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 ratio of senior citizens to people eligible to vote in place B was 1 : 4, out of the total population, what percent population were senior citizens who voted?

  1. 4.1%

  2. 4.4%

  3. 4.8%

  4. 5.1%

  5. 6.2%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Place B: Eligible = 68% of total. Voted = 55% of eligible. Senior citizens who voted = 30% of total senior citizens. Ratio of senior citizens to eligible = 1:4. Let total population = 100. Eligible = 68. Senior citizens = 68/4 = 17. Senior citizens who voted = 30% of 17 = 5.1. Percentage of total population = 5.1%.

AI explanation

Let the total population of place B be 100. Since 68% of the population is eligible to vote, there are 68 eligible voters. Given the 1:4 ratio, the number of senior citizens is 68 / 4, which equals 17. Since 30% of these senior citizens voted, the calculation is 17 * 0.30, resulting in 5.1 people. This means 5.1% of the total population consists of senior citizens who voted.