To determine which amount of chicken Roger could have bought, we need to compare the weights of beef and turkey that he already purchased.
From the context of the problem, let's assume that:
- The amount of beef Roger bought is \( B \).
- The amount of turkey he bought is \( T \).
According to Roger's requirement:
- The weight of chicken \( C \) should be greater than the weight of beef: \[ C > B \]
- The weight of chicken \( C \) should be less than the weight of turkey: \[ C < T \]
This means that the chicken must satisfy the inequality: \[ B < C < T \]
To provide a concrete answer, we need the actual weights of beef \( B \) and turkey \( T \) that Roger purchased. However, since this information is not available directly, we can assess the options based solely on their weights.
The options given are:
- 2.75 pounds of chicken
- 3.2 pounds of chicken
- 3.7 pounds of chicken
- 4 pounds of chicken
Now, let's analyze the numbers:
- If we assume \( B < C < T \), we need at least a minimum percentage or scale for \( B \) and \( T \).
If \( B \) was less than 2.75 pounds and \( T \) was more than 2.75 pounds, then 2.75 could be a valid choice. The same logic applies to the other amounts. But we cannot definitively select an answer without knowing \( B \) and \( T \).
Conclusion:
Since we lack the explicit weights of beef and turkey, we cannot definitively assert which chicken weight Roger could have bought without additional context or values for \( B \) and \( T \).
However, assuming 3.7 pounds is in a reasonable middle range considering typical weights, I suggest selecting "3.7 pounds of chicken," as it seems likely to fall safely between an assumed weight of beef and turkey based on conventional grocery shopping.
Thus, my answer would be: 3.7 pounds of chicken
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