SOLUTION: Susan is mixing 4% butterfat milk with 1% butterfat milk to create 6 quarts of 2% butterfat milk. How many quarts of each will she need?

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Question 361979: Susan is mixing 4% butterfat milk with 1% butterfat milk to create 6 quarts of 2% butterfat milk. How many quarts of each will she need?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent the 4% solutions, then (6-x) represents the 1% solution
.04x + .01(6-x) = .02*6qt
.03x = .01*6
x = 2 qt of 4% solution 0f butter fat milk
(6qt - 2qt) = 4qt 1% solution of butter fat milk
checking our answer
.04*2 + .01*4 = .08 + .04 = .12