Roger discovers that he needs to buy some chicken as well. He buys an amount of

chicken that weighs more than the beef he bought and less than the turkey he
bought. Give an amount in pounds that the chicken could weigh, rounded to the
nearest hundredth of a pound.
(he bought 3.3 pounds of turkey and 1.25 Kg of beef)

1 answer

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.