Problema Solution

Cream is approximately 22% butterfat. How many gallons of cream must be mixed with milk testing at 2% butterfat to get 70 gallons of milk containing 4% butterfat?

Answer provided by our tutors

let


x = gal of cream that has approximately 22% butterfat


y = gal of milk that has 2% butterfat


x + y = 70


0.22x + 0.02y = 0.04*70


by solving the above system of equations we find:


x = 7 gal


y = 63 gal


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7 gallons of cream must be mixed with 63 gallons of milk.