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population division

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by gmat740 » Tue Jun 16, 2009 6:12 am
A certain city with a population of 132000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?


[spoiler]Ans: 11,000[/spoiler]
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by Robinmrtha » Wed Jun 17, 2009 2:08 am
let the population of least populous district with population, p, each of the remaining 10 districts would have a population 10% greater than the least populous district or 1.1p.
Total population is 132000

p+10*(1.1p)=132000
12p=132,000
p=11,000
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