In a company, the ratio of full-time to part-time employees is 8:5. There are 39 more full-time employees than part-time employees. What is the number of part-time employees?

1 Answer
Nov 19, 2017

There are 65 part-time workers.

Explanation:

Since the ratio of workers is 8:5, we have 8a full-time employees and 5a of part-time employees, for a total of 13a employees.

Say the number of full-time employees is E_f, and part-time E_p.

E_f-E_p=39

Substitute:

8a-5a=39

3a=39

a=13

Substitute this value of a into the formula for E_p(5a).

5*13=65.

There are 65 part-time workers.