SOLUTION: Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 45 quarts of 4% butterfat milk.

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.
.
Let x = amount (quarts) of 5% milk
then
45-x = amount (quarts) of 2% milk
.
.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
.
2% butterfat milk:
45-x = 45-30 = 15 quarts

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