Problema Solution

a dairy needs 300 gallons of milk containing 4% butterfat. How many gallons each of milk contaiing 5% butterfat and milk containing 2% butterfat must be used to obtain the desired 300 gallons

Answer provided by our tutors

let  x and 100-x  be milk contaiing 5% butterfat and milk containing 2% butterfat

0.05x  +0.02 y= 300 * 0.04

0.05x  +0.02 (100 -x )=12

0.05 x + 2 -0.02x=12

0.03x =10

x=333.33  milk contaiing 5% butterfat