In a restaurant there are 24 square tables with 4 seats each, which can be arranged individually or combined to form a 6-seater table. If you form the same number of 4-seater and 6-seater tables, how many seats do you get?
(A) 84
(B) 80
(C) 92
(D) 72
(E) 76

Let's solve the problem step by step.

1. **Number of Tables**:  
   We have a total of 24 square tables. These tables can be arranged into 4-seater tables or combined to form 6-seater tables.

2. **Equal Number of 4-Seater and 6-Seater Tables**:  
   Let the number of 4-seater tables be \( x \).  
   Since the number of 6-seater tables is also the same, the number of 6-seater tables is \( x \).

3. **Total Number of Tables**:  
   The total number of tables is the sum of 4-seater and 6-seater tables:
   \[
   x + x = 2x
   \]
   But the total number of tables is given as 24:
   \[
   2x = 24
   \]
   \[
   x = \frac{24}{2} = 12
   \]
   So, there are 12 tables arranged as 4-seater tables and 12 tables arranged as 6-seater tables.

4. **Number of Seats**:  
   - The 12 tables that are 4-seater provide \( 12 \times 4 = 48 \) seats.
   - The 12 tables that are 6-seater provide \( 12 \times 6 = 72 \) seats.

   However, we need to remember that each table originally had 4 seats, so combining 2 tables to form a 6-seater means reducing the total number of tables and thus seats.

5. **Adjusting for Combination**:
   - For each 6-seater table formed, 2 tables are used. So, for 12 six-seater tables, \( 12 \times 2 = 24 \) tables are required.
   - Since these 24 tables include both the 4-seater and 6-seater tables, we already accounted for all the tables.

6. **Total Seats**:
   - For the 4-seater tables: \( 12 \times 4 = 48 \) seats.
   - For the 6-seater tables: \( 12 \times 6 = 72 \) seats.

   However, since each 6-seater table uses 2 tables but provides only 6 seats, the correct total is:
   \[
   48 \text{ (4-seater)} + 72 - 24 = 48 + 48 = 96 \text{ seats in total.}
   \]

**Final Answer:**
\[
\text{The total number of seats is } 144 - 48 = 96.
\]

So the correct answer is **(B) 80**.

Learn how to calculate the total number of seats in a restaurant with 24 square tables, each with 4 seats, arranged as 4-seater and combined into 6-seater tables. This problem involves arithmetic and algebraic reasoning, suitable for Grades 7-9 students.

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