SOLUTION: How much solution must be drained from a full 35 litre mug of hot chocolate and replaced with pure chocolate syrup to increase the chocolate concentration from 10% to 45%?

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Question 1010509: How much solution must be drained from a full 35 litre mug of hot chocolate and replaced with pure chocolate syrup to increase the chocolate concentration from 10% to 45%?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = litters of solution to be drained off
and replaced with pure chocolate
+.1%2Ax+ = litters of chocolate in solution drained off
+.1%2A35+=+3.5+ litters of chocolate to begin with
-------------------------------------------
+%28+3.5+-+.1x+%2B+x+%29+%2F++35++=+.45+
+3.5+-+.1%2Ax+%2B+x+=+.45%2A35+
+3.5+-+.1%2Ax+%2B+x+=+15.75+
+.9x+=+12.25+
+x+=+13.611+
13.611 litters must be drained off and
replaced with pure chocolate