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 - Page 875: 8

Answer

State A is apportioned 54 seats. State B is apportioned 84 seats. State C is apportioned 114 seats. State D is apportioned 148 seats.

Work Step by Step

We can use the modified divisor $d = 7.82$ to find the modified quota of each state. State A: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{424}{7.82}$ $modified~quota = 54.22$ State B: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{664}{7.82}$ $modified~quota = 84.91$ State C: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{892}{7.82}$ $modified~quota = 114.07$ State D: $modified~quota = \frac{population}{d}$ $modified~quota = \frac{1162}{7.82}$ $modified~quota = 148.59$ 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 54 seats. State B is apportioned 84 seats. State C is apportioned 114 seats. State D is apportioned 148 seats.
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