To determine the weight of the chicken Roger could have bought, we first need to establish the weights of the turkey and beef he purchased and convert them to the same unit (pounds), since the cheese is given in pounds.
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Convert turkey and beef from kilograms to pounds:
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Conversion factor: 1 kilogram = 2.20462 pounds.
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Turkey: \[ 1.5 \text{ kg} \times 2.20462 \text{ lb/kg} = 3.30693 \text{ lb} \approx 3.31 \text{ lb} \]
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Beef: \[ 1.25 \text{ kg} \times 2.20462 \text{ lb/kg} = 2.75575 \text{ lb} \approx 2.76 \text{ lb} \]
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Identify the range for the chicken:
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The chicken must weigh more than the beef (2.76 pounds) and less than the turkey (3.31 pounds).
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Therefore, the chicken must meet the condition: \[ 2.76 \text{ lb} < \text{chicken} < 3.31 \text{ lb} \]
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Evaluate the options:
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2.75 pounds of chicken: This is less than 2.76 pounds (not valid).
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3.2 pounds of chicken: This is greater than 2.76 pounds and less than 3.31 pounds (valid).
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3.7 pounds of chicken: This is greater than 3.31 pounds (not valid).
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4 pounds of chicken: This is greater than 3.31 pounds (not valid).
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The only valid option for the amount of chicken Roger could have bought is:
3.2 pounds of chicken.
1 answer