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:

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Rich

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