To find out how many chicken sandwiches Judy's mom made, we need to calculate \( \frac{2}{5} \) of the total number of sandwiches, which is 30.
We can calculate this as follows:
\[ \text{Number of chicken sandwiches} = \frac{2}{5} \times 30 \]
Calculating \( \frac{2}{5} \times 30 \):
\[ = \frac{2 \times 30}{5} = \frac{60}{5} = 12 \]
So, Judy's mom made 12 chicken sandwiches.