Explanation:

- The original mixture is made of 5 parts water and 11 parts syrup.

- Total parts of mixture = 5 + 11 = 16.

- We want the final mixture to have a water to syrup ratio of 3:2.

- Let x be the fraction of the mixture drawn off.

- After drawing x fraction and replacing with water:

- Water becomes: \(5 \times (1-x) + 16x\).

- Syrup becomes: \(11 \times (1-x)\).

- Ratio condition: \(\frac{5(1-x) + 16x}{11(1-x)} = \frac{3}{2}\).

- Solving gives \(x = \frac{7}{55}\).

Therefore, the correct answer is:

Option 4: 7/55