SOLUTION: how many quarts of pure antifreeze must be added to 2 quarts of 20% antifreeze solution to obtain a 40% antifreeze solution?

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Question 784163: how many quarts of pure antifreeze must be added to 2 quarts of 20% antifreeze solution to obtain a 40% antifreeze solution?
Answer by lwsshak3(11628) About Me  (Show Source):
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how many quarts of pure antifreeze must be added to 2 quarts of 20% antifreeze solution to obtain a 40% antifreeze solution?
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let x=amount of pure antifreeze to be added
20%*2+100%x=40%(2+x)
.4+x=.8+.4x
0.6x=0.4
x=.4/.6=2/3
amount of pure antifreeze to be added=2/3 quart