SOLUTION: A tank holds 140 liters of checmical solution. Currently the solution has a strength of 60%. How much of this should be drained and replaced with 100% solution to get a final str

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Question 658888: A tank holds 140 liters of checmical solution. Currently the solution has a strength of 60%. How much of this should be drained and replaced with 100% solution to get a final strength of 80%?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For clarity, I'll just suppose the solution
is water plus antifreeze, so it's 60%
antifreeze.
--------------------
given:
+.6%2A140+=+84+ liter of antifreeze in 60% solution
Let +x+ = liters of 60% antifreeze to be drained
and repaced with 100% antifreeze
( note there is 140 liters when you start
and 140 liters when you finish )
--------------------
+%28+84+-+.6x+%2B+x+%29+%2F+140+=+.8+
+84+%2B+.4x+=+.8%2A140+
+84+%2B+.4x+=+112+
+.4x+=+28+
+x+=+70+
70 liters of solution must be drained and
replaced with 100% solution