A certain city with a population of 132,000 is to be divided : PS Archive
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# A certain city with a population of 132,000 is to be divided

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Intern
Joined: 11 Oct 2006
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Location: Indianapolis
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A certain city with a population of 132,000 is to be divided [#permalink]

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04 Nov 2006, 19:52
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A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent reater than the population of any other district. What is the minimum possible population that the least populated district could have?
A) 10,700
B) 10,800
C) 10,900
D) 11,000
E) 11,100

could anyone please explain how they solved through for the answer?
Manager
Joined: 22 Jul 2006
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04 Nov 2006, 21:14
difference should not be greater than 10% between any two cities...

so the only way possible is

x, 1.1x, 1.1x

so x+1.1*10*x = total population, solve for x....
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Joined: 05 Oct 2006
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Re: PS: City districts [#permalink]

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05 Nov 2006, 05:03
n= population of least populated district

others will have no more than 110% of n

n + (1.1*n)*10 = 132000

n= 11000
Re: PS: City districts   [#permalink] 05 Nov 2006, 05:03
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# A certain city with a population of 132,000 is to be divided

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