To find out how many salespersons are responsible for 5 clients when there are 5 salespersons and 22 clients, we can set up a simple equation.
Let x be the number of salespersons responsible for 5 clients.
Since the clients are divided as equally as possible among the salespersons, we can divide the total number of clients by the total number of salespersons to find the average number of clients each salesperson is responsible for:
\( \text{Average number of clients per salesperson} = \frac{22 \text{ clients}}{5 \text{ salespersons}} = 4.4 \text{ clients per salesperson} \)
Since each salesperson can't be responsible for a fraction of a client, we need to find the number of salespersons responsible for 5 clients. This can be done by dividing the total number of clients (22) by the desired number of clients per salesperson (5):
\( x = \frac{22 \text{ clients}}{5 \text{ clients per salesperson}} = 4.4 \text{ salespersons} \)
However, since we can't have a fraction of a salesperson, we need to round up to the nearest whole number. This means that 5 salespersons are responsible for 5 clients.