Proportional Distribution of the contradictions in Alabama

Source: Internet
Author: User

Question: The number of representatives sent from each state to the House of Representatives should be proportional to the population of the State, but the problem is that Members of the House of Parliament cannot be divided. How to Deal with the decimals in the proportion can make the final solution as fair as possible.

 

For example, the population of the five States is: (a) 9061, (B) 7179, (c) 5259, (d) 3319, and (e) 1182. The total number is 26000.

 

In general, the ratio of each state population divided by the total number of States is 0.3485, 0.2761, 0.2023, 0.1277, and 0.0455. If the number of seats in the House of Representatives is 26, the number of seats that each State deserves is: 9.061, 7.179, 5.259, 3.319, and 1.182. At this time, the total number of digits is 25. The remaining one should be given the highest decimal proportion, that is, adding one more digit to D. If the number of seats in the House of Representatives is 27, the number of seats that each State deserves is 9.410, 7.455, 5.461, 3.447, and 1.227, the total number of seats is 25, and the remaining two digits should be given the highest decimal proportion, that is, B and C each add one more. In this way, when the number of States remains unchanged, a State loses a representative in a larger house of representatives. This is the contradiction between the two.

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