Chapter 8.2, Problem 3GP

To determine

To Find:How many tables are needed for 22 people.

Answer to Problem 3GP

Therequired number of tables are 5.

Explanation of Solution

Given information:

  

The figure shows the number of people seated in a hexagonal table.

Calculation:

Number of tables (n)	1	2	3
Number of people (t)	6	10	14

The pattern in the table shows the equation $t=4n+2$

Using the equation to find the number of tables needed for 22 people.t= 22

  $\begin{array}{l}22=4n+2\\ \Rightarrow 22-2=4n+2-2\\ \Rightarrow 20=4n\\ \Rightarrow \frac{20}{4}=\frac{4n}{4}\\ \Rightarrow n=5\end{array}$