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?

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Answer 1 · 2017-11-19T08:03:34

There are #65# part-time workers.

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.