the student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740 how many faculty members are their at college?
17+3=20
740/20=37
17:3 = 17*37 : 3*37 = 629:111
X faculty.
17x/3 students.
x+17x/3 = 740
3x+17x = 2220
X =
total number of students and faculty is 740
To find the number of faculty members at the college, we can use the student-to-faculty ratio and the total number of students and faculty.
The student-to-faculty ratio is given as 17:3, which means that for every 17 students, there are 3 faculty members.
To determine the number of faculty members, we need to divide the total number of individuals (students and faculty) by the sum of the student-to-faculty ratio fractions (17+3 = 20):
Total number of individuals / Sum of student-to-faculty ratio fractions = Number of faculty members
Given that the total number of students and faculty is 740, we can set up the equation:
740 / 20 = Number of faculty members
Solving this equation gives us:
Number of faculty members = 37
Therefore, there are 37 faculty members at the college.