Problema Solution
How many gallons of cream that is 22% butterfat must be mixed with milk that is 2% butterfat to get 40 gallons of milk containing 4% butterfat?
Answer provided by our tutors
let
c = gal of cream that is 22% butterfat
m = gal of milk that is 2% butterfat
c + m = 40
gal of fat in c + gal of fat in m = 0.04 fat in 40 gal
0.22*c + 0.02m = 0.04*40
by solving the system of equations
c + m = 40
0.22*c + 0.02m = 0.04*40
we find
c = 4 gal
m = 36 gal
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4 gallons of cream that is 22% butterfat and 36 gallons of milk that is 2% butterfat must be mixed to get 40 gallons of milk containing 4% butterfat.