A company policy requires that, for every 30 employees, there must be 3 supervisors. If there are 282 supervisors at the company, how many employees does the company have?

Question

A.
3,384
B.
1,410
C.
2,538
D.
2,820

Answer 1

To find the number of employees in the company based on the given ratio of supervisors to employees, we begin by establishing the ratio of supervisors to employees:

For every 3 supervisors, there are 30 employees.

Next, we can express the relationship in terms of a multiplier \( x \):

• Number of Supervisors = \( 3x \)
• Number of Employees = \( 30x \)

According to the problem, there are 282 supervisors in the company. Hence, we can set up the equation:

\[ 3x = 282 \]

To find \( x \), we divide both sides of the equation by 3:

\[ x = \frac{282}{3} = 94 \]

Now we can find the number of employees using the equation for employees:

\[ \text{Number of Employees} = 30x = 30 \times 94 = 2820 \]

Thus, the total number of employees in the company is:

\[ \boxed{2820} \]