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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, 00:08
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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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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
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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 17 Mar 2014, 04:07
1
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KUDOS
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
Expert Post
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Kudos [?]: 106061 [0], given: 11607

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

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New post 23 Mar 2014, 07:29
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.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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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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Abhishek....

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Re: In a mayoral election, Candidate X received 1/3 more votes t   [#permalink] 23 Nov 2015, 12:47
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