Given that Mrs Jones has 4 dogs and she has 8 1/6 pounds of food.
Let x represent the amount of food each dog will eat.
Then it can be represented by the equation;
![4x=8(1)/(6)](https://img.qammunity.org/2023/formulas/mathematics/college/phx871x0rxr3jgt2r14cuul48occan4esz.png)
to solve for x, let us divide both sides by 4;
![\begin{gathered} (4x)/(4)=(8(1)/(6))/(4) \\ x=2(1)/(24) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/gqt6l1yc9clzxcw2latf0gtfjuwyp9drwn.png)
Therefore, the amount of food each dog will eat is;
![2(1)/(24)\text{ pounds}](https://img.qammunity.org/2023/formulas/mathematics/college/uozsji6r86i2z6ozxrlzbs33wqch2202nr.png)