GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 26 Jan 2020, 20:24

### 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

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

# If Kelly received 1/3 more votes than Mike in a student

Author Message
TAGS:

### Hide Tags

Manager
Joined: 28 Jan 2011
Posts: 73
Location: Tennessee
Schools: Belmont University

### Show Tags

18 May 2011, 13:08
2
10
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:26) correct 33% (01:35) wrong based on 396 sessions

### HideShow timer Statistics

If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10011
Location: Pune, India

### Show Tags

18 May 2011, 19:37
7
3
MitDavidDv wrote:
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?
A. 12
B. 13
C. 14
D. 15
E. 16

You can use ratios to solve it too.
Kelly received 1/3 more votes than Mike which means that if Mike got 3 votes, Kelly got 4 votes (1/3 more than Mike). Since votes cannot be fractional, Mike must have got at least 3 votes and Kelly must have got at least 4 votes. They must have got at least 7 votes together. Actual number of votes could be any multiple of 7. The only multiple of 7 in the options is 14.
For more on ratios, check:
http://www.veritasprep.com/blog/2011/03 ... of-ratios/
_________________
Karishma
Veritas Prep GMAT Instructor

Retired Moderator
Joined: 20 Dec 2010
Posts: 1533

### Show Tags

18 May 2011, 13:25
5
MitDavidDv wrote:
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?
A. 12
B. 13
C. 14
D. 15
E. 16

Question should say: 1/3 TIMES more votes.

K = M + 1/3M
K = (4/3)M
M+K=M+(4/3)M=Total
Total = (7/3)M
M=(3/7)Total

Total must be a multiple of 7 because Mary can't receive fractional numbers of votes.

Only option that is a multiple of 7 is 14.

Ans: "C"
##### General Discussion
Director
Joined: 01 Feb 2011
Posts: 528

### Show Tags

18 May 2011, 18:28
1
K = (4/3)M

=> M+K = (7/3)*M

=> M = (3/7)*(M+K)

M+K has to be a multiple of 7.

Only possible option here is 14.

Director
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 780

### Show Tags

18 May 2011, 21:28
1
7/3 * M = total votes

14 fits
Intern
Joined: 11 Jul 2012
Posts: 39

### Show Tags

03 Nov 2012, 08:22
It's not clear to whether 1/3 has to be applied to the votes cast to Mike or to the total votes
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10011
Location: Pune, India

### Show Tags

03 Nov 2012, 21:37
Ousmane wrote:
It's not clear to whether 1/3 has to be applied to the votes cast to Mike or to the total votes

The comparison of 1/3rd more is with Mike.

_________________
Karishma
Veritas Prep GMAT Instructor

Intern
Status: wants to beat the gmat
Joined: 18 Jul 2012
Posts: 18
Location: United States

### Show Tags

06 Nov 2012, 15:48
K = 4/3 M
we know M has to be a multiple of 3 in order to get an integer for K + M

plug in a couple values for M:

M = 3 => K = 3 + 1 = 4
M + K = 7 (not in choices)

M = 6 => K = 6 + 2 = 8
M + K = 14 (answer C)
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1723
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

### Show Tags

13 Jan 2015, 22:27
Let votes to Mike = x

Then votes to Kelly $$= x + \frac{x}{3}$$

Total votes $$= 2x + \frac{x}{3} = \frac{7x}{3}$$

$$x = (Total Votes) * \frac{3}{7}$$

Total votes should be divisible by 7, only 14 fits in

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9145
Location: United States (CA)

### Show Tags

10 May 2017, 12:33
1
MitDavidDv wrote:
If Kelly received 1/3 more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16

If we let k = the number of votes Mike received, then (4/3)k = the number of votes Kelly received. Thus, they received a total of k + 4k/3 = 3k/3 + 4k/3 = 7k/3 votes.

Since 7k/3 has to be an integer, k can be any multiple of 3.

When k is 3, the total number of votes is 7(3)/3 = 7.

When k is 6, the total number of votes is 7(6)/3 = 14.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Joined: 11 Feb 2017
Posts: 20
Location: India
Schools: SPJ PGPM"17
GMAT 1: 600 Q48 V25
GPA: 3.57
WE: Engineering (Computer Software)

### Show Tags

19 May 2017, 12:33
Let votes to Mike = x
Total votes =2x+x/3=7x/3= hence answer should be multiple of 7 thats 14 - option C
________________
who is the winner , the one who tries and fails OR the one does not try because of fear of loosing !!
Have a good day ! Kindly press "+1 Kudos" to appreciate
Senior Manager
Joined: 08 Jun 2015
Posts: 414
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33

### Show Tags

22 Jun 2018, 08:16
Let the number of votes for Mike and Kelly be M and K respectively. As per the statement K=(4/3)*M. K/M=4/3. The sum has to be a multiple of 7. The total number of votes need to be a multiple of 7. Only 14 or option C fits the bill.

Option C it is !!
_________________
" The few , the fearless "
Director
Joined: 13 Mar 2017
Posts: 727
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

### Show Tags

12 Nov 2018, 00:02
MitDavidDv wrote:
If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16

Let the vote received by Mike be M.
Vote Received by Kelly is 1/3 more than the votes of Mike = (1/3)M +M = (4/3)M
Ratio of votes of Kelly to Mike = 4/3

Since votes should be a natural number. So it must be a multiple of 4+3 = 7. Only Option C i.e. 14 is a multiple of 7.

Director
Joined: 04 Sep 2015
Posts: 675
Location: India
WE: Information Technology (Computer Software)

### Show Tags

13 Jan 2019, 10:04
If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16

so x=(3*total votes)/7. since the votes have to be integer then we have to pick a nunber which is divisible by 7 to make x as an integer.

only option c is divisivle by 7 and thus x=6 and Kelly got 8 votes.=14

C is correct.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4870
Location: India
GPA: 3.5

### Show Tags

14 Jan 2020, 11:01
MitDavidDv wrote:
If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16

Consideriing Total No of votes polled = Total No of Students = 7

Thus, Total no of students must be a multiple of 7 , among the given options only (C) 14 fits, hence thats the correct Answer!!!
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9145
Location: United States (CA)

### Show Tags

16 Jan 2020, 07:22
MitDavidDv wrote:
If Kelly received 1/3 times more votes than Mike in a student election, which of the following could have been the total number of votes cast for the two candidates?

A. 12
B. 13
C. 14
D. 15
E. 16

We can let K = the number of votes received by Kelly, M = the number of votes received by Mike and T = the total number of votes received by the two candidates. We can create the equation:

K = 4M/3

and

T = K + M

Thus, T = K + M = 4M/3 + M = 4M/3 = 3M/3 = 7M/3.

We see that T must be a multiple of 7. So 14 is the only possible answer among the given choices for the total number of votes cast.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If Kelly received 1/3 more votes than Mike in a student   [#permalink] 16 Jan 2020, 07:22
Display posts from previous: Sort by