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?

Respuesta :

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

Step-by-step 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,

[tex]x+10\times1.1x=132000\\\\x+11x=132000\\\\121x=132000\\\\x=\dfrac{132000}{12}\\\\x=11000[/tex]

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