SOLUTION: a12-quart cooling system is tested and found filled with a 60% antifreeze solution. The ideal mixture should be a 50% antifreeze solution. How many quarts of solution needs to be

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: a12-quart cooling system is tested and found filled with a 60% antifreeze solution. The ideal mixture should be a 50% antifreeze solution. How many quarts of solution needs to be       Log On


   

Question 590967: a12-quart cooling system is tested and found filled with a 60% antifreeze solution. The ideal mixture should be a 50% antifreeze solution. How many quarts of solution needs to be drained and replaced with pure water to reach the ideal mixture?
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
You want to know what volume, 'v,' is left from the initial draining. We must have (0.6*v)/(v+w)=0.5 for the volume 'w' of water added. We also know that v+w=12. Thus, (0.6/12)*v=0.5 and v=10, so we must drain 12-10=2 quarts of solution and then replace it with water.