x - students
y - faculty members
The student to faculty ratio is 17:3.
x:y=17:3
[tex]\frac{x}{y}=\frac{17}{3} \\
x=\frac{17}{3}y[/tex]
The number of students and faculty is 740.
[tex]x+y=740 \\
x=\frac{17}{3}y \\
\Downarrow \\
\frac{17}{3}y+y=740 \ \ \ |\times 3 \\
17y+3y=2220 \\
20y=2220 \\
y=111 \\ \\
x=\frac{17}{3}y=\frac{17}{3} \times 111=\frac{1887}{3}=629
[/tex]
There are 629 students and 111 faculty members at the college.
