To determine which amount of chicken Roger could have bought, we need to analyze the weight of the turkey and beef he purchased:
- Turkey: 1.5 kilograms
- Beef: 1.25 kilograms
Next, we need to convert these weights from kilograms to pounds since the chicken options provided are in pounds. The conversion factor is approximately 1 kilogram = 2.20462 pounds.
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Convert 1.5 kilograms of turkey to pounds: \[ 1.5 , \text{kg} \times 2.20462 , \text{lb/kg} \approx 3.30693 , \text{lb} \]
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Convert 1.25 kilograms of beef to pounds: \[ 1.25 , \text{kg} \times 2.20462 , \text{lb/kg} \approx 2.75586 , \text{lb} \]
Now we round these amounts:
- Turkey: approximately 3.31 pounds
- Beef: approximately 2.76 pounds
Now, according to the problem, Roger needs to buy chicken that weighs more than the beef and less than the turkey:
\[ 2.76 , \text{lb} < \text{weight of chicken} < 3.31 , \text{lb} \]
Now we evaluate the options provided for chicken:
- 2.75 pounds of chicken (This is less than the weight of the beef, so it does not satisfy the condition.)
- 3.2 pounds of chicken (This fits the condition: \( 2.76 < 3.2 < 3.31 \).)
- 3.7 pounds of chicken (This is greater than the weight of the turkey, so it does not satisfy the condition.)
- 4 pounds of chicken (This is also greater than the weight of the turkey, so it does not satisfy the condition.)
The only valid option for the amount of chicken that Roger could have bought is:
3.2 pounds of chicken.