Question

Paracelsus University has two kinds of professors, academic professors and professional professors. At Paracelsus University, 60% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured?

Answer 1

Answer:  There are 75% professional professors tenured.

Step-by-step explanation:

Since we have given that

Percentage of professors are academic professors = 60%

Percentage of professors are tenured = 70%

Percentage of professors are academic professors or tenured or both = 90%

So, we make a table:

                                             Academic         Professional  Total

Tenured                      60+70-90=40                      30             70

Not Tenured                  20                                      10             30

Total                               60                                      40            100

So, Percent of the professional professors that are tenured is given by

$\dfrac{30}{40}\times 100\\\\=75\%$

Hence, There are 75% professional professors tenured.