To determine how many tables would be needed for 16 people, we can analyze the pattern given in the problem.
The seating arrangement provided is as follows:
- 1 table seats 4 people.
- 2 tables seat 6 people (which suggests each table seats 3 people).
- 3 tables seat 8 people (which suggests each table seats about 2.67 people, but we need to consider whole numbers).
From this information, we can derive a sequence based on how the number of tables increases with the seating capacity:
- For 1 table, seating = 4 people.
- For 2 tables, seating = 6 people. However, this contradicts the first statement, as traditionally, it would suggest 2 tables seating could either be 2 each (total 4) or maybe even 8 total if they are each seating 4.
- For 3 tables, seating = 8 people.
Now, we can simplify this by looking at the number of tables required for specific increased number of people seated. To find a consistent pattern:
- 1 table: 4 people = 1 table
- 2 tables: 6 people = 2 tables (or more conventional estimate could lead us to think per table 3 if we considered it equal share)
- 3 tables: 8 people
Here let's assume that as we progress, let's just focus on deducing for higher numbers: If we note that:
- 4 tables could seat more — could work this out along similar lines.
Let’s examine summing:
4 people at 1 table 6 people at 2 tables — the average here could involve fractional misinterpretations. 8 people at 3 tables — looks like more structured.
Continuing, we'd go: 4 tables = 10 people 5 tables = 12 people 6 tables = 14 people 7 tables = 16 people
Thus, we can conclude: To seat 16 people, you would need 7 tables according to the pattern established.
1 answer