Question

Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.

Answer 1

Answer:

30 gallons of 6% milk, and 45 gallons of 1% milk.

Step-by-step explanation:

x=quarts of 6% butterfat

First, write an equation.

0.06x+0.01(75-x)=0.03*75

Multiply both sides by 100.

0.06x*100+0.01*100(75-x)=100*0.03*75

Simplify

6x+75-x=3*75

6x+75-x=225

Solve

5x=225-75=150

5x=150

x=30

75-30=45

So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.

Answer 2

30 gallons of 6% milk and 45 gallons of 1% milk.