To find the percentage of youths who prefer reading printed books, we first need to calculate the total number of youths surveyed and then determine what portion of them prefer printed books.
From the data provided:
- Number of youths preferring printed books = 21
- Number of youths preferring electronic books = 24
Now, calculate the total number of youths surveyed:
\[ \text{Total youths} = \text{Youths preferring printed} + \text{Youths preferring electronic} = 21 + 24 = 45 \]
Next, we calculate the percentage of youths who prefer printed books:
\[ \text{Percentage of youths preferring printed books} = \left( \frac{\text{Youths preferring printed}}{\text{Total youths}} \right) \times 100 \]
\[ = \left( \frac{21}{45} \right) \times 100 \]
Calculating the fraction:
\[ \frac{21}{45} \approx 0.4667 \]
Now multiply by 100 to convert to a percentage:
\[ 0.4667 \times 100 \approx 46.67 \]
Rounding to the nearest tenth of a percent:
\[ 46.67 \approx 46.7% \]
Therefore, the percentage of youths surveyed who prefer reading printed books is 46.7%.