Explanation Given: The children of Happy Faces Preschool are voting on their favorite classroom animal. The choices are hamster (H), iguana (I), lemming (L), and salamander (S). The results of the election are given in the following table. Number of votes 43 30 29 26 14 First S L I H H Second L H H I I Third I I L S L Fourth H S S L S Formula used: Voting method use: Plurality with Elimination: 1. Each voter votes for one candidate. 2. If a candidate receives a majority of votes, that candidate is declared the winner of the election. 3. If no candidate receives a majority, eliminate the candidate with the fewest votes and hold another election (if there is a tie for the fewest votes, eliminate all candidates tied for the fewest votes). 4. Repeat this process until a candidate receives a majority. Calculation: Given that the total number of votes is 142, means that the majority out of 142 votes is 72 or more votes. Now, first count the number of first place votes for each candidate. The first place votes for ( S ) = 43 , ( L ) = 30 , ( I ) = 29 and ( H ) = 40 . To receive a majority of votes, a candidate must have more than half of the votes. Since there are 142 people voting must be 72 or more votes to receive a majority

10th Edition

ISBN: 9780135835210

Author: Angel

Publisher: PEARSON

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Chapter 14, Problem 10T

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To find: The animal which wins the election using the plurality with elimination method.

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The animal which wins the election using the plurality with elimination method.

Solution Summary: The author explains the plurality with elimination method used by the children of Happy Faces Preschool.

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To find: The animal which wins the election using the plurality with elimination method.

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Chapter 14 Solutions