Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - Chapter 13 Test - Page 890: 6

Answer

Candidate B is selected as the winner using the Borda count method.

Work Step by Step

With the Borda count method, each candidate receives 1 point for each last place vote, 2 points for each second-to-last-place vote, and so on. The candidate with the most points is declared the winner. We can find the total points for each candidate. Candidate A: 3(1200) + 2(900 + 600) + 1(900) = 7500 points Candidate B: 3(900 + 600) + 2(1200) + 1(900) = 7800 points Candidate C: 3(900) + 2(900) + 1(1200 + 600) = 6300 points Since Candidate B received the most points using the Borda count method, Candidate B is selected as the winner.
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