While many different apportionment methods have been devised and advocated, only four (H...

While many different apportionment methods have been devised and advocated, only four (Hamilton, Jefferson, Webster, and Huntington–Hill) have been implemented with the U.S. House of Representatives. One method was advocated in 1832 by John Quincy Adams, the sixth president of the United States, and bears his name. In Adams’ method, also known as the method of smallest divisors, a modified divisor is chosen so that all modified quotas can be rounded upward and have a sum that equals the number of seats to be apportioned; this is in contrast to Jefferson’s method, in which all modified quotas are rounded downward.

Use Adams’ method to apportion the 105 House seats in problem 17.

Problem 17:

In 1791, Thomas Jefferson helped to convince President George Washington to veto a bill that established a 120-member House of Representatives to be apportioned using Hamilton’s method. When the House could not override Washington’s veto, a new bill was passed that established a 105-member House to be apportioned using Jefferson’s method. In 1800, there were 141 seats in the House. The following table contains apportionment population totals for the states that were part of the United States in the years 1790 and 1800.

Use the 1790 apportionment population totals and Jefferson’s method to apportion the 105 House seats.