Question

Please help me quickly, work is needed but make it simple and easy, thank you!

Answer 1

Given:

Filled with 12 liter

Butterfat = 4%

Mixture butterfat = 2%

Find-:

How much 1% milk is added

Explanation-:

Let

$x=\text{ Amount of }1\%$

The total amount is:

$=x+12$

The amount of butterfat equation is:

$1\%\text{ of }x+4\%\text{ of }(12)=2\%\text{ of }(x+12)$

Solve for "x"

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

Then the value of "x" is:

$\begin{gathered} 0.01x=0.24 \\ \\ x=\frac{0.24}{0.01} \\ \\ x=24 \end{gathered}$

So, x=24 liters

24 liters of 1% milk required.