Student to faculty is 17:3 The total is 740 how many students and faculty are at the college

Let the faculties be X and the number of students be Y.

X/Y = 17/3

3X = 17Y

X=17Y/3

Let that be equation 1

We also know that X+Y = 740. Let it be equation 2

Substitute equation 1 in equation 2

(17Y/3) + Y = 740

20Y/3 = 740

Y=111

Since the total is 740, then X equal 740-111 = 629.

The number of faculties is 111 and the number of students is 629.

17+3 = 20

so for every 20 people there are 17 students and 3 faculty

740/20 = 37

37*3 = 111 faculty

37 * 17 = 629 students