SOLUTION: A car radiator has a 6-liter capacity. If the liquid in the radiators 40% antifreeze, how much liquid must be replaced with pure antifreeze to bring the mixture up to a 50% solutio

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A car radiator has a 6-liter capacity. If the liquid in the radiators 40% antifreeze, how much liquid must be replaced with pure antifreeze to bring the mixture up to a 50% solutio      Log On


   

Question 310584: A car radiator has a 6-liter capacity. If the liquid in the radiators 40% antifreeze, how much liquid must be replaced with pure antifreeze to bring the mixture up to a 50% solutions? If I told you the answer is 1 liter, in your own words, using complete sentences explain how you would solve this problem.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A car radiator has a 6-liter capacity.
If the liquid in the radiators 40% antifreeze,
how much liquid must be replaced with pure antifreeze to bring the mixture up to a 50% solutions?
:
x = amt to be removed
and
x = amt of pure antifreeze required to replace it
:
.40(6-x) + x = .50(6)
:
2.4 - .4x + x = 3
:
-.4x + x = 3 - 2.4
:
.6x = .6
x = .6%2F.6
x = 1 liter removed and 1 liter of pure antifreeze added