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Let's analyze the question together:

We are given that:
- Five members of a chess club are going to a tournament.
- The per-person fee this year is AED 25 more than last year's fee, which was AED \( a \).
- The total fee for the five members this year is AED 1,200.
  
The goal is to find which equation correctly represents the situation.

### Explanation:

1. Let \( a \) represent the per-person fee last year.
2. This year's fee per person would be \( a + 25 \) (since it is AED 25 more than last year).
3. There are 5 members, so the total fee this year for all five members would be \( 5 \times (a + 25) \).
4. This total is given as AED 1,200.

Thus, the equation that represents this situation is:
\[
5 \times (a + 25) = 1,200
\]

### Conclusion:
The correct answer is the equation:
\[
\boxed{5(a + 25) = 1,200}
\]

This corresponds to the first option in the multiple-choice answers.

Would you like further details on solving this equation or clarifying the concept?

### Additional questions you might consider:
1. How do you solve for \( a \) once you have the equation \( 5(a + 25) = 1,200 \)?
2. How do we check if our equation is correct by substituting values?
3. What would the fee have been last year, based on this year's total?
4. How would the total change if the fee increased by a different amount, say AED 50?
5. Can you write similar equations for other scenarios with different conditions?

**Tip**: Always define variables clearly to represent unknowns, as it simplifies setting up equations.

Five members of a chess club are going to a tournament. The fee is AED 25 more than last year's per person fee, which was AED a. The total fee for the five members is AED 1,200. What was the per-person fee last year? Which equation represents the situation?

This algebra problem involves calculating the per-person fee from last year for a chess club, based on a given total fee for five members and an increase of AED 25. The problem covers key algebraic concepts like forming and solving linear equations, making it suitable for students in Grades 6-8.

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