Question

in a certain clothing store, the ratio of the number of full-time employees to the number of employees who are not full-time is 1 to 4. if 5 more full-time employees were hired, the ratio would be 2 to 3. how many employees are employed by the store?

Answer 1

Answer: Total number of employees are employed by the store = 15 employees.

Step-by-step explanation:

The ratio of Full time employees to Not Full time employees would be 1 to 4.

Let, Full time employees F =1      

Not Full time employees N =4

We can write:

                                F/N = ¼

Cross multiply to get:

                                 N=4F

If 5 more Full time employees were hired, then the ratio would be 2 to 3.

This would be mean there are no (F+5) Full time employees.

Also there are still Not Full time employees.

We can write:

                             (F+5) / N = 2/3

Cross multiply to get:

                              3(F+5) =2N

Expand to get:

                               3F+15=2N

Replace N with 4F to get:      

                               3F+15=2(4F)

Solve to get:

                              3F+15=8F

                              15=8F-3F

                              15=5F

                                F=3

So, there are presently 3 Full time employees.

How many employees does the store have?

Since           F=3,

we can use the equation N=4F

To help find the value of N Replace F with 3 to get:

                              N = 4(3)

Solve to get:

                               N=12

So, Full time employees F=3    

Not Full time employees N=12

Then, Total number of employees = F+N

                                                         = 3+12

                                                         = 15.

Hence, Total number of employees = 15 employees.

Learn more about event correlation here: brainly.in/question/15910549

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