In an election of a municipality two candidates A and B stood for the post of Mayor and 25000 people were in the voter list. Voters were supposed to cast the vote for a single candidate. 12000 people cast vote for A, 10000 people cast for B and 1000 people cast vote even for both. Show these informations in a Venn-diagram. How many people didn't cast vote ? Find it. How many votes were valid ? Find it.

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04-09-2022
Mathematics

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In an election of a municipality two candidates A and B stood for the post of Mayor and 25000 people were in the voter list. Voters were supposed to cast the vote for a single candidate. 12000 people cast vote for A, 10000 people cast for B and 1000 people cast vote even for both. Show these informations in a Venn-diagram. How many people didn't cast vote ? Find it. How many votes were valid ? Find it.

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tripatsingh039 tripatsingh039 · Answer 1 · 2022-09-07T20:28:52-04:00

Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election

Given that In a municipal election, two candidates, A and B, ran for the position of Mayor, and 25000 people voted. Voters were supposed to vote for only one candidate. A received 12000 votes, B received 10,000 votes, and 1000 cast votes for A and B both.

Number of votes for A=12,000

Number of votes for B=10,000

1000 cast votes to Both A and B, these votes are not valid because each one is supposed to vote only for one.

Therefore, the number of votes not valid is 1000

Total people cast vote= sum of votes for every party

Total people cast vote=12,000+10,000+1000

Total people casted vote=23,000

Therefore, Venn diagram{image attached},2000 people didn't cast their vote and 1000 votes are not valid in the election

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