660+-+x+%29+=+.14%2A%28+660+-+132+%29+
+.14%2A%28+660+-+x+%29+=+.14%2A528+
+.14%2A%28+660+-+x+%29+=+73.92+
+%28+97.68+%2B+73.92+%29+%2F+660+=+.26+
+171.6%2F660+=+.26+
+.26+=+.26+
OK