Question

The ratio of faculty members to students at a college is 1:15. If there are 675 students, then how many faculty members are there?

Answer 1

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:

`(15)/(16) * t = 675\\(15t)/(16) = 675\\15t = 16 * 675\\15t = 10800\\(15t)/(15) =(10800)/(15) \\t = 720`

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

`720 = 675 + f\\f = 720 - 675\\f = 45`

The number of faculty member is 45.