Question

If b isn't the right answer, then what is?

Answer 1

$s=35t\\ s+t=8532\\\\ 35t+t=8532\\ 36t=8532\\ t=237\\\\ s=35\cdot237=8295$

So it's C.

Answer 2

Let x be the number of teachers, then thee number of students will be 35.x (given).
Moreover all teachers and students occupy 8532 Seats (8544 - 12 empty)
All x (teachers) and all 35x (Students) are seated in 8532 seats, that means:
x+35x = 8532
36x = 8532
x= 237 (TECHERS) and the students = 35x = 35(237) = 8295 students (answer c)