Question

A dairy needs 336 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 336 gallons?

Answer 1

We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.  

How to work with percentages?

Let x = number of gallons of 3% milk

Thus;

336 - x = number of gallons of 7% milk

Therefore;

0.03x + 0.07(336 - x) = 0.06(336)

0.03x + 23.52 - 0.07x = 20.16

-0.04x = -3.36

x = 84 gallons

We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.  

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