Solutions
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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
HardSolution
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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