Question

For an employee training, the employee to instructor ratio is 18 to 2. If there are 24 instructors for the training, how many employees participated in the training?

Answer 1

Answer:

216 employees

Step-by-step explanation:

Given: Ratio of employee to instructor= 18:2

           There are 24 instructors for the training.

Lets assume total number of participant (including employee and instructor) in the training be "x"

First finding the sum of ratio given

Sum of ratio= $18+2= 20$

Now finding proportion of instructor out of total attendance.

∴ Proportion of instructor = $\frac{2}{20} \times x= \frac{2x}{20}$

As given, there are 24 instructor for the training.

Next form an equation to find the value of total participant in training.

⇒$\frac{2x}{20} = 24$

multiplying both side by 20

⇒ $2x= 24\times 20$

dividing both side by 2

⇒ $x= \frac{24\times 20}{2}$

∴$x= 240$

Hence, total number of participant in the training is 240.

Number of employee in the training= $Total\ participant - number\ of\ instructor$

⇒ Number of employee in the training= $240-24= 216\ employee$

Hence, 216 employee participated in the training.