SOLUTION: a 9 gallon solution with 60% sugar is added with another solution with 90% sugar to make a mix of 85% . What is the number of gallons for the 2nd solution? i got 36 is that corre

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Question 412657: a 9 gallon solution with 60% sugar is added with another solution with 90% sugar to make a mix of 85% . What is the number of gallons for the 2nd solution?
i got 36 is that correct?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28.6%2A9+%2B+.9a%29%2F%289+%2B+a%29+=+.85
+5.4+%2B+.9a+=+.85%2A%289+%2B+a%29
+5.4+%2B+.9a+=+7.65+%2B+.85a
+.05a+=+2.25
a+=+45 gallons
check answer:
%28.6%2A9+%2B+.9%2A45%29%2F%289+%2B+45%29+=+.85
%28+5.4+%2B+40.5%29%2F54+=+.85
+45.9%2F54+=+.85
45.9+=+45.9
OK