Solutions

Get detailed explanations to advanced GMAT questions.



Question

All of the 540 people who attended an education convention were either teachers or administrators. There were twice as many females as males at the convention and 3 times as many teachers as administrators. If 1/3 of the administrators were males, how many of the females were teachers?


 

Option A:

90

Option B:

135

Option C:

180

Option D:

270

Option E:

405

Difficulty Level

Hard

Solution

Option D is the correct answer.


Option Analysis

Total = 540 people.

Twice as many females as males –> (Female) = 360 and (Males) = 180.

3 times as many teachers as administrators –> (Teachers) = 405 and (Administrators) = 135.

1/3 of the administrators were males –> (Male Administrators) = 135*1/3 = 45.

So, (Female Teachers) = 270.


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