a county is divided into three districts with the population shown below. There are 10 seats on the county counsil that need to be apportioned, using the hamilton method. Find the apportionment for the Applewood district.
District population
applewood 8280
boxwood 4600
central 5220
A. 4 B. 3 C. 5 D. 2
2007-01-03 08:29:21 · 1 answers · asked by Eugene D 1 in Science & Mathematics ➔ Mathematics
Total population = 18,100
D= 18,100/10 = 1,810
Applewood = 8280/D = 4.574
boxweed = 4600/D= 2.541
central = 5220/D = 2.883
So initially the allocation is
applewood =4, boxweed = 2 and central =2
This adds up to just 8 seats so the additional seats are given to the districts having the greatest fractional parts.
So cental gets 1 and applewood gets 1 so final apportioning is
Applewood =5 , boxweed = 2, central = 3
2007-01-03 08:51:40 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋