Angelica M.
Vaguchay BSEd English 1B April,11,2023
Practice Exercises
1.) The country named Erau has five states and a total of 200 seats available in it’s House of
Representatives. The number of seats that each state receives is proportional to the population of the
state. The populations of the states are given in the table below.
State 1 2 3 4 5 Total
Population 3,500,000 1,200,000 530,000 999,000 771,000 7,000,000
SD = 7,000,000 ÷ 200 is equal to 35,000
a) Use Hamilton’s method to apportion the 200 seats in the House of Representatives.
State Population Quotient SQ Final
1 3,5000,000
2 1,200,000
3 530,000
4 999,000
5 771,000
Total 7,000,000
b) Use Jefferson’s method to apportion the 200 seats in the House of Representatives.
MD = 34,500
State Population Quotient SQ Final
1 3,5000,000
2 1,200,000
3 530,000
4 999,000
5 771,000
Total 7,000,000
c) Use Webster’s method to apportion the 200 seats in the House of Representatives.
State Population Quotient Initial Allocation Final
1 3,5000,000
2 1,200,000
3 530,000
4 999,000
5 771,000
Total 7,000,000
d) Use Huntington-Hill method to apportion the 200 seats in the House of Representatives.
State Population Quotient Lower Quota Geometric Mean Initial Final
1 3,5000,000
2 1,200,000
3 530,000
4 999,000
5 771,000
Total 7,000,000
2.) Last year a city had three school districts: North with a population of 5,200, South, with a
population of 10,600 children, and West, with a population of 15,100.
a) Use Hamilton’s Method
District Population Quotient SQ Final
1 3,5000,000
2 1,200,000
3 530,000
4 999,000
5 771,000
Total 7,000,000