Back to 11.4 Apportionment Methods

11.4 Exercise 19

Avg difficulty 2.5

Let’s use the results from the example, the example, the example, and the example to compare the four apportionment methods we have discussed. The following table summarizes the results of the results of the Hamilton, Jefferson, Adams and Webster methods when applied to the apportionment of 616 schools to Hawaiian counties.

Hawaii Honolulu Kalawao Kauai Maui
Under 19 years old 46,310 224,230 20 16,560 38,450
Hamilton 87 424 1 31 73
Jefferson 87 425 1 31 72
Adams 88 422 1 32 73
Webster 87 424 1 31 73
  1. Do any of the apportionment methods result in the same apportionment? If so, which ones?
  2. Which apportionment method would the citizens of the largest county likely favor most and least? Justify your answer.
  3. As a group, which apportionment method would the citizens of the other four counties likely favor most and least? Justify your answer.

OpenStax Contemporary Mathematics, 11.4 Apportionment Methods, exercise 19

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.