SOLUTION: I have 10 liters of a 40% water and 60% ethanol mixture. How much of an unlimited supply of 90% water and 10% ethanol mixture should i add to this mixture in order to dilute it to

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: I have 10 liters of a 40% water and 60% ethanol mixture. How much of an unlimited supply of 90% water and 10% ethanol mixture should i add to this mixture in order to dilute it to       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 891327: I have 10 liters of a 40% water and 60% ethanol mixture. How much of an unlimited supply of 90% water and 10% ethanol mixture should i add to this mixture in order to dilute it to a concentration of 25% ethanol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 10% ethanol mixture to be added
+.6%2A10+=+6+ liters of ethanol in 60% mixture
+%28+6+%2B+.1x+%29+%2F+%28+10+%2B+x+%29+=+.25+
+6+%2B+.1x+=+.25%2A%28+10+%2B+x+%29+
+6+%2B+.1x+=+2.5+%2B+.25x+
+.15x+=+3.5+
+x+=+23.333+
You should add 23 and 1/3 liters of 10% ethanol mixture
check:
+%28+6+%2B+.1%2A23.333+%29+%2F+%28+10+%2B+23.333+%29+=+.25+
++8.333+%2F+33.333+=+.25+
+8.333+=+.25%2A33.333+
+8.333+=+8.333+
OK