SOLUTION: It is necessary to have a 40% solution in the radiator of a certain car. The radiator now has 50 liters of 20% solution. How many liters of this should be drained and replaced wi

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Question 567908: It is necessary to have a 40% solution in the radiator of a certain car. The radiator now has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
My answer = 20 liters
Thanks!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
It is necessary to have a 40% solution in the radiator of a certain car. The radiator now has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
.
Let x = liters to be drained and replaced w/100% antifreeze
then
.20(50-x) + x = .40(50)
10-.20x + x = 20
10 + .80x = 20
.80x = 10
x = 10/.80
x = 12.5 liters