Question

A dairy needs 232 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 232 gallons?

Answer 1

Let x = number of gallons of 3% milk and 232 - x = number of gallons of 7% milk.

It is also given that 232 gallons of milk contain 6 percent butterfat.

So, the equation formed is .

0.03x + 0.07(232 - x) = 0.06(232)

0.03x + 16.24 - 0.07x = 13.92

-0.04x = -2.32

Then the value of x is x = 58 gallons.

We need 58 gallons of 3% butterfat milk and 174 gallons of 7% butterfat milk to obtain 232 gallons of 6% butterfat milk.