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In a mayoral election, Candidate X received 1/3 more votes t

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In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 17 Mar 2014, 00:07
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

Problem Solving
Question: 167
Category: Algebra Applied problems
Page: 84
Difficulty: 550


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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 17 Mar 2014, 04:07
4
1
Z = 100%
Y = 1/4th less than Z = 3/4(Z)
X = 1/3rd more that Y = 4/3 (Y)

Hence X = 4/3*3/4*Z = Z

Answer C
Time Taken 1:05
Difficulty level 550
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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 17 Mar 2014, 00:08
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SOLUTION

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

Z=24 --> Y received 1/4 fewer votes than Z --> Y=3/4*Z=18;
X received 1/3 more votes than Y --> X=Y+1/3*Y=24.

Answer: C.
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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 17 Mar 2014, 03:25
2
2
Candidate X= Candidate Y+1/3 CandidateY....1
Candidate Y= Candidate Z-1/4 Candidate Z...2

Candidate Z= 24000 (given)

Solve eq.2
Candidate Y= 18000

Then solve eq. 1

Candidate X= 24000

Answer: C
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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 22 Nov 2015, 20:06
Another problem where you should put off doing the math!

X=(4/3)(3/4)24
x=24
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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 23 Nov 2015, 12:47
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Bunuel wrote:
In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?


Let the total no of votes received by z be 12 ( LCM of 3 and 4)

Y received 9 ( 1/4 fewer votes than Candidate Z.)

X received 12 (1/3 more votes than Candidate Y)

So, that means both X and Z received same number of votes.

Hence X received 24,000 votes!!
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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 31 Jan 2018, 08:48
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000



GIVEN: Candidate Z received 24,000 votes

Candidate Y received 1/4 fewer votes than Candidate Z
In other words, Candidate Y received 3/4 of the votes that Candidate Z received
3/4 of 24,000 = (3/4)( 24,000) = 18,000

Candidate X received 1/3 more votes than Candidate Y
1/3 of 18,000 = 6,000
Number of votes that Candidate X received = 18,000 + 6,000 = 24,000

Answer: C

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Re: In a mayoral election, Candidate X received 1/3 more votes t  [#permalink]

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New post 17 Jul 2019, 02:32
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

(A) 18,000
(B) 22,000
(C) 24,000
(D) 26,000
(E) 32,000

Problem Solving
Question: 167
Category: Algebra Applied problems
Page: 84
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!



z=24K
y=3/4*34K = 18K
x=4/3*18K = 24K

IMO C
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Re: In a mayoral election, Candidate X received 1/3 more votes t   [#permalink] 17 Jul 2019, 02:32
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