Answer:
The number of faculty member is 45.
Explanation:
Ratio of faculty members to students = 1 : 15
Number of students = 675
Total = Number students + faculty members
Let the total be t
Let the faculty member be f
Representing the ratio, we have:

Therefore, the total number of both the students and faculty member is 720. To get the number of faculty member:
Total = Number students + faculty members

The number of faculty member is 45.