Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - 13.1 Voting Methods - Exercise Set 13.1: 9

Answer

Professor Darwin has the highest number of first-place votes, so Professor Darwin is declared the new division chair using the plurality method.

Work Step by Step

Using the plurality method, the candidate which has the most first-place votes is declared the winner of the election. We can find the number of first-place votes for each professor. The number of first-place votes for Professor Hawking is 12 + 2 which is 14 votes. The number of first-place votes for Professor Einstein is 22 votes. The number of first-place votes for Professor Freud is 20 votes. The number of first-place votes for Professor Darwin is 30 votes. Professor Darwin has the highest number of first-place votes, so Professor Darwin is declared the new division chair using the plurality method.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.