in a election, 75% of landlocked voters will vote for Candidate A, while the rest will vote for Candidate B; 20% of coastal voters will vote for Candidate A, while the rest will vote for Candidate B. Which of the following represents the lowest percentage from all voters combined (landlocked and coastal) must be landlocked (not coastal) in order for Candidate A to win the election?
Answers
Given : in a election, 75% of landlocked voters will vote for Candidate A, while the rest will vote for Candidate B; 20% of coastal voters will vote for Candidate A, while the rest will vote for Candidate B
To find : What is the lowest percentage from all voters combined (landlocked and coastal) must be landlocked (not coastal) in order for Candidate A to win the election
Solution:
Let Say Total Voters landlocked and coastal) = 100V
Landlock Voters = L %
Landlock Voters = = (L/100)100V = LV
coastal Voters = 100V - LV = V(100 - L )
Candidate A got votes
= (75/100) LV + (20/100) V(100 - L )
= (V/100)(75L + 2000 - 20L)
Candidate A Votes should be > 100V/2 to win election
=> (V/100)(75L + 2000 - 20L) > 100V/2
=> 75L + 2000 - 20L > 5000
=> 55L > 3000
=> L > 54.54
=> L = 54.55 or 55
55% the lowest percentage from all voters combined (landlocked and coastal) must be landlocked in order for Candidate A to win the election
Learn more:
In election, between two candidates 10% voters doesn't cast their ...
https://brainly.in/question/7324440
two candidats contested an election one of them secured 58% votes ...
https://brainly.in/question/7495591
In an election contested by two parties, party d secured 12% of the ...
https://brainly.in/question/7283454