SOLUTION: FIND HOW MANY QUARTS OF 5% BUTTERFAT MILK AND 1 % BUTTERFAT MILK SHOULD BE MIXED TO YIELD 60 QUARTS OF 4 % BUTTERFAT MILK

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Question 459680: FIND HOW MANY QUARTS OF 5% BUTTERFAT MILK AND 1 % BUTTERFAT MILK SHOULD BE MIXED TO YIELD 60 QUARTS OF 4 % BUTTERFAT MILK
Answer by nerdybill(7384) About Me  (Show Source):
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FIND HOW MANY QUARTS OF 5% BUTTERFAT MILK AND 1 % BUTTERFAT MILK SHOULD BE MIXED TO YIELD 60 QUARTS OF 4 % BUTTERFAT MILK
.
Let x = amount (quarts) of 5% butterfat milk
then
60-x = amount of 1%
.
.05x + .01(60-x) = .04(60)
.05x + .6-.01x = 2.4
.04x + .6 = 2.4
.04x = 1.8
x = 45 quarts (5% butterfat milk)
.
1% butterfat milk:
60-x = 60-45 = 15 quarts