Question 678596: Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 45 quarts of 4% butterfat milk. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 45 quarts of 4% butterfat milk.
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Let x = amount (quarts) of 5% milk
then
45-x = amount (quarts) of 2% milk
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.05x + .02(45-x) = .04(45)
.05x + .9-.02x = 1.8
.03x + .9 = 1.8
.03x = .9
x = .9/.03
x = 30 quarts of 5% butterfat milk
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2% butterfat milk:
45-x = 45-30 = 15 quarts
