Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - 13.3 Apportionment Method - Exercise Set 13.3: 7

Answer

State A is apportioned 3 seats. State B is apportioned 5 seats. State C is apportioned 12 seats. State D is apportioned 15 seats. State E is apportioned 22 seats.

Work Step by Step

We can use the modified divisor $d = 32,920$ to find the modified quota of each state. State A: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{126,316}{32,920}$ $modified~quota = 3.84$ State B: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{196,492}{32,920}$ $modified~quota = 5.97$ State C: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{425,264}{32,920}$ $modified~quota = 12.92$ State D: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{126,316}{32,920}$ $modified~quota = 15.99$ State E: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{126,316}{32,920}$ $modified~quota = 22.03$ To find each state's apportioned seats using Jefferson's method, we round the modified quota down to the nearest whole number. State A is apportioned 3 seats. State B is apportioned 5 seats. State C is apportioned 12 seats. State D is apportioned 15 seats. State E is apportioned 22 seats.
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