A city with a population of 160,080 is to be divided into 8 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?
Select the correct option
A) 18,200 B) 18,300 C) 18,400 D) 18,500 E) 18,600
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 160,080 = p + 7(1.1)p   8.7p=160,080   p = 18,400   The answer is 18,400.
<result>C</result>
A city with a population of 160,080 is to be divided into 8 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?