Questions: The legislature in a state has 53 seats. Apportion these seats to the six counties below using Hamilton's method.
County - Population - Seats Received
Adams - 93,000 -
Grant - 154,000 -
Colton - 486,000 -
Davis - 249,000 -
Hayes - 223,000 -
McKinley - 156,000 -
Transcript text: The legislature in a state has 53 seats. Apportion these seats to the six counties below using Hamilton's method.
\begin{tabular}{|l|l|l|}
\hline County & Population & Seats Received \\
\hline Adams & 93,000 & \\
\hline Grant & 154,000 & \\
\hline Colton & 486,000 & \\
\hline Davis & 249,000 & \\
\hline Hayes & 223,000 & \\
\hline McKinley & 156,000 & \\
\hline
\end{tabular}
Solution
Solution Steps
Step 1: Calculate the Standard Divisor
The total population is 1361000. Given 53 seats to apportion,
the standard divisor (total population / total seats) is calculated as 1361000 / 53 = 25679.25.
Step 2: Calculate the Standard Quota for each county
The standard quota for each county is calculated by dividing the county's population by the standard divisor.
Adams: Population = 93000, Standard Quota = 3.62
Grant: Population = 154000, Standard Quota = 6
Colton: Population = 486000, Standard Quota = 18.93
Davis: Population = 249000, Standard Quota = 9.7
Hayes: Population = 223000, Standard Quota = 8.68
McKinley: Population = 156000, Standard Quota = 6.07
Step 3: Initial Seat Allocation
Using Hamilton's method, each county is initially allocated seats equal to the integer part of its standard quota.
Adams is allocated 3 seats.
Grant is allocated 6 seats.
Colton is allocated 19 seats.
Davis is allocated 10 seats.
Hayes is allocated 9 seats.
McKinley is allocated 6 seats.