Problema Solution

A dairy needs 360 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 360 gallons?

Answer provided by our tutors

let


x = gal of the 7% butterfat milk


y = gal of the 3% butterfat milk


A dairy needs 360 gallons of milk containing 6% butterfat:


x + y = 360


0.07x + 0.03y = 0.06*360


by solving the above system of equations:


x = 270 gal


y = 90 gal


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270 gallons of the 7% butterfat milk and 90 gallons of the 3% butterfat milk should be used.