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A certain state with a population of 130,000 is to be divided into 11
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30 Mar 2019, 13:12
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Difficulty:
65% (hard)
Question Stats:
43% (01:43) correct 57% (02:50) wrong based on 30 sessions
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A certain state with a population of 130,000 is to be divided into 11 new districts, and no district has a population that is more than 20 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Re: A certain state with a population of 130,000 is to be divided into 11
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30 Mar 2019, 13:31
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As per the question, since "no district has a population that is more than 20 percent greater than the population of any other district", then the populations of 11 districts should be in the range of x and 1.2x
To minimize the value of x, we should make only one district to have the minimum number of population and the rest 10 districts to have 1.2x of population.
x + (10 ∗ 1.2x) = 130,000 13x = 130,000 x = 10,000
A certain state with a population of 130,000 is to be divided into 11
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30 Mar 2019, 13:15
dabaobao wrote:
A certain state with a population of 130,000 is to be divided into 11 new districts, and no district has a population that is more than 20 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
A. 9,900 B. 10,000 C. 10,200 D. 10,400 E. 10,600
Solution
As "no district has a population that is more than 20 percent greater than the population of any other district", then the populations of 11 districts should be in the range: x and 1.2x.
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 1.2x # of population (maximum possible).
Re: A certain state with a population of 130,000 is to be divided into 11
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30 Mar 2019, 13:32
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As per the question, since "no district has a population that is more than 20 percent greater than the population of any other district", then the populations of 11 districts should be in the range of x and 1.2x
To minimize the value of x, we should make only one district to have the minimum number of population and the rest 10 districts to have 1.2x of population.
x + (10 ∗ 1.2x) = 130,000 13x = 130,000 x = 10,000
Answer is B.
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gmatclubot
Re: A certain state with a population of 130,000 is to be divided into 11
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30 Mar 2019, 13:32
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43% (01:43) correct 
