Explanation:

- Let's denote the total capacity of the container as \( C \) bottles of milk.

- Initially, the container was \(\frac{3}{4}\) full. So, it had \(\frac{3}{4}C\) bottles of milk.

- After removing 5 bottles, the amount of milk left is \(\frac{3}{4}C - 5\).

- Then, 3 bottles were added, making it \(\frac{3}{4}C - 5 + 3 = \frac{3}{4}C - 2\).

- After this, the container was \(\frac{2}{3}\) full. So, \(\frac{3}{4}C - 2 = \frac{2}{3}C\).

- Solving the equation \(\frac{3}{4}C - 2 = \frac{2}{3}C\):

$$

\frac{3}{4}C - \frac{2}{3}C = 2

$$

$$

\frac{9C - 8C}{12} = 2

$$

$$

C = 24

$$

- Option:1, 12 - Incorrect as it doesn’t satisfy the equation.

- Option:2, 24 - This satisfies the equation, so it is the correct answer.

- Option:3, 20 - Incorrect as it doesn’t satisfy the equation.

- Option:4, 15 - Incorrect as it doesn’t satisfy the equation.

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