Answer
Each mathematics faculty member is advising 200 students
Work Step by Step
The mathematics department is responsible for advising $\frac{5}{8}$ of the 3200 students.
We multiply 3200 by $\frac{5}{8}$ to find the number of students the mathematics department is responsible for advising.
3200 $\times$ $\frac{5}{8}$ = $\frac{8\ \times\ 400\ \times 5}{8}$ = 2000
To find how many students are each mathematics faculty member advising, we multiply 2000 by $\frac{1}{10}$:
2000 $\times$ $\frac{1}{10}$ = $\frac{2000}{10}$ = 200
So, each mathematics faculty member is advising 200 students
