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------------------------------------------------ Identify the most appropriate translation for the following question:

What percent of 68 is [tex]$24$[/tex]?

Choose the correct answer below.

A. [tex]n \cdot 0.24 = 68[/tex]
B. [tex]n = 0.68 \cdot 24[/tex]
C. [tex]n = 0.24 \cdot 68[/tex]
D. [tex]n \cdot 24 = 68[/tex]
E. [tex]n \cdot 0.68 = 24[/tex]
F. [tex]n \cdot 68 = 24[/tex]

Answer :

Certainly! Let's break down and solve the problem step-by-step:

### Problem
We need to identify the correct equation that translates the question "What percent of 68 is [tex]$24$[/tex]?"

### Step-by-Step Solution

1. Understanding the Question:
- We want to find out what percent of 68 equals 24.

2. Setting Up the Equation:
- Let's denote the unknown percentage by [tex]\( n \)[/tex].
- Translating the question into a mathematical equation: [tex]\( n \cdot 68 = 24 \)[/tex].

3. Solving for [tex]\( n \)[/tex]:
- To find [tex]\( n \)[/tex], we need to isolate [tex]\( n \)[/tex] on one side of the equation.
- So, we divide both sides of the equation by 68:
[tex]\[
n = \frac{24}{68}
\][/tex]

4. Interpreting the Answer:
- Calculating this gives us [tex]\( n \approx 0.35294117647058826 \)[/tex].
- Since [tex]\( n \)[/tex] represents a percent as a decimal, to interpret it as a percentage, you can multiply by 100:
[tex]\[
n \approx 0.35294117647058826 \times 100 \approx 35.29\%
\][/tex]

5. Identifying the Correct Option:
- Looking at the multiple-choice options given, the appropriate translation of the equation [tex]\( n \cdot 68 = 24 \)[/tex] matches option F.

### Conclusion

The correct translation for the question "What percent of 68 is [tex]\( 24 \)[/tex]?" is:
[tex]\[
\boxed{F. \; n \cdot 68 = 24}
\][/tex]