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The enigma of voting

The enigma of voting

Mr. Chairman of the table, ”said the secretary,“ the call to vote in which the attendees who supported the motion were to stand was approved with a difference of votes equal to one third of the opposition's components.

But since the result has been due to the lack of chairs, preventing eleven members from sitting down to add their votes as negative, we want to inform you that we have rejected the proposal by a difference of one vote. You can tell me What is the total number of votes cast in this vote?

Solution

147 votes were cast.

In the first count the affirmative vote was a negative of 4/3, but when 11 votes were transferred from the affirmative vote to the negative, the negative had the majority. This shows that 21 was 1/7 of the total number of votes.