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A certain city with population of 132,000 is to be divided [#permalink]

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04 Nov 2005, 12:35

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A certain city with 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?

A certain city with a population of 132,000 is to be divided into 11 voting districts is to have a populationn that is more than 10% greater than the population of any other district. What is the minimum possible population that the least populated district could have?

10,700 10,800 10,900 11,000 12,000

population that is 10% greater than the population of any other district..

11000.. 10% of 11000 = 1100.. so the next population will be 12100..
10*12,100 + 11000 = 132000.
_________________

Success is my only option, failure is not -- Eminem

how any why you assumed that the population of the reaming 10 districts will be same ..... Pls explain ....i am kina lost

bewakoof wrote:

gmacvik wrote:

A certain city with a population of 132,000 is to be divided into 11 voting districts is to have a populationn that is more than 10% greater than the population of any other district. What is the minimum possible population that the least populated district could have?

10,700 10,800 10,900 11,000 12,000

population that is 10% greater than the population of any other district..

11000.. 10% of 11000 = 1100.. so the next population will be 12100.. 10*12,100 + 11000 = 132000.

There is not mention that population would be different. This is PS and not CR where the number can be from 1 to 12100. When the division is stated and unless a exception is mentioned it is considered an equal distribution/division.

cool_jonny009 wrote:

bewakoof,

how any why you assumed that the population of the reaming 10 districts will be same ..... Pls explain ....i am kina lost

bewakoof wrote:

gmacvik wrote:

A certain city with a population of 132,000 is to be divided into 11 voting districts is to have a populationn that is more than 10% greater than the population of any other district. What is the minimum possible population that the least populated district could have?

10,700 10,800 10,900 11,000 12,000

population that is 10% greater than the population of any other district..

11000.. 10% of 11000 = 1100.. so the next population will be 12100.. 10*12,100 + 11000 = 132000.

Re: A certain city with a population of 132,000 is to be divided [#permalink]

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12 Apr 2014, 05:32

gmacvik wrote:

A certain city with a population of 132,000 is to be divided into 11 voting districts is to have a populationn that is more than 10% greater than the population of any other district. What is the minimum possible population that the least populated district could have?

10,700 10,800 10,900 11,000 12,000

The question doesn't seem to complete/correct... guess it is 11 voting districts is to have a population that is not more than 10% greater than the population of any other district.

A certain city with a population of 132,000 is to be divided into 11 voting districts is to have a populationn that is more than 10% greater than the population of any other district. What is the minimum possible population that the least populated district could have?

10,700 10,800 10,900 11,000 12,000

The question doesn't seem to complete/correct... guess it is 11 voting districts is to have a population that is not more than 10% greater than the population of any other district.

A certain city with 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?

A. 10,700 B. 10,800 C. 10,900 D. 11,000 E. 11,100

As "no district is to have a population that is more than 10 percent greater than the population of any other district", then the populations of 11 districts should be in the range: \(x\) and \(1.1x\).

So we want to minimize \(x\). To minimize \(x\) we should make only one district to have that # of population (minimum possible) and the rest 10 districts to have \(1.1x\) # of population (maximum possible).

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