SOLUTION: There are 75 people present to vote new members into their organization. There are 12 candidates and only 6 candidates can be voted in to become members of the organization. In o

Question 75159: There are 75 people present to vote new members into their organization. There are 12 candidates and only 6 candidates can be voted in to become members of the organization. In order to become part of the organization, you must receive 75% of the vote amongst the 75 people that are voting. These 75 people can vote for up to 6 candidates during each voting session. Is it possible for all 6 candidates to get 75% of the vote if voters are selecting anywhere between 1 to 6 candidates on each ballot? If so, how many times must the group vote in order to select 6 people to meet the 75% requirement?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 75 people present to vote new members into their organization. There are 12 candidates and only 6 candidates can be voted in to become members of the organization. In order to become part of the organization, you must receive 75% of the vote amongst the 75 people that are voting. These 75 people can vote for up to 6 candidates during each voting session.
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Is it possible for all 6 candidates to get 75% of the vote if voters are selecting anywhere between 1 to 6 candidates on each ballot?
6 votes each by 75 persons = 450 votes
75%(450)=337.5 votes
337.5/6 = 56.25
75%(75)=56.25
So it is possible for all 6 candidates to get 75% of the vote.
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If so, how many times must the group vote in order to select 6 people to meet the 75% requirement?
N/A
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Cheers,
Stan H.

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