Multiple choice

Passage

Directions: Study the table carefully and answer the following question. Place Percentage of People Eligible to Vote out of Total Population Percentage of People Who Voted out of Total People Eligible to Vote Percentage of Senior Citizens Who Voted out of Total Senior Citizens A 72% 80% 45% B 68% 55% 30% C 55% 30% 20% D 60% 50% 75% E 45% 60% 30% Assume that all senior citizens are eligible to vote.

If the populations of places A, B and C are in the ratio 1 : 2 : 3, what percent of people out of the total people from places A, B and C were eligible to vote?

  1. 56.67%

  2. 60.50%

  3. 61.67%

  4. 62.17%

  5. 64.25%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let populations be A=100, B=200, C=300. Eligible voters: A = 72% of 100 = 72. B = 68% of 200 = 136. C = 55% of 300 = 165. Total eligible = 72 + 136 + 165 = 373. Total population = 600. Percentage = 373 / 600 = 62.166...% = 62.17%.

AI explanation

Apply the weighted average formula to the eligible voter percentages, using the population ratio values of 1, 2, and 3 as weights. The total eligible population across A, B, and C is (1 * 0.72) + (2 * 0.68) + (3 * 0.55), which equals 3.73. Divide this sum by the total population weight of 6 to get 0.6216. Multiplying by 100 gives the final percentage of 62.17%.

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