SOLUTION: How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze?

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Question 13262: How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = amount of water to be added with 0% antifreeze
1 = amount of pure antifreeze at 100%
x+1 = amount of the mixture at 60% antifreeze

0%2A+x+%2B+1.00+%2A+1+=+.60%28x%2B1%29
1 = .60x + .60

Subtract .60 from each side:
1-.60 = .60x
.40 = .60x

Divide both sides by .60:
.40%2F.60+=+%28.60x%29%2F.60+
x+=+.4%2F.6+=+4%2F6+=+2%2F3 gallon.

Check: Total antifreeze = 1 gallon in total mixture of 1 + 2/3 gallon = 5/3 gallons. 1 gallon divided by 5/3 equals 3/5 which is 60%. It checks.

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