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In an upcoming election, 60% of rural voters will vote for Candidate A, while the rest will vote for Candidate B; 20% of urban 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 (rural and urban) that must be rural (not urban) in order for Candidate A to win the election?

Respuesta :

Using proportions, it is found that the lowest percentage of voters that must be rural for Candidate A to win is of 75%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion that votes for Candidate A is of:

  • 60% of x, which are rural voters.
  • 20% of (1 - x), which are urban voters.

Candidate A wins the election if the sum of these proportions is greater than 50% = 0.5, hence:

0.6x + 0.2(1 - x) > 0.5

0.6x + 0.2 - 0.2x > 0.5

0.4x > 0.3

x > 3/4

x > 0.75

x > 75%

More can be learned about proportions at https://brainly.com/question/24372153

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