GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2019, 19:26

### 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

# In an election, candidate Smith won 52 percent of the total vote in Co

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58427
In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

27 Dec 2015, 10:01
00:00

Difficulty:

25% (medium)

Question Stats:

75% (02:17) correct 25% (02:33) wrong based on 124 sessions

### HideShow timer Statistics

In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent 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%

_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15309
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

02 Jan 2016, 18:44
1
Hi All,

This question can be solved by TESTing VALUES.

We're given a series of facts to work with:
1) In an election, candidate Smith won 52 percent of the total vote in Counties A and B.
2) He won 61 percent of the vote in County A.
3) The ratio of people who voted in County A to County B is 3:1

We're asked for the PERCENT of the vote that he won in County B.

Let's TEST VALUES....

Since the ratio of the people who voted is 3:1, let's TEST...
300 people voted in County A
100 people voted in County B

He won 52% of the TOTAL vote...

He won 61% of County A....

208 - 183 = 25 votes won in County B (out of the 100 votes that were cast).

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
VP
Joined: 05 Mar 2015
Posts: 1000
Re: In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

12 Apr 2016, 08:03
Bunuel wrote:
In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent 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%

given voters in ratio 3:1
let A has 300 voters & B has 100 voters
for A 61% voted means 61*300=183 votes
combined for A & B has 400 voters and voted 52% so total votes =208

As B has 100 voters so 25 votes means 25% of votes required

Ans A
Math Expert
Joined: 02 Aug 2009
Posts: 8008
Re: In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

12 Apr 2016, 10:33
1
1
Bunuel wrote:
In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent 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%

Another way to do these type of Q, which involve AVERAGES is WEIGHTED average method or Allegation..

$$A:B = 3:1$$...
A = 61% and AVG = 52%..
so $$B = 52 - \frac{3}{1}( 61-52)$$..
=> 52-3*9 = 52-27 = 25%
A
_________________
VP
Joined: 05 Mar 2015
Posts: 1000
Re: In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

12 May 2016, 10:04
Bunuel wrote:
In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent 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%

Can be done with weighted avg. method also....
w1/w2=(a2-avg)/(avg-a1)
let a2=vote win in country B=x then
3/1=(x-52)/52-61)
x=25%
Ans A
Director
Joined: 31 Jul 2017
Posts: 512
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

31 Jan 2018, 23:17
Bunuel wrote:
In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent 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%

$$a = 3b$$
$$\frac{52(a+b)}{100} = \frac{61a}{100} + \frac{nb}{100}$$
$$n = 25$$
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!
Manager
Joined: 03 Sep 2018
Posts: 179
Re: In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

26 Aug 2019, 03:25
3 methods:

1) scale

x---52---61
--3--:--1--

means 9=x –>52-3x=52-27=25

2) table

61*3
x*1
52*(1+3)

183+x=208 –> x=25

3) Allegation

(52-x)/(61-52)=3/1
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8129
Location: United States (CA)
Re: In an election, candidate Smith won 52 percent of the total vote in Co  [#permalink]

### Show Tags

02 Sep 2019, 19:05
Bunuel wrote:
In an election, candidate Smith won 52 percent of the total vote in Counties A and B. He won 61 percent 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 create the equation:

0.61A + nB = 0.52(A + B)

0.61A + nB = 0.52A + 0.52B

0.09A = 0.52B - nB

and

A/B = 3/1

A = 3B

Substituting, we have:

0.09(3B) = 0.52B - nB

0.27B = 0.52B - nB

nB = 0.25B

n = 0.25 = 25%

Alternate Solution:

Let’s assume that 400 people voted. This means that 300 were in County A and 100 were in County B.

Smith won 52% of the 400 votes, which is 400 x 0.52 = 208 total votes.
He also won 61% of the vote in County A, which is 300 x 0.61 = 183 votes.

This means that his County B vote total is 208 - 183 = 25, which is 25% of the 100 votes cast in County B.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 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: In an election, candidate Smith won 52 percent of the total vote in Co   [#permalink] 02 Sep 2019, 19:05
Display posts from previous: Sort by