At a recent college meeting, there were several faculty members, several administrators, as well as the President, Sister Janet. There were twice as many faculty members as there were administrators.
In addition, this was a rather formal academic meeting, so there were many bows that occurred: Every administrator made a bow to every other administrator, to each faculty member, and to Sr. Janet; also, every faculty member made a bow to every other faculty member, to each administrator, and to Sr. Janet. Overall, exactly 900 bows took place.
In addition, this was a rather formal academic meeting, so there were many bows that occurred: Every administrator made a bow to every other administrator, to each faculty member, and to Sr. Janet; also, every faculty member made a bow to every other faculty member, to each administrator, and to Sr. Janet. Overall, exactly 900 bows took place.
How many people were in attendance at this formal academic meeting?
(Use the submission box below to submit your answer. No need to explain: a correct answer will suffice for 10 points. However, feel free to explain your answer if you want a chance at some partial credit, in the event that your answer is incorrect.)
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