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A dairy keeps two kinds of milk on hand, skim milk that has 0.2% butterfat and whole
milk that has 3.4% butterfat. How many gallons of each type of milk does a company
need to produce 260 gallons of 1% milk for a grocery store?
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Let "x" be the volume of the 0.2% butterfat milk needed.
Then the volume of the 3.4% butterfat milk needed is (260-x).
The butterfat content equation is
0.002x + 0.034*(260-x) = 260*0.01.
Multiply both sides by 1000. You will get an equivalent equation
2x + 34*(260-x) = 2600.
Simplify and solve it:
2x + 8840 - 34x = 2600,
-32x = 2600 - 8840 = -6240,
x = 
= 195.
Answer. 195 gallons of the 0.2% butterfat milk and (260-195) = 65 gallons of the 3.4% butterfat milk.
