Question

An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bachelors degrees. 1/4 of employees with bachelors degrees have graduate degrees. 1/5 of employees with graduate degrees have PhDs. What fraction of the agency's employees have PhDs?

Answer 1

1/80 of the agency's employees have PhDs.

Explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees =
`(50)/(4000) = (1)/(80)`

Hence,

1/80 of the agency's employees have PhDs.