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Exercise 15

Avg difficulty 2.5

A small country consists of three states, whose populations are listed below.

ABC
6,0006,0002,000

  1. If the legislature has 10 seats, use Hamilton's method to apportion the seats.

  2. If the legislature grows to 11 seats, use Hamilton's method to apportion the seats.

  3. Explain what happened in part b. What do you think would be a fair solution?

  4. Try Jefferson's method for 11 seats. Does that solve the problem?

Lee et al., Math in Society, §5.1 Apportionment, Exercise 15

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.