Math, asked by mahalakshminivara, 9 months ago

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

Answered by amitnrw
6

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

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