Respuesta :

Given:

Filled with 12 liter

Butterfat = 4%

Mixture butterfat = 2%

Find-:

How much 1% milk is added

Explanation-:

Let

[tex]x=\text{ Amount of }1\%[/tex]

The total amount is:

[tex]=x+12[/tex]

The amount of butterfat equation is:

[tex]1\%\text{ of }x+4\%\text{ of }(12)=2\%\text{ of }(x+12)[/tex]

Solve for "x"

[tex]\begin{gathered} \frac{1}{100}x+\frac{4}{100}\times12=\frac{2}{100}\times(x+12) \\ \\ 0.01x+0.04\times12=0.02(x+12) \\ \\ 0.01x+0.48=0.02x+0.024 \\ \\ 0.02x-0.01x=0.48-0.24 \end{gathered}[/tex]

Then the value of "x" is:

[tex]\begin{gathered} 0.01x=0.24 \\ \\ x=\frac{0.24}{0.01} \\ \\ x=24 \end{gathered}[/tex]

So, x=24 liters

24 liters of 1% milk required.

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