A county is divided into three districts with the populations shown below. There are 10 seats on the county council that need to be apportioned, using the Hamilton method. Find the apportionment for the Boxwood district. $$\begin{array} { l c }
\text { District } & \text { Population } \
\text { Applewood } & 8280 \
\text { Boxwood } & 4600 \
\text { Central } & 5220
\end{array}$$
A) 2
B) 3
C) 1
D) 4

Question

A county is divided into three districts with the populations shown below. There are 10 seats on the county council that need to be apportioned, using the Hamilton method. Find the apportionment for the Boxwood district. $$\begin{array} { l c } 
\text { District } & \text { Population } \
\text { Applewood } & 8280 \
\text { Boxwood } & 4600 \
\text { Central } & 5220
\end{array}$$
A) 2
B) 3
C) 1
D) 4

Quizplus · Accepted Answer

The Hamilton method of apportionment involves dividing the total population by the number of seats to get a standard divisor, then dividing each district's population by this divisor to determine the initial allocation of seats. Any remaining seats are distributed one by one to the districts with the largest fractional remainders until all seats are allocated.Total population = 8280 + 4600 + 5220 = 18100Standard divisor = Total population / Number of seats = 18100 / 10 = 1810Quota for Boxwood = Boxwood population / Standard divisor = 4600 / 1810 ≈ 2.54The initial allocation for Boxwood based on the whole number part of the quota is 2 seats.

A County Is Divided into Three Districts with the Populations