Voting Districts

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wally: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Wed Nov 05, 2008 12:24 am

by wally » Mon Apr 13, 2009 7:25 pm

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 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]

I can't quite work out how to set this up algebraically. Some insight would be appreciated. Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Mon Apr 13, 2009 7:25 pm

wally: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Wed Nov 05, 2008 12:24 am

by wally » Mon Apr 13, 2009 9:07 pm

Solution found:

https://www.beatthegmat.com/voting-districts-t34629.html

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