To find the number of carrots in the bowl, we first need to calculate 25% of the total number of vegetable pieces.
The total number of vegetable pieces is 80.
To find 25% of 80:
\[ \text{Number of carrots} = 25% \times 80 = \frac{25}{100} \times 80 = 0.25 \times 80 = 20 \]
Therefore, the bowl contains 20 carrots.