Problema Solution

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

Answer provided by our tutors

let


x = quarts of 5% butterfat milk

y = quarts of 2% butterfat milk


the mix is 45 quarts of 4% butterfat milk


x + y = 45


0.05x + 0.02y = 0.04*45


by solving the system of equations we find


x = 30 quarts


y = 15 quarts


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30 quarts of 5% butterfat milk and 15 quarts of 2% butterfat milk should be mixed.