Wednesday, February 10, 2010

Time to Check the Antifreeze?

Your vehicle has a radiator with a 21-quart capacity. It is filled with an 18-percent alchohol solution. How many quarts must you remove, to add enough 90-percent alchohol solution, such that the resulting solution contains 42-percent alchohol?

3 Comments:

Blogger Chris said...

7 quarts.

February 10, 2010 8:14 PM  
Blogger Chris said...

Let R be the capacity of the radiator and A be the required amount
of the new anti-freeze, and is the same as the volume of the
mixture we must remove from the radiator.

Require 18(R-A) + 90A = 42R => 72A = 24R => A = R/3.
But R = 21, so A = 7 quarts.

February 10, 2010 8:20 PM  
Blogger Zaux said...

That's correct ... too easy for you

February 10, 2010 8:41 PM  

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