Question

Find how many quarts of 6% butterfat milk and 2% butterfat milk should be mixed to yield 80 quarts of 5% butterfat milk.

The mixture should contain quarts of the 6% butterfat milk.
The mixture should contain quarts of the 2% butterfat milk.

Answer 1

60 quarts of the 6% butterfat milk and 20 quarts of the 5% butterfat milk

Explanation:

Set up an equation where x is the number of quarts of 6% butterfat milk:

(0.06)(x) + (0.02)(80 - x) = 80(0.05)

Simplify and solve for x:

0.06x - 0.02x + 1.6 = 4

0.04x + 1.6 = 4

0.04x = 2.4

x = 60

So, there needs to be 60 quarts of the 6% butterfat milk.

Since the total amount will be 80 quarts, this means there needs to be 20 quarts of the 5% butterfat milk.

So, the mixture should contain 60 quarts of the 6% butterfat milk and 20 quarts of the 5% butterfat milk.