First, we need to convert the weight of beef from kilograms to pounds. The conversion factor is approximately 1 kilogram = 2.20462 pounds.
Given that Roger bought 1.25 kg of beef, we can calculate its weight in pounds:
\[ \text{Weight of beef in pounds} = 1.25 \text{ kg} \times 2.20462 \text{ lb/kg} \approx 2.755775 \text{ lb} \]
Now we know:
- Turkey weight = 3.3 pounds
- Beef weight = 2.755775 pounds
The chicken that Roger buys must weigh more than the beef and less than the turkey. Thus, the chicken weight must satisfy:
\[ 2.755775 < \text{Weight of chicken} < 3.3 \]
This means any weight between 2.755775 pounds and 3.3 pounds is acceptable for the chicken.
Let's choose a value within this range. For example, we could select:
\[ \text{Weight of chicken} = 3.0 \text{ lb} \]
This is a round number and falls within the specified range. Thus, rounding it to the nearest hundredth of a pound gives:
\[ \text{Chicken weight} \approx 3.00 \text{ lb} \]
Therefore, Roger could buy approximately 3.00 pounds of chicken.