28% of the people eligible to vote are between 20 to 25 years. In an election 75% of
those eligible to vote who were between 20 to 25 years actually voted. In that election
the number of persons between 20 to 25 who actually voted was what percentage of
those eligible to vote?
Ans 1. 22%
2. 25%
3. 28%
4. 21%


Let's solve the problem step-by-step.

Given:
- 28% of the people eligible to vote are between 20 to 25 years old.
- 75% of those eligible to vote who were between 20 to 25 years actually voted.

We need to find the percentage of the total eligible voters that the 20 to 25-year-olds who actually voted represent.

Let \( N \) be the total number of people eligible to vote.

Number of people eligible to vote between 20 to 25 years:
\[ 0.28N \]

Number of people between 20 to 25 years who actually voted:
\[ 0.75 \times 0.28N \]

Now, let's calculate this:
\[ 0.75 \times 0.28N = 0.21N \]

So, 0.21N people between 20 to 25 years actually voted.

We need to find what percentage 0.21N is of the total number of eligible voters \( N \):
\[ \frac{0.21N}{N} \times 100\% = 21\% \]

Thus, the number of persons between 20 to 25 who actually voted was 21% of those eligible to vote.

The correct answer is:

**4. 21%**

Would you like further details or have any questions?

Here are 5 questions you might want to ask:
1. How do you calculate percentages in word problems?
2. What is the process for solving election-related percentage problems?
3. Can you explain more examples involving percentages and voting scenarios?
4. How do you verify your answers in percentage problems?
5. What are some common mistakes to avoid when working with percentages?

Tip: When working with percentage problems, always ensure to convert percentages to decimals when performing calculations and double-check your work for accuracy.

Understand how to calculate the percentage of eligible voters between 20 to 25 years old who actually voted. This problem involves using percentages and proportions in election scenarios. Suitable for Grades 9-12 students.

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