To find the number of bean bags \( b \) in the instructor's box, we can use the following equation:
\[ b = 16 \times 6 \]
This equation reflects that there are 16 clowns, each receiving 6 bean bags. Now, let's solve this equation for \( b \):
\[ b = 16 \times 6 = 96 \]
Therefore, the number of bean bags in the instructor's box is \( b = 96 \).