SOLUTION: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze 100% with an appropriate amount of a 40% antifreeze solut

Question 349721: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze 100% with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
I have tried to set the equation many times but can not come to a complete equation.
I have tried .100x +.40x =20, but realize that .100 does not equal 100%
I have tried x+x = 20 but realize that there should be more of the 40% solution than the 100% solution.
what is the best wayto set up the equation?
thanks
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
where x is the amount of 100% antifreeze

(100%)(x) + (40%)(20-x) = (50%)(20)
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