Eric W.

asked • 10/08/14

Need help with this college algebra word problem in my Math 111 class. Thanks :)

A mechanic is working on a car with a 20-qt radiator containing a 60% antifreeze solution. How much of the solution should he drain and replace with pure water to get a solution that is 50% antifreeze?

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Byron S. answered • 10/08/14

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Eric W.

Sorry it's not 60% filled. It's filled all the way with a 60% antifreeze solution.
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10/08/14

Byron S.

Yes, I understand that. The amount of antifreeze in the system is what you're interested in, so you don't need to calculate how much water is already there, though you could.
 
In the first step, finding out there's 12 qt of antifreeze means the rest is 8 qt of water.
 
You need to remove 2 qt of antifreeze to make it half antifreeze, but some water will come with it. I was leaving the last step up to you to figure out how much total solution had to be removed in order to remove 2 qt of antifreeze. Clearly, you'll need to remove more than 2 qt of solution.
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10/08/14

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