Last visit was: 19 Nov 2025, 16:22 It is currently 19 Nov 2025, 16:22
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
 1   2   
User avatar
eybrj2
User avatar
Joined: 31 Oct 2011
Last visit: 02 Oct 2013
Posts: 200
Own Kudos:
8,712
 [393]
Given Kudos: 18
Posts: 200
Kudos: 8,712
 [393]
When 2/9 of the votes on a certain resolution have been counted, 3/4 02 Mar 2012, 10:44
18
Kudos
Add Kudos
374
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

70% (02:45) correct 30% (03:06) wrong based on 3940 sessions

History

Date
Time
Result
Not Attempted Yet
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

PS65402.01
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,368
 [60]
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,390
Kudos: 778,368
 [60]
When 2/9 of the votes on a certain resolution have been counted, 3/4 02 Mar 2012, 10:55
31
Kudos
Add Kudos
29
Bookmarks
Bookmark this Post
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14
Show more

If we use a variable for the total number of votes, there will be too many fractions to manipulate. So, let's choose a smart number: set the total number of votes at 18.

"2/9 of the votes on a certain resolution have been counted" means 4 votes are counted, and 18 - 4 = 14 votes yet to be counted.
"3/4 of those counted are in favor of the resolution" means 3 votes are in favor and 1 against.

For the ratio of those who voted against to those who voted for to be 2 to 1, there should be a total of 18*2/3 = 12 people who voted against. Therefore, in the remaining 14 votes, there should be 12 - 1 = 11 people who voted against. Hence, 11/14 of the remaining votes must be against.

Answer: A.
avatar
dkumar50
avatar
Joined: 10 Mar 2014
Last visit: 22 May 2014
Posts: 2
Own Kudos:
28
 [26]
Given Kudos: 9
Posts: 2
Kudos: 28
 [26]
When 2/9 of the votes on a certain resolution have been counted, 3/4 05 May 2014, 00:39
22
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14
Show more

Let's say there were 90 votes.
2/9 Votes = 20
Out of 20 3/4 in favour = 15 and remaining against = 5

For 2:1 against to favour ratio out of 90 votes= 30:60
Mores votes needed against = 60 - 5 = 55
Remaining votes = 90-20 = 70

Ratio to remaining = 55:70 = 11:14
General Discussion
User avatar
AbeinOhio
User avatar
Joined: 22 Feb 2012
Last visit: 02 Nov 2016
Posts: 74
Own Kudos:
75
 [16]
Given Kudos: 25
Schools: HBS '16
GMAT 1: 670 Q42 V40
GMAT 2: 740 Q49 V42
GPA: 3.47
WE:Corporate Finance (Aerospace and Defense)
Schools: HBS '16
GMAT 2: 740 Q49 V42
Posts: 74
Kudos: 75
 [16]
When 2/9 of the votes on a certain resolution have been counted, 3/4 02 Mar 2012, 10:59
13
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Final Result needs to be 2/3 Not in Favor

We already know of the 2/9th counted that we have 2/9 * 1/4 = 1/18

So then the question is how much of the 7/9 to go do we need to get to 2/3

Or:

1/18 + (7* x)/9 = 2/3

(14y +1)/18 = 2/3
14y+1= 12
y = 11/14 or answer is A
avatar
PareshGmat
avatar
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,534
Own Kudos:
8,102
 [8]
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,534
Kudos: 8,102
 [8]
When 2/9 of the votes on a certain resolution have been counted, 3/4 02 Mar 2014, 20:09
8
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

If we use a variable for the total number of votes, there will be too many fractions to manipulate. So, let's choose a smart number: set the total number of votes at 18.

"2/9 of the votes on a certain resolution have been counted" means 4 votes are counted, and 18 - 4 = 14 votes yet to be counted.
"3/4 of those counted are in favor of the resolution" means 3 votes are in favor and 1 against.

For the ratio of those who voted against to those who voted for to be 2 to 1, there should be a total of 18*2/3 = 12 people who voted against. Therefore, in the remaining 14 votes, there should be 12 - 1 = 11 people who voted against. Hence, 11/14 of the remaining votes must be against.

Answer: A.
Show more

Did in the same way, just created a table as below
Attachments

jpg.jpg
jpg.jpg [ 63.45 KiB | Viewed 52722 times ]

User avatar
Probus
User avatar
Joined: 10 Apr 2018
Last visit: 22 May 2020
Posts: 180
Own Kudos:
530
 [5]
Given Kudos: 115
Location: United States (NC)
Posts: 180
Kudos: 530
 [5]
When 2/9 of the votes on a certain resolution have been counted, 3/4 06 Mar 2019, 11:01
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi here are my two cents for this questions

Well there can be multiple ways to solve this questions depends on which method strikes you at that moment.

However, its noteworthy to see what can we derive from the information given

We are told that ratio of \(\frac{NF}{F}= \frac{2}{1}\)

this mean\(\frac{2}{3}=\frac{NF}{NF+F}\) and \(\frac{1}{3}=\frac{F}{NF+F}\)

we are told that \(\frac{2}{9}\) of votes are counted and of which \(\frac{3}{4}\) are in favor of proposal. that means \(\frac{1}{4}\) are against the proposal.

what remains to be counted is \(\frac{7}{9}\).then let the fraction of votes against the proposal be 'a' , then number of votes for the resolution will be (1-a) and total number of votes =x

then
\(\frac{2x}{3}\) = \(\frac{2x}{9}\) \(\frac{1}{4}\) + \(\frac{7x}{9}\) a

Simplyfying the above equation we have
a= \(\frac{11}{14}\)


Alternatively if one is good at algebriac approach then

\(\frac{NF}{F}\)=\(\frac{\frac{2x}{9}\frac{1}{4} +\frac{7x}{9} a }{\frac{2x}{9}\frac{3}{4} +\frac{7x}{9}(1- a )}\)

\(\frac{2}{1}\)=\(\frac{\frac{2x}{9}\frac{1}{4} +\frac{7x}{9} a }{\frac{2x}{9}\frac{3}{4} +\frac{7x}{9}(1- a )}\)

solving we get a= \(\frac{11}{14}\)


Alternatively,
we see that if there were 36 votes (how did we come at 36 , we take the LCM of denominators of \(\frac{2}{9} and \frac{3}{4}\) )
then 8 are counted and 6 are in favor and 2 are against

remaining 28 votes x are in favor and y are against.then we have
\(\frac{2}{3}\)= y+2
solving we get y= 22

so we need \(\frac{y}{28}= \frac{22}{28}= \frac{11}{14}\)



Probus
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,784
Own Kudos:
12,807
 [7]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,784
Kudos: 12,807
 [7]
When 2/9 of the votes on a certain resolution have been counted, 3/4 09 Dec 2019, 17:54
4
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Hi All,

We're told that when 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in FAVOR of the resolution. We're asked what fraction of the REMAINING votes must be AGAINST the resolution so that the total count will result in a vote of 2 to 1 AGAINST the resolution. While this question might appear a little 'complicated', it's based on some basic Arithmetic and can be solved by TESTing VALUES.

Since we're dealing with 'ninths' and 'fourths', let's TEST a common denominator: 36

For the final ratio to be 2:1 AGAINST the resolution, we need there to be 24 votes AGAINST and 12 votes in FAVOR

IF.... there are 36 total votes
(2/9)(36) = 8 votes have been counted
(3/4)(8) = 6 of those 8 votes are in FAVOR of the resolution.... and the other 2 votes are AGAINST

36 - 8 = 28 votes remain
Since we already have 2 votes in AGAINST - and we need 24 total votes AGAINST, we need 22 of these remaining 28 votes to be AGAINST (and then the rest will be in FAVOR).
22/28 = 11/14

Final Answer:
Show Spoiler
A


GMAT assassins aren't born, they're made,
Rich
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 19 Nov 2025
Posts: 21,716
Own Kudos:
26,997
 [4]
Given Kudos: 300
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,716
Kudos: 26,997
 [4]
When 2/9 of the votes on a certain resolution have been counted, 3/4 12 Dec 2019, 19:46
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

PS65402.01
Show more

If we assume that there are 180 votes, then 2/9 x 180 = 40 votes have been counted. Of these 40 votes, 3/4 x 40 = 30 are in favor of the resolution and 10 are against the resolution. If the vote is 2 to 1 against the resolution, we can create the equation:

x + 2x = 180

3x = 180

x = 60

Therefore, we need to have 60 votes for the resolution and 120 votes against the resolution.

Since 10 votes are currently against the resolution, of the 140 remaining votes, we need 110 votes of them to be against (and 30 votes for) the resolution, so the fraction is 110/140 = 11/14.

Answer: A
User avatar
Nums99
User avatar
Joined: 12 Jan 2019
Last visit: 18 Mar 2022
Posts: 88
Own Kudos:
85
Given Kudos: 211
Location: India
Concentration: Finance, Technology
Schools: Rotman '23 Desautels '23 Alberta University
Schools: Rotman '23 Desautels '23 Alberta University
Posts: 88
Kudos: 85
When 2/9 of the votes on a certain resolution have been counted, 3/4 16 May 2021, 04:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
VeritasKarishma Bunuel,

Hi Experts,
I am really confused with what the question says here.
I.E. 2:1 ratio 'against the resolution'
Shouldn't this mean 2x for the resolution and 1x against the resolution
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 19 Nov 2025
Posts: 16,267
Own Kudos:
77,001
 [5]
Given Kudos: 482
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,267
Kudos: 77,001
 [5]
When 2/9 of the votes on a certain resolution have been counted, 3/4 17 May 2021, 01:49
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Nums99
VeritasKarishma Bunuel,

Hi Experts,
I am really confused with what the question says here.
I.E. 2:1 ratio 'against the resolution'
Shouldn't this mean 2x for the resolution and 1x against the resolution
Show more


"2:1 against" means "2 against and 1 for"

"2:1 for" means "2 for and 1 against"

The first term of the ratio gives the number corresponding to what is mentioned.
If "against" is mentioned, then the 2 is "against".
User avatar
Dip050701
User avatar
Joined: 02 Jun 2021
Last visit: 05 Apr 2024
Posts: 36
Own Kudos:
7
Given Kudos: 34
Location: India
Schools: ISB '25
GPA: 2.77
Schools: ISB '25
Posts: 36
Kudos: 7
When 2/9 of the votes on a certain resolution have been counted, 3/4 15 Oct 2023, 10:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
so that the total count will result in a vote of 2 to 1 against the resolution? what does this mean in mathematical language ?
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,784
Own Kudos:
12,807
 [1]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,784
Kudos: 12,807
 [1]
When 2/9 of the votes on a certain resolution have been counted, 3/4 15 Oct 2023, 13:40
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Dip050701
so that the total count will result in a vote of 2 to 1 against the resolution? what does this mean in mathematical language ?
Show more

Hi Dip050701,

If you are approaching this question algebraically - and you choose specific variables to refer to "for" and "against" (for example... "F" = the number of votes FOR the resolution and "A" = the number of votes AGAINST the resolution), then 2 to 1 against would be F/A = 2/1.

Of course, you can approach this question in a number of different ways (which you'll see in the other posts in this thread). Since the arithmetic involved is fairly simple, I chose to TEST VALUES. Here's how:

Since we're dealing with 'ninths' and 'fourths', let's TEST a common denominator: 36

For the final ratio to be 2:1 AGAINST the resolution, we need there to be 24 votes AGAINST and 12 votes in FAVOR

IF.... there are 36 total votes
(2/9)(36) = 8 votes have been counted
(3/4)(8) = 6 of those 8 votes are in FAVOR of the resolution.... and the other 2 votes are AGAINST

36 - 8 = 28 votes remain
Since we already have 2 votes in AGAINST - and we need 24 total votes AGAINST, we need 22 of these remaining 28 votes to be AGAINST (and then the rest will be in FAVOR).
22/28 = 11/14

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com
www.empowergmat.com
User avatar
Yuki2202
User avatar
Joined: 09 Jan 2024
Last visit: 13 Dec 2024
Posts: 13
Given Kudos: 63
Location: Viet Nam
GMAT 1: 600 Q37 V37
GMAT 1: 600 Q37 V37
Posts: 13
Kudos: 0
When 2/9 of the votes on a certain resolution have been counted, 3/4 27 Jan 2024, 19:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

If we use a variable for the total number of votes, there will be too many fractions to manipulate. So, let's choose a smart number: set the total number of votes at 18.

"2/9 of the votes on a certain resolution have been counted" means 4 votes are counted, and 18 - 4 = 14 votes yet to be counted.
"3/4 of those counted are in favor of the resolution" means 3 votes are in favor and 1 against.

For the ratio of those who voted against to those who voted for to be 2 to 1, there should be a total of 18*2/3 = 12 people who voted against. Therefore, in the remaining 14 votes, there should be 12 - 1 = 11 people who voted against. Hence, 11/14 of the remaining votes must be against.

Answer: A.
Show more

Thank you for your explanation. But could you help me understand why can we know the total number is 18 instead of other number.
Thank you so much.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,368
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,390
Kudos: 778,368
When 2/9 of the votes on a certain resolution have been counted, 3/4 28 Jan 2024, 01:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
phuongdung0204
Bunuel
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

If we use a variable for the total number of votes, there will be too many fractions to manipulate. So, let's choose a smart number: set the total number of votes at 18.

"2/9 of the votes on a certain resolution have been counted" means 4 votes are counted, and 18 - 4 = 14 votes yet to be counted.
"3/4 of those counted are in favor of the resolution" means 3 votes are in favor and 1 against.

For the ratio of those who voted against to those who voted for to be 2 to 1, there should be a total of 18*2/3 = 12 people who voted against. Therefore, in the remaining 14 votes, there should be 12 - 1 = 11 people who voted against. Hence, 11/14 of the remaining votes must be against.

Answer: A.

Thank you for your explanation. But could you help me understand why can we know the total number is 18 instead of other number.
Thank you so much.
Show more

The total number of votes is not necessarily 18. I chose 18 because it's the smallest number that allows both 2/9 of the votes and 2/9*3/4 of the votes to be an integers, which easies the calculations. However, the total number of voters can be any multiple of 18.
User avatar
Yuki2202
User avatar
Joined: 09 Jan 2024
Last visit: 13 Dec 2024
Posts: 13
Given Kudos: 63
Location: Viet Nam
GMAT 1: 600 Q37 V37
GMAT 1: 600 Q37 V37
Posts: 13
Kudos: 0
When 2/9 of the votes on a certain resolution have been counted, 3/4 28 Jan 2024, 02:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel I understood. Thank you so much!!!
User avatar
findingmyself
User avatar
Joined: 06 Apr 2025
Last visit: 19 Nov 2025
Posts: 230
Own Kudos:
157
Given Kudos: 57
Posts: 230
Kudos: 157
When 2/9 of the votes on a certain resolution have been counted, 3/4 10 May 2025, 04:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hey Bunuel, Please check if this approach is correct:

I took a smart number of 36.

The questions want us to have a 2:1 Majority which means 24 votes against the resolution minimum and 12 votes in favor.

Counted votes=(2/9)*36=8
Favour: (3/4)*8=6
Non-Favour=2


We need 22 more votes against the resolution to hit 2:1
Number of votes yet to be counted=28
Let (a/b) be the fraction of the remaining votes against the resolution.
28*(a/b)=22
(a/b)=22/28=11/14


Bunuel
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

If we use a variable for the total number of votes, there will be too many fractions to manipulate. So, let's choose a smart number: set the total number of votes at 18.

"2/9 of the votes on a certain resolution have been counted" means 4 votes are counted, and 18 - 4 = 14 votes yet to be counted.
"3/4 of those counted are in favor of the resolution" means 3 votes are in favor and 1 against.

For the ratio of those who voted against to those who voted for to be 2 to 1, there should be a total of 18*2/3 = 12 people who voted against. Therefore, in the remaining 14 votes, there should be 12 - 1 = 11 people who voted against. Hence, 11/14 of the remaining votes must be against.

Answer: A.
Show more
User avatar
rak08
User avatar
Joined: 01 Feb 2025
Last visit: 19 Nov 2025
Posts: 236
Own Kudos:
21
Given Kudos: 338
Location: India
Schools: NUS '26 ISB '26 INSEAD Aug '26
GPA: 7.14
Products:
GMAT Club Tests
Schools: NUS '26 ISB '26 INSEAD Aug '26
Posts: 236
Kudos: 21
When 2/9 of the votes on a certain resolution have been counted, 3/4 16 May 2025, 23:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I don't get it where am I going wrong,, KarishmaB ScottTargetTestPrep

(1/18+(1-X)7/9)
-------------------- = 2 / 1
3/18 + 7X/9

which is against to in favour.

x comes out to be 9/14 so (1-x) = 5/14
so not counted fraction is 5/14

Please guide!
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,368
 [1]
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,390
Kudos: 778,368
 [1]
When 2/9 of the votes on a certain resolution have been counted, 3/4 17 May 2025, 02:01
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
rak08

Bunuel
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of thoes counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

If we use a variable for the total number of votes, there will be too many fractions to manipulate. So, let's choose a smart number: set the total number of votes at 18.

"2/9 of the votes on a certain resolution have been counted" means 4 votes are counted, and 18 - 4 = 14 votes yet to be counted.
"3/4 of those counted are in favor of the resolution" means 3 votes are in favor and 1 against.

For the ratio of those who voted against to those who voted for to be 2 to 1, there should be a total of 18*2/3 = 12 people who voted against. Therefore, in the remaining 14 votes, there should be 12 - 1 = 11 people who voted against. Hence, 11/14 of the remaining votes must be against.

Answer: A.
I don't get it where am I going wrong,, KarishmaB ScottTargetTestPrep

(1/18+(1-X)7/9)
-------------------- = 2 / 1
3/18 + 7X/9

which is against to in favour.

x comes out to be 9/14 so (1-x) = 5/14
so not counted fraction is 5/14

Please guide!
Show more
You're actually solving for the wrong variable. The question asks what fraction of the remaining votes must be against, which means your final answer should be 1 - x, not x.

Your equation gives x = 3/14, so 1 - x = 11/14, which is the correct answer.

To get the required fraction directly, you should have set up:

((1/18 + x * 7/9)/(3/18 + (1 - x) * 7/9)) = 2.

Even better approach would be to assume values, as done in the official solution.
User avatar
GMATCoachBen
User avatar
Joined: 21 Mar 2017
Last visit: 18 Nov 2025
Posts: 465
Own Kudos:
2,719
Given Kudos: 210
Status:Professional GMAT Trainer
Affiliations: GMAT Coach
Location: United States (WA)
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 1: 760 Q50 V44
GMAT 2: 770 Q51 V44
GMAT 3: 770 Q50 V44
GMAT 4: 770 Q50 V45 (Online)
GMAT 5: 780 Q51 V48
Expert
Expert reply
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 5: 780 Q51 V48
Posts: 465
Kudos: 2,719
When 2/9 of the votes on a certain resolution have been counted, 3/4 30 Sep 2025, 23:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This is good, I also picked 36 for the total, based on the LCM of the denominators (2/9 and 3/4).

We can use a tree diagram to be organized and efficient:


findingmyself
Hey Bunuel, Please check if this approach is correct:

I took a smart number of 36.

The questions want us to have a 2:1 Majority which means 24 votes against the resolution minimum and 12 votes in favor.

Counted votes=(2/9)*36=8
Favour: (3/4)*8=6
Non-Favour=2


We need 22 more votes against the resolution to hit 2:1
Number of votes yet to be counted=28
Let (a/b) be the fraction of the remaining votes against the resolution.
28*(a/b)=22
(a/b)=22/28=11/14



Show more
Show Spoiler
Attachment:
GMAT-Club-Forum-l97pse0h.png
GMAT-Club-Forum-l97pse0h.png [ 194.42 KiB | Viewed 1564 times ]
User avatar
GMATCoachBen
User avatar
Joined: 21 Mar 2017
Last visit: 18 Nov 2025
Posts: 465
Own Kudos:
2,719
Given Kudos: 210
Status:Professional GMAT Trainer
Affiliations: GMAT Coach
Location: United States (WA)
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 1: 760 Q50 V44
GMAT 2: 770 Q51 V44
GMAT 3: 770 Q50 V44
GMAT 4: 770 Q50 V45 (Online)
GMAT 5: 780 Q51 V48
Expert
Expert reply
GMAT Focus 1: 775 Q87 V90 DI88 (Online)
GMAT 5: 780 Q51 V48
Posts: 465
Kudos: 2,719
When 2/9 of the votes on a certain resolution have been counted, 3/4 30 Sep 2025, 23:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
eybrj2
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?

A. 11/14
B. 13/18
C. 4/7
D. 3/7
E. 3/14

PS65402.01
Show more
Note that the word "remaining" is a common signal word — and an essential clue that we must subtract from the total.

Here's another good one to try: https://gmatclub.com/forum/of-the-3-600 ... ml#p307338
 1   2   
Moderators:
Bunuel
Math Expert
105390 posts
Krunaal
Tuck School Moderator
805 posts