Question

22. Model each situation below with an equation. Select the correct equation for each situation. Then solve each problem. A. A company employs 72 workers. It plans to increase the number of employees by 6 per month until it has twice its current workforce. How many months will it take to double the number of employees?

Answer 1

The equation representing the the scenario is
`72+6m=144`.

It will take 12 month for the company to doubled the number of employees.

Explanation:

Given:

Number of employees in the company =72

Number of employee increase per month = 6

We need to find the number of months required to double the number of employees.

Solution:

Doubled number of employees =
`2*` Number of employees = 144

Let the number of months be 'm'

So we can say that;

Doubled number of employees is equal to Current number of employees in the company plus Number of employee increase per month multiplied by number of months.

framing in equation form we get;

`72+6m=144`

Hence The equation representing the the scenario is
`72+6m=144`.

On solving the above equation we get;

we will subtract both side by 72 we get;

`72+6m-72=144-72\\\\6m=72`

Dividing both side by 6 we get;

`(6m)/(6)=(72)/(6)\\\\m =12`

Hence It will take 12 month for the company to doubled the number of employees.