Let \( x \) be the total number of bagels produced on Saturday. According to the problem, 8% of \( x \) burned equals 416 bagels. We can set up the equation as follows:
\[ 0.08x = 416 \]
To find \( x \), we can divide both sides of the equation by 0.08:
\[ x = \frac{416}{0.08} \]
Calculating this gives:
\[ x = 5,200 \]
Thus, Bagel Emporium produced a total of 5,200 bagels on Saturday.
The correct response is: 5,200 bagels