Answer:
Let's call the number of students at the college "x". Then, the number of faculty/staff is 3 times that number, or 3x. The total number of people at the college is the sum of the students and faculty/staff, which is x + 3x = 4x.
According to the problem, the ratio of faculty/staff to students is 3 to 13, so we can write an equation:
3x / x = 3 / 13
To find the number of students, we can solve for x:
4x = 4000
x = 1000
So, there are 1000 students at the college.