A simple problem

[Anu Dhanuka]

A certain city with population of 132,000 is to be divided into 11 voting districts, and no districts is to have population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least population district could have?

Please answer.

[JDav]

11,000. The minimal district will come about from having all ten of the other districts exactly 10% bigger than the minimal one. Algebraically...

X = pop. in smallest district.
1.1 * X = pop in the other 10 districts. So,
132,000 = X + 10(1.1*X) = 12X.