Author 
Message 
TAGS:

Hide Tags

Senior Manager
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 459
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)

In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
25 Sep 2012, 06:35
Question Stats:
71% (01:30) correct 29% (01:43) wrong based on 329 sessions
HideShow timer Statistics
In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ? A.25% B.27% C.34% D.43% E.49% Hint:Choose smart Numbers
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
" Make more efforts " Press Kudos if you liked my post



Intern
Joined: 18 Sep 2012
Posts: 2
Location: United States

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
25 Sep 2012, 06:41
(61%)*3x + (y%)*x = (52%)*4x y = 25% hence answer is A.



Director
Joined: 22 Mar 2011
Posts: 601
WE: Science (Education)

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
25 Sep 2012, 07:00
thevenus wrote: In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ? A.25% B.27% C.34% D.43% E.49% Hint:Choose smart Numbers Use the property of weighted averages: atacertaincompanyaveragearithmeticmeannumberof137851.html#p1115917\(b\)  percent of the vote that candidate Smith win in County B In our case: \(\frac{A}{B}=\frac{3}{1}=\frac{52b}{6152}\), from which \(b = 25%.\) Answer A.
_________________
PhD in Applied Mathematics Love GMAT Quant questions and running.



Manager
Joined: 21 Oct 2013
Posts: 187
Location: Germany
GPA: 3.51

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
10 Jan 2014, 04:27
A : B : Total 3 : 1 : 4
Say there are a total of 100 votes. 100/4 = 25. Three parts of the 100 are in country A. So 75. Rest is in country B. Thus 25, A.
Wasn't quite sure, so this was an elevated guess, does this work? Or was it luck? :D



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 422
Location: Netherlands
GMAT Date: 02112015
WE: Psychology and Counseling (Other)

In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
24 Feb 2015, 03:27
unceldolan wrote: A : B : Total 3 : 1 : 4
Say there are a total of 100 votes. 100/4 = 25. Three parts of the 100 are in country A. So 75. Rest is in country B. Thus 25, A.
Wasn't quite sure, so this was an elevated guess, does this work? Or was it luck? :D I think it should work. It sort of uses the unknown multiplier. In this sense, since we have 4 parts, 1/4 (which is B) is 25%. We could for example do this: 3x+1x=100 (if we pick 100 as a smart number) 4x=100 x=25. Then 1*25=25, so B=25. Nice way!



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 422
Location: Netherlands
GMAT Date: 02112015
WE: Psychology and Counseling (Other)

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
24 Feb 2015, 03:34
EvaJager wrote: thevenus wrote: In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ? A.25% B.27% C.34% D.43% E.49% Hint:Choose smart Numbers Use the property of weighted averages: atacertaincompanyaveragearithmeticmeannumberof137851.html#p1115917\(b\)  percent of the vote that candidate Smith win in County B In our case: \(\frac{A}{B}=\frac{3}{1}=\frac{52b}{6152}\), from which \(b = 25%.\) Answer A. Sounds reasonable. I couldn't quite get the denominator 6152 for B. 61% is only the votes in A. 52% are total votes. So, if we subtract 52% (the total votes) from 61% (only votes from A) we should remain with votes from B?



SVP
Joined: 06 Nov 2014
Posts: 1883

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
28 Feb 2015, 11:31
thevenus wrote: In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ? A.25% B.27% C.34% D.43% E.49% Hint:Choose smart Numbers Let total votes in County A = 3x. Let total votes in County B = x. Hence total votes in Count A & B together = 4x Given that, 0.52(4x) = 0.61(3x) + n(x) So, 2.08x = 1.83x + nx So, n = 0.25 = 25% Hence option A  Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimusprep.com/gmatondemandcourse



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12685
Location: United States (CA)

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
28 Feb 2015, 15:06
Hi All, unceldolan wrote: A : B : Total 3 : 1 : 4
Say there are a total of 100 votes. 100/4 = 25. Three parts of the 100 are in country A. So 75. Rest is in country B. Thus 25, A.
Wasn't quite sure, so this was an elevated guess, does this work? Or was it luck? :D The answer selected by this user IGNORES the percents that we're meant to use, and it's essentially just 'dumb luck' that the user got the question correct. Here's how you can TEST VALUES to get to the correct answer. Since we have 3 times as many voters in Country A as in Country B, let's start there.... Country A = 300 voters Country B = 100 voters We're told that the candidate won 61% of the votes in A and 52% of the votes in TOTAL. We're asked for the percent of votes that the candidate won in Country B. From this information, we can set up the following equation... [(.61)(300) + (X)(100)]/400 = .52 183 + 100X = 208 100X = 25 X = 25/100 = 25% Final Answer: As a side note, the Official GMAT tends to design questions that won't allow for this type of 'coincidence' to be the correct answer. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



Senior SC Moderator
Joined: 22 May 2016
Posts: 2037

In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
20 Nov 2017, 18:30
thevenus wrote: In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ? A.25% B.27% C.34% D.43% E.49% Hint:Choose smart Numbers \(\frac{A}{B}=\frac{3}{1}\) I just used those numbers, as you would in a mixture problem. Let A = 3 Let B = 1 Resultant percentage = .52(A + B) = .52(4) Let x = percent of vote won in B .61(3) + x(1) = .52(4) 1.83 + x = 2.08 x = 2.08  1.83 x = .25 * 100 = 25 percent Answer A
_________________
___________________________________________________________________ For what are we born if not to aid one another?  Ernest Hemingway



Senior Manager
Status: love the club...
Joined: 24 Mar 2015
Posts: 267

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
21 Nov 2017, 03:47
thevenus wrote: In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ? A.25% B.27% C.34% D.43% E.49% Hint:Choose smart Numbers hi lets think this way the voters, the weights, in country A and B are in the ratio of 3 : 1 now, set the weighted average equation 61 * 3 + 1 * b ____________ = 52 4 solving for b, we get the desired result: 25% thanks cheers through the kudos button if this helps you anyway



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
22 Nov 2017, 12:13
thevenus wrote: In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ?
A.25% B.27% C.34% D.43% E.49% We can let the number of votes cast in County B = x and thus the number of votes cast in County A = 3x. We can create the following equation where p = percent of vote candidate Smith won in County B: 0.61(3x) + (p/100)x = .52(3x + x) 61(3x) + px = 52(4x) 183x + px = 208x 183 + p = 208 p = 25 Answer: A
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Senior Manager
Joined: 08 Jun 2013
Posts: 448
Location: India
GPA: 3.82
WE: Engineering (Other)

Re: In an election, candidate Smith won 52% of the total vote in
[#permalink]
Show Tags
08 Oct 2018, 08:48
To find the percent of votes won in County B, we need to recognize that the total votes won is the sum of the votes in the 2 counties and that the number of votes won in each county is the percentage won multiplied by the number of voters. If we let x% be the percent won in County B, we can write this equation: (61% of County A voters) + (x% of County B voters) = 52% of all voters, or 0.61(County A voters) + (x/100) (County B voters) = 0.52(all voters). We don't know the number of voters, but we do know that the ratio of County A voters to County B voters is 3:1. Thus, 3/4 of the voters are in County A and 1/4 are in County B. Now suppose that V is the total number of voters, meaning that we have V voters in County A and V voters in County B. So, our original equation becomes 0.61*(3/4) v + (x/100) (1/4) v = 0.52v. Notice that V appears in each term, so it can be cancelled out. In other words, since we know the proportion of voters in each county, we don't need to know the actual number of voters. In fact, we can simply think of the overall percentage won, 52%, as the weighted average of the percentages won in each county, where the weights are each county's fraction of the total voters. To solve for x, let's get rid of the fractions by multiplying both sides by 400. This gives us 0.61(300) + x = 208, 183 + x = 208, or x = 208  183 = 25. The percent of the voters voting for candidate Smith was 25%. Choice (A) is correct.
_________________
It seems Kudos button not working correctly with all my posts...
Please check if it is working with this post......
is it?....
Anyways...Thanks for trying




Re: In an election, candidate Smith won 52% of the total vote in &nbs
[#permalink]
08 Oct 2018, 08:48






