One-sixth of the attendees at a certain convention are femal

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

One-sixth of the attendees at a certain convention are femal

by BTGmoderatorDC » Mon Feb 18, 2019 9:54 pm

Timer

00:00

Your Answer

Global Stats

One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 150 of the attendees are neither female nor students, what is the total number of attendees at the convention?

A. 300
B. 450
C. 600
D. 800
E. 900

OA E

Source: Manhattan Prep

Quote

Source: Beat The GMAT — Problem Solving | Mon Feb 18, 2019 9:54 pm

GMAT/MBA Expert

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Mon Feb 18, 2019 10:54 pm

BTGmoderatorDC wrote:One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 150 of the attendees are neither female nor students, what is the total number of attendees at the convention?

A. 300
B. 450
C. 600
D. 800
E. 900

OA E

Source: Manhattan Prep

Already replied two days back...

https://www.beatthegmat.com/one-sixth-o ... tml#827021

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Classes San Diego | GMAT Tutoring Atlanta | GRE Prep Jacksonville | TOEFL Prep Classes Bangkok | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Thu Feb 21, 2019 4:53 pm

BTGmoderatorDC wrote:One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 150 of the attendees are neither female nor students, what is the total number of attendees at the convention?

A. 300
B. 450
C. 600
D. 800
E. 900

OA E

Source: Manhattan Prep

We can create the following equation:

Total = number of females + number of students - number of both + number of neither

We can let n = the number of attendees, and thus, (n/6) are female students (i.e., both). We also know that (2n/3) are females, (n/3) are students, and 150 of the attendees are neither female nor students. Thus:

n = (2n/3) + (n/3) - (n/6) + 150

Multiplying by 6, we have:

6n = 4n + 2n - n + 900

n = 900

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]