# 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.