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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 18 Feb 2011, 14:23
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A
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C
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Question Stats:

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

A. 18000
B. 22000
C. 24000
D. 26000
E. 32000
[Reveal] Spoiler: OA

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Re: Arithmetic- mayoral election [#permalink]

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New post 18 Feb 2011, 14:32
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Baten80 wrote:
In a mayoral election, Candidate X received 1/3 more votes than candidate Y, and Candidate Y received 1/4 fewer votes than Z. If Z received 24,000 votes how many votes did candidate X received?

18000
22000
24000
26000
32000


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: Arithmetic- mayoral election [#permalink]

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New post 19 Feb 2011, 14:36
X=4/3*Y
Y=3/4*Z
Hence X = Z = 24000
Re: Arithmetic- mayoral election   [#permalink] 19 Feb 2011, 14:36
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