The Clarkstown Central School District covers 4 towns. There are 22 members of the school board, and the 4 towns have the populations shown in the following table:

The Clarkstown Central School District covers 4 towns. There are 22 members of the school board, and the 4 towns have the populations shown in the following table:


Towns Population
A 4,500
B 12,738
C 28,212
D 4,550


1. The school district uses the Hamilton method to apportion its 22 board members to the 4 towns. How many board members are assigned to each town, using this method?
2. The following year, 500 people move out of Town A and into Town C. Now, how many board members does each town have?
3. Compare the results from the 2 years. Do you think they make sense? Are they fair? Why or Why not?

Submit a written solution to this problem. Be sure to address all parts of the problem and state your conclusions clearly and explicitly. Explaining your reasoning in clear, mathematically accurate language and using complete sentences and proper grammar, are critical to your write up.

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