Answer:
To determine the relationship between the number of tables and chairs in each row, we need to make some assumptions about the arrangement and spacing of tables and chairs. Let's assume that each table has an equal number of chairs around it, and that there is no extra space between tables. In other words, the tables and chairs are arranged in a continuous row with no gaps in between.
Let's define a variable:
- T: The number of tables in each row.
- C: The number of chairs around each table.
With these assumptions, we can calculate the number of chairs for each scenario:
a) How many chairs will fit around a row of 5 tables?
If there are 5 tables in a row, and each table has an equal number of chairs around it, then you can simply multiply the number of tables by the number of chairs around each table:
C = 5 tables * C chairs/table
Now, we need to know the value of C (the number of chairs around each table) to calculate the total number of chairs. If you have this value, you can calculate it as:
Total Chairs = 5 tables * C chairs/table
b) How many chairs will fit around a row of 11 tables?
Using the same logic as in part (a), if there are 11 tables in a row, you can calculate the total number of chairs by multiplying the number of tables by the number of chairs around each table:
Total Chairs = 11 tables * C chairs/table
c) How many tables are needed to seat 30 chairs?
To determine how many tables are needed to seat 30 chairs, you'll need to rearrange the formula used in parts (a) and (b) to solve for the number of tables (T). The formula becomes:
T = Total Chairs / C chairs/table
Now, plug in the values:
T = 30 chairs / C chairs/table
The value of C (the number of chairs around each table) will depend on the specific arrangement and spacing you have in mind. Once you have that value, you can calculate the number of tables needed to seat 30 chairs using the formula above.
Keep in mind that in practice, the number of chairs around each table may vary depending on factors like table size, chair size, and spacing, so you'll need to specify those details to calculate exact values.
Explanation: