Question

Gallons of milk containing 7% butterfat Gallons containing 1% butterfat

Answer 1

Given:

Requirement of milk in gallons = 330

Let the gallons needed of milk containing 7% butterfat = x

Let the gallons needed of milk containing 1% butterfat = y

To fulfill the requirement,

`x+y=330\ldots\ldots\text{.}(1)`

And,

`0.07x+0.01y=0.06*330\ldots\ldots(2)`

From equation (1),

`y=330-x`

Substitute in (2),

`\begin{gathered} 0.07x+0.01y=0.06*330 \\ 0.07x+0.01(330-x)=0.06*330 \end{gathered}`

Solving further,

`\begin{gathered} 0.07x+3.3-0.01x=19.8 \\ 0.06x=19.8-3.3 \\ 0.06x=16.5 \\ x=(16.5)/(0.06) \\ x=275 \end{gathered}`

Therefore, the gallons required of milk containing 7 % butterfat are 275 and gallons required of milk containing 1% butterfat are 330-275= 55