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
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.
Related Questions
- Is quadrilateral MNOP a square?
- If the average (arithmetic mean) of the assessed values of x houses is $212,000 and the average of the…
- If a town of 25,000 people is growing at a rate of approximately 1 percent per year, the population of the…
- P, Q, R and S are points on the number line in that order. If the distance from P to S is 10, what is the…
- The ratio of R to S is 3 to 5, what is the value of the ratio (R + K)/(S + K)?
- Copyright © 2019. All Rights Reserved. Crafted by Pixelmattic
