A city with a population of 173,460 is to be divided into 9 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?  Choose one.
A) 17,400  B) 17,500  C) 17,600  D) 17,700  E) 17,800
The minimum possible population occurs when all the other districts have a population that is 10% greater than the least populated district.   Let p be the population of the least populated district.   Then 173,460 = p + 8(1.1)p   9.8p=173,460   p = 17,700   The answer is 17,700.
<result>D</result>
A city with a population of 173,460 is to be divided into 9 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?