the student to faculty ratio at a small college is 17:3. the total of students and faculty is 740. how many faculty members are there at the college? how many students?

x - studentsy - faculty membersThe 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.

so students:faculty=17:3total =740we can assume that the units are the same so 17+3=20 so 740=20 units74=2 units37=1 unitfaculty=3 units37 times 3=111there are 111 faculty members