What amount of cream that is 30% butterfat must be mixed with 8 gallons of milk that is 4% butterfat to make a blend that is 14% butterfat?
We have
.30 (x) + .04 (8) = .14 (x + 8) simplify
.30x + .32 = .14x + 1.12 subtract .32 , .14x from both sides
.16x = .80 divide both sides by .16
x = 5 (gallons of 30% butterfat cream)
