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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

fractions

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 150
Joined: Tue Mar 08, 2011 4:38 am
Thanked: 5 times
by finance » Wed Jul 20, 2011 1:08 am
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 (0) 15 (E) 16
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Wed Jul 20, 2011 2:28 am
finance 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 (0) 15 (E) 16
The answer choices are small, so we can guess and check.

Let K=Kelly and M=Mike.
Since K received 1/3 more votes than Mike, M must be a multiple of 3.
Let M = 6.
Since (1/3)*6 = 2, K = 6+2=8.
M+K = 6+8 = 14.

The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 504
Joined: Tue Apr 19, 2011 1:40 pmFollowed by: 11 members
Thanked: 114 times

by knight247 » Wed Jul 20, 2011 2:35 am
Answer is [spoiler](C)[/spoiler]

Kelly received 1/3 more votes than Mike. Let K be the # of kelly's votes and M be the # of mike's votes
K=M+M/3
K=4M/3 and M=3K/4

Total # of votes cast is M+K= X....(1)
Substituting K=4M/3 in this equation we get
7K/4=X
or
K=4X/7....(a)

Substituting M=3K/4 in equation (1) we get
7M/3=X
or
M=3X/7....(b)

Now the total number of votes recvd by mike and kelly individually are definitely integers. So we substitute each of the answer choices as the value of X in (a) and (b) and the one that gives both M and K as integers is the correct answer. In this case 14 returns an integer value for both K and M. Hence C
Last edited by knight247 on Wed Jul 20, 2011 2:41 am, edited 1 time in total.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 461
Joined: Tue May 10, 2011 9:09 amFollowed by: 3 members
Location: pune
Thanked: 36 times

by amit2k9 » Wed Jul 20, 2011 2:37 am
k = m + 1/3 m = 4/3m

thus 4/3 m + m = T

hence m = 3/7 * Total

hence 14 fits the bill.
For Understanding Sustainability,Green Businesses and Social Entrepreneurship visit -https://aamthoughts.blocked/
(Featured Best Green Site Worldwide-https://bloggers.com/green/popular/page2)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 401
Joined: Tue May 24, 2011 1:14 amFollowed by: 5 members
Thanked: 37 times

by MBA.Aspirant » Wed Jul 20, 2011 11:19 am
Kelly = 1+1/3 =4/3

Mike = 1


K:M

4/3 : 1 (x 3)

4:3 total of ratio 7

so answer must be a multiple of 7

only 14 works
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1