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

Answer:

The number of faculty member is 45.

Step-by-step 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:

$\frac{15}{16} * t = 675\\\frac{15t}{16} = 675\\15t = 16 * 675\\15t = 10800\\\frac{15t}{15} =\frac{10800}{15} \\t = 720$

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.