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 - Page 851: 28

Answer

Since Soup B received the most points, Soup B is declared 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 who receives the most points is declared the winner. We can find the total points for each candidate. Soup A: 4(34) + 3(0) + 2(0) + 1(30 + 6 + 2) = 174 points Soup B: 4(30) + 3(34+2) + 2(6) + 1(0) = 240 points Soup C: 4(6) + 3(30) + 2(34+2) + 1(0) = 186 points Soup D: 4(2) + 3(6) + 2(30) + 1(34) = 120 points Since Soup B received the most points, Soup B is declared the winner using the Borda count method.
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