# SOLUTION: How many gallons of cream that is 22% butterfat must be mixed with milk that is 2% buttermilk to get 20 gallons of milk containing 4% buttermilk?

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 Question 100268: How many gallons of cream that is 22% butterfat must be mixed with milk that is 2% buttermilk to get 20 gallons of milk containing 4% buttermilk?Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!How many gallons of cream that is 22% butterfat must be mixed with milk that is 2% buttermilk to get 20 gallons of milk containing 4% buttermilk? : Let x = the amt of 22% cream required : the resulting amt required is 20 gal, therefore 2% amt = (20-x) : .22x + .02(20-x) = .04(20); a simple equation : .22x + .40 - .02x = .80; multiplied what's inside the brackets : .22x - .02x = .80 - .40 : .20 = .40 : x = .40/.20 : x = 2 gal of 22% cream required Then 20 - 2 = 18 gal of 2% milk required : : Check solution: .22(2) + .02(18) = .04(20) .44 + .36 =.80; confirms out solution