Question

Sundance Dairy has 200 quarts of whole milk containing 6% butterfat. How many quarts of low-fat milk containing 1.5% butterfat should be added to produce milk containing 2.4% butterfat?

Answer 1

800 quarts of low-fat milk should be added.

Explanation:

Let x be the number of quarts of low-fat milk to be added.

We can set up the equation:

0.06(200) + 0.015x = 0.024(200 + x)

Simplifying the equation, we get:

12 + 0.015x = 4.8 + 0.024x

0.009x = 7.2

x = 800

Therefore, 800 quarts of low-fat milk should be added to produce milk containing 2.4% butterfat.