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(B) Let the total number of votes polled be $y$.The winning candidate received $84 \%$ of the total votes,which is $0.84y$.The losing candidate receiv

Vedclass · Accepted Answer

$700$

Vedclass · Answer

(B) Let the total number of votes polled be $y$.The winning candidate received $84 \%$ of the total votes,which is $0.84y$.The losing candidate received the remaining votes,which is $100 \% - 84 \% = 16 \%$ of the total votes,which is $0.16y$.The winner is elected by a majority of $476$ votes,which means the difference between the votes of the winner and the loser is $476$.Therefore,$84 \% y - 16 \% y = 476$.$68 \% y = 476$.$0.68y = 476$.$y = \frac{476}{0.68} = 700$.Thus,the total number of votes polled is $700$.

In an election,a candidate who gets $84 \%$ of the votes is elected by a majority of $476$ votes. What is the total number of votes polled?

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