42 students and 6 faculty members at Byrd Middle school chose to retake their school pics. these #'s represent 1/12 of the students and 1/6 of the fuculty. what is the combined # of students and faculty members

Faculty (not fuculty); )

Let s = # of students and f = # of faculty. We want to find s + f.

(1/12) s = 42. Mult. both sides by 12, we get s = 504.

(1/6) f = 6. Mult. both sides by 6, we get f = 36.

Then the total # of faculty and students combined is 504+36 = 540 (ans.)