SOLUTION: The population of three states are A: 517 B: 322 C: 160, assume there are 100 delegates are to be appointed. a) Find the apportionment by Hamilton's method A= B= C=

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Question 1036383: The population of three states are A: 517 B: 322 C: 160, assume there are 100 delegates are to be appointed.
a) Find the apportionment by Hamilton's method
A=
B=
C=

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Compute the divisor D = (Total population)/(Number of seats) Find and round down state quotas {(State population)/D}. The leftover fractional parts add up to a whole number of seats.
.
The divisor=total population/number of seats
.
Total population=A+B+C=517+322+160=999
Divisor=999/100=9.99
.
State apportionment =(State population/divisor)
A: 517/9.99=51.75=51
B: 322/9.99=32.23=32
C: 160/9.99=16.01=16
.
The total apportioned delegates are 99, so the additional delegate is given to
A (highest fractional apportionment), so delegates for A total 52.
.