Hi All,
While this question is 'step-heavy', it's really just about doing the necessary arithmetic/algebra and taking organized notes.
We're told that there are 540 total people and that there were TWICE as many females as males....
M = number of Males
F = number of Females
M + F = 540
F = 2M now we'll substitute this into the first equation....
M + 2M = 540
3M = 540
M = 180
So there are 180 males and 360 females
We're also told that there are 3 times as many teachers as administrators (the math works exactly the same as what we just did above, just with different variables). You would end up with...
135 administrators and 405 teachers
Finally, we're told that 1/3 of the administrators were males...
135 total administrators
(1/3)(135) = 45 male administrators
135 - 45 = 90 female administrators
Using this information, with the original deductions (from above), we have...
360 total females
90 female administrators
360 - 90 = 270 female teachers
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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