Problema Solution
The cooling system of a certain car has a capacity of 4 gallons and is currently filled with a 45% antifreeze mixture. How much of this mixture must be drained and replaced with pure antifreeze so that the resulting mixture is 67% antifreeze?
Answer provided by our tutors
We can write:
.45 (4-x)+1(x)=.67(4)
Where '4-x', 'x' and '4' are the amounts of .45, 1, and .67 antifreeze. Also note that 'x' is also the amount of the 45% mixture that needs to be drained.
Using Algebrator to solve for 'x', we get:
x=1.6 gallons