Problema Solution
The cooling system of a car has a capacity of 25 liters. If the system is currently filled with the mixture that is 60% antifreeze, how much of this mixture should be drained and replaced with pure antifreeze so that the system is filled with a solution that is 90% antifreeze?
Answer provided by our tutors
We can write:
.6x+1(25-x)=.9(25)
where 'x', '25-x', and '25' represent the liters of '.6', '1', and '.9' antifreeze solutions respectively.
Using Algebrator to solve for 'x', we get:
x=6.25liters
This is the amount of the 60% solution needed. Therefore '25-6.25', 18.75 liters, would have to be drained.