Problema Solution

The dairy man has milk with 5% butterfat and cream with 20% butterfat. How much of each ingredient must be mixed to make 30 gallons with 6% butterfat?

Answer provided by our tutors

let


x = gal of the milk with 5% butterfat

y = gal of the cream with 20% butterfat


the mix is 30 gallons with 6% butterfat:


x + y = 30


0.05x + 0.20y = 0.06*30


by solving the above system of equations we find


x = 28 gal


y = 2 gal


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28 gallons of the milk with 5% butterfat and 2 gallons of the cream with 20% butterfat must be mixed.