Find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk

We need 75 quarts of 3% butterfat milk. How much of 2% and 5% do we need to mix? (t = 2% and f = 5%)

A) t + f = 75

B) .02 t + .05 f = (.03 * 75)

B) .02 t + .05 f = 2.25

Solving for t and f:

t = 50 quarts of 2 % and

f = 25 quarts of 5%

Double-Check

50 * .02 = 1 quart of buttermilk

25 * .05 = 1.25 quarts of buttermilk

2.25 quarts divided by 75 quarts = 3 % buttermilk