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

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

Step-by-step explanation:

x=quarts of 6% butterfat

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

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

6x+75-x=3*75

6x+75-x=225

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.

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step-by-step explanation: