To determine if Darnel and Lester caught the same ratio of catfish to trout, we will first calculate the ratio for each boy.
Darnel's catch:
- Catfish: 4
- Trout: 8
The ratio of catfish to trout for Darnel is: \[ \text{Ratio} = \frac{\text{Number of Catfish}}{\text{Number of Trout}} = \frac{4}{8} = \frac{1}{2} \]
Lester's catch:
- Catfish: 3
- Trout: 6
The ratio of catfish to trout for Lester is: \[ \text{Ratio} = \frac{\text{Number of Catfish}}{\text{Number of Trout}} = \frac{3}{6} = \frac{1}{2} \]
Both Darnel and Lester caught catfish to trout in the ratio of \( \frac{1}{2} \).
Thus, yes, Darnel and Lester caught the same ratio of catfish to trout.