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 popu…

Question

asked Jul 21, 2020 193k views

1 Answer

Chris Sidi · Answer 1 · 2020-07-26T18:42:24+0000

Answer: There are atleast 11000 population that the least populated district could have.

Explanation:

Let the number of population that the least populated district could have be 'x'.

Since total number of population that is to be divided = 132000

Number of voting district = 11

According to question, no district is to have a population that is more than 10 percent greater than the population of any other district.

So, our equation becomes,

$x+10*1.1x=132000\\\\x+11x=132000\\\\121x=132000\\\\x=(132000)/(12)\\\\x=11000$

Hence, there are atleast 11000 population that the least populated district could have.