SOLUTION: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solu

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Question 203665: Angela needs 20 quarts of 50%
antifreeze solution in her radiator. She plans to obtain this
by mixing some pure antifreeze with an appropriate
amount of a 40% antifreeze solution. How many quarts of
each should she use?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
needs 20 quarts of 50% antifreeze solution in her radiator.
plans to obtain this by mixing some pure antifreeze with an appropriate
amount of a 40% antifreeze solution. How many quarts of antifreeze?
:
Let x = amt of pure antifreeze
The resulting amt is to be 20 qts, therefore
(20-x) = amt of 40% solution required
:
A typical mixture problem
:
x + .40(20-x) = .50(20)
;
x + 8 - .4x = 10
:
x - .4x = 10 - 8
:
.6x = 2
x = 2%2F.6
x = 31%2F3 qts of pure anti-freeze
and
20 - 31%2F3 = 162%2F3 qts of 40% mixture