The equation \( 8(n + 6) = 104 \) can be interpreted in several real-world contexts. One possible scenario could be as follows:
Scenario: Party Planning
Imagine you are planning a party and need to arrange seating and catering. You discover that you need to set up tables for a certain number of guests.
- Let \( n \) represent the number of additional guests you plan to invite beyond a base number.
- The number 6 represents the 6 guests that you already have confirmed.
- The 8 represents the number of tables you have available, and each table can accommodate \( n + 6 \) guests.
- The total number of guests that can be accommodated at the party is 104.
Thus, the equation \( 8(n + 6) = 104 \) represents the situation where the total capacity of all available tables (8 tables seating \( n + 6 \) guests each) must equal the total number of guests you expect to host (104 guests).
In this way, the equation is grounded in a practical context of event management or planning.