Can somebody explain the math please.
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 i more than 10% greater than the population of any other district. What i the minimum possible population that the least populated district could have?
another way to do is
the average is 12000 so all the 11 district could have a population of 12000. Now if a district needs to have a population lower than 12000, some other must have a population greater than 12000.
lets take C as the least population. then max population = 10900 + 10% of 10900 = 11990. If this were the case, we cann't have a average population of 12000.
so none of the values lower than this will work.
trying D = 11,000 gives max population 12100 ie above 12000 , so this is possible and the answer !