The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.
Explanation
Suppose, the amount of milk containing 6% butterfat is [tex]x[/tex] gallons
As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be: [tex](325-x)[/tex] gallons
Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....
[tex]0.06x+0.01(325-x)=0.05*325\\ \\ 0.06x+3.25-0.01x=16.25\\ \\ 0.05x= 13\\ \\ x= \frac{13}{0.05}=260[/tex]
So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.
