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 -

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}
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Solution

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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: Initial Seats = 3 Grant: Initial Seats = 5 Colton: Initial Seats = 18 Davis: Initial Seats = 9 Hayes: Initial Seats = 8 McKinley: Initial Seats = 6

Remaining seats to allocate: 4

Final Answer

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.

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