SOLUTION: In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?

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Question 628576: In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = quantity of 20% solution needed ( in any units )
Let +b+ = quantity of 50% solution needed ( in the same units )
+.2a+ = alcohol in 20% solution
+.5b+ = alcohol in 50% solution
given:
+%28+.2a+%2B+.5b+%29+%2F+%28+a+%2B+b+%29+=+.4+
+.2a+%2B+.5b+=+.4%2A%28+a+%2B+b+%29+
+.2a+%2B+.5b+=+.4a+%2B+.4b+
+.2a+=+.1b+
+a%2Fb+=+.1%2F.2+
+a%2Fb+=+1%2F2+
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The ratio of 20% solution to 50% solution should
be 1:2