To find the percentage of students who would prefer to take photography, we first need to fill in the missing values in the table based on the provided information.
From the table, we know:
- Total number of girls preferring yearbook = 13
- Total number of girls preferring photography = 18
- Total number of boys preferring yearbook = 12
- Total number of boys preferring photography = ?
- Total number of students preferring yearbook = 25
- Total number of students preferring photography = 32
- Total number of students surveyed = 57
We can figure out the missing values:
-
Total girls: \[ \text{Total girls} = \text{Yearbook girls} + \text{Photography girls} = 13 + 18 = 31 \]
-
Total boys: \[ \text{Total boys} = \text{Total students} - \text{Total girls} = 57 - 31 = 26 \]
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Boys preferring photography: \[ \text{Boys preferring photography} = \text{Total boys} - \text{Boys preferring yearbook} = 26 - 12 = 14 \]
Now, the completed table is:
\[ \begin{array}{|c|c|c|c|} \hline & \text{Yearbook} & \text{Photography} & \text{Total} \ \hline \text{Girls} & 13 & 18 & 31 \ \hline \text{Boys} & 12 & 14 & 26 \ \hline \text{Total} & 25 & 32 & 57 \ \hline \end{array} \]
Now, to find the percentage of students who would prefer photography:
- Total students preferring photography: 32
- Total students surveyed: 57
The percentage calculation is as follows: \[ \text{Percentage} = \left( \frac{\text{Total students preferring photography}}{\text{Total students surveyed}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{32}{57} \right) \times 100 \approx 56.1404 \]
Rounding to the nearest tenth of a percent: \[ \text{Percentage} \approx 56.1% \]
Thus, the percentage of students who would prefer to take photography is approximately 56.1%.