SOLUTION: How many quarts of pure antifreeze should mr. Alberts add to 10 quarts of a 20% antifreeze solution to make a 50% solution?

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Question 190383: How many quarts of pure antifreeze should mr. Alberts add to 10 quarts of a 20% antifreeze solution to make a 50% solution?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


First condition,
(100%)(AF) + (20%)(10qts) = (50%)(S) -----> Eqn 1

Also we know, AF + 10 qts = S ------> Eqn 2


Substitute Eqn 2 in Eqn 1:

%281%29%28AF%29%2B%280.20%29%2810%29=%280.50%29%28AF%2B10%29
AF%2B2=0.50%28AF%29%2B5
AF-0.50%28AF%29=5-2
0.50%28AF%29=3 ----> cross%280.50%29AF%2Fcross%280.50%29=cross%283%296%2Fcross%280.50%29
AF = 6 qts , amount of 100% AF needed


We get the total Solution, (via Eqn 2):
S=6%2B10
red%28S=16qts%29


Let us check,
%281%29%286%29%2B0.20%2810%29=0.50%2816%29
6%2B2=8qts
8qts=8qts


Thank you,
Jojo