\begin{tabular}{|c|c|c|c|c|c|}
\hline \multicolumn{6}{|c|}{ School Lunch Preference by Grade } \\
\hline & 9th Grade & 10th Grade & 11th Grade & 12th Grade & Total \\
\hline Pizza & 81 & 100 & 54 & 27 & 262 \\
\hline Hamburgers & 13 & 32 & 85 & 90 & 220 \\
\hline Grilled Cheese & 76 & 108 & 107 & 97 & 388 \\
\hline Total & 170 & 240 & 246 & 214 & 870 \\
\hline
\end{tabular}

The two-way table shown above gives data on school lunch preferences by students at a local high school separated by grade. What percent of students prefer hamburgers?

[tex]\[ [?] \% \][/tex]

Round to the nearest whole percent.



Answer :

To determine the percentage of students who prefer hamburgers, follow these steps:

1. Identify the relevant totals:
- The total number of students surveyed is given at the bottom-right of the table: [tex]\( 870 \)[/tex] students.
- The number of students who prefer hamburgers can be found in the column labeled "Hamburgers": [tex]\( 220 \)[/tex] students.

2. Calculate the percentage of students who prefer hamburgers:
- To find this percentage, you divide the number of students who prefer hamburgers by the total number of students, and then multiply by 100 to convert the fraction to a percentage:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of students who prefer hamburgers}}{\text{Total number of students}} \right) \times 100 \][/tex]
Substitute the values into the formula:
[tex]\[ \text{Percentage} = \left( \frac{220}{870} \right) \times 100 \][/tex]

3. Perform the calculation:
- First, divide [tex]\( 220 \)[/tex] by [tex]\( 870 \)[/tex]:
[tex]\[ \frac{220}{870} \approx 0.2528735632183908 \][/tex]
- Then, multiply by 100 to convert to a percentage:
[tex]\[ 0.2528735632183908 \times 100 \approx 25.287356321839084 \][/tex]

4. Round the percentage to the nearest whole number:
- The calculated percentage is approximately [tex]\( 25.287356321839084 \% \)[/tex].
- When rounding to the nearest whole number, this becomes [tex]\( 25 \% \)[/tex].

Hence, the percentage of students who prefer hamburgers is [tex]\( \boxed{25} \)[/tex]%.