Select the correct answer.

The junior and senior classes at Central High School were asked to choose a destination for a field trip. The results are shown in the given two-way frequency table.

Central High School Field Trip Destination

\begin{tabular}{|c|c|c|c|c|}
\cline {2-5}
\multicolumn{1}{c|}{} & Amusement Park & Museum & Broadway Show & Total \\
\hline
Juniors & 57 & 21 & 42 & 120 \\
\hline
Seniors & 64 & 44 & 58 & 166 \\
\hline
Total & 121 & 65 & 100 & 286 \\
\hline
\end{tabular}

What percentage of surveyed students chose the amusement park?

A. [tex]$47.50\%$[/tex]

B. [tex]$19.93\%$[/tex]

C. [tex]$42.31\%$[/tex]

D. [tex]$39.55\%$[/tex]



Answer :

To determine the percentage of students who chose the amusement park, follow these steps:

1. Identify the total number of students surveyed:
[tex]\[ \text{Total students} = 286 \][/tex]

2. Identify the number of students who chose the amusement park:
[tex]\[ \text{Students who chose the amusement park} = 121 \][/tex]

3. Calculate the percentage of students who chose the amusement park:
[tex]\[ \text{Percentage} = \left( \frac{\text{Students who chose the amusement park}}{\text{Total students}} \right) \times 100 \][/tex]

4. Substitute the values:
[tex]\[ \text{Percentage} = \left( \frac{121}{286} \right) \times 100 \][/tex]

5. Simplify the calculation (using the known result):
[tex]\[ \text{Percentage} = 42.31\% \][/tex]

Based on these steps, the correct percentage of surveyed students who chose the amusement park is:
[tex]\[ \boxed{42.31\%} \][/tex]

Hence, the correct answer is:
[tex]\[ \text{C. } 42.31\% \][/tex]