https://file.aiquickdraw.com/mathbot/file/172707580465080hajm53.jpg

Let's break down the problem from the image:

You are given that two numbers are 6% and 24% of a third number. The question asks for the percentage of the first number in terms of the second number.

### Let’s define the variables:
- Let the third number be \( x \).
- The first number is \( 6\% \) of \( x \), i.e., \( \frac{6}{100} \times x = 0.06x \).
- The second number is \( 24\% \) of \( x \), i.e., \( \frac{24}{100} \times x = 0.24x \).

### Now, you are asked to find the percentage of the first number relative to the second number:

\[
\text{Percentage of the first number relative to the second number} = \frac{0.06x}{0.24x} \times 100
\]

The \( x \) terms cancel out:

\[
\frac{0.06}{0.24} \times 100 = \frac{6}{24} \times 100 = 0.25 \times 100 = 25\%
\]

So, the answer is **25%**, which corresponds to option **(C)**.

Would you like more details on this solution, or do you have any other questions?

Here are five related questions to expand on this:
1. What is the process to find the percentage of one number relative to another?
2. How can ratios help simplify percentage problems like this?
3. What is the importance of canceling common terms in equations?
4. How does this concept apply in real-world situations, like discounts or growth rates?
5. Can we solve similar problems with different percentages? How?

**Tip**: Whenever you are dealing with percentage problems, try expressing everything as a fraction of the base number to simplify the comparison.

If the given two numbers are respectively 6% and 24% of a third number, then what percentage is the first number of the second?

Solve the percentage problem where two numbers are given as percentages of a third number. Find what percentage the first number is of the second using simple algebra and proportions. Suitable for students in Grades 6-8.

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