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 student?
divide the 740 into 20 equal parts of x each. There are thus
17x students and 3x faculty. So,
17x+3x=740
20x=740
x=37
So, there are
17*37 = 629 students
3*37 = 111 faculty
17/20 = s/740
20s = 12,580
s = 629
629 students
Another way: when a ratio such as 17:3 , that means for each 20, 3 are faculty.
faculty = 3/20 x 740= 111
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The student-to-faculty ratio at a small school is 17:3. There are 280 more students than faculty members. How many faculty members are there at the school?
740/20=37
17x37=629 students
3x37=111 faculty