To answer question 3a, we need to compare the weights of turkey and cheese by converting the weight of turkey from kilograms to pounds.
1. Convert Turkey from Kilograms to Pounds:
- Roger has 1.5 kilograms of turkey.
- Using the conversion ratio: 1 kilogram ≈ 2.2 pounds \[ 1.5 \text{ kg} \times 2.2 \text{ pounds/kg} = 3.3 \text{ pounds of turkey} \]
2. Compare with Cheese:
- Roger has 2.25 pounds of cheese.
3. Conclusion:
- Turkey: 3.3 pounds
- Cheese: 2.25 pounds
Since 3.3 pounds (turkey) is greater than 2.25 pounds (cheese), Roger purchased more turkey than cheese.
Now, let's solve question 3b.
Roger needs to buy chicken that weighs more than the beef he bought but less than the turkey he bought.
1. Know the weights:
- Beef: 1.25 kilograms = ( 1.25 \text{ kg} \times 2.2 \text{ pounds/kg} \approx 2.75 \text{ pounds of beef} )
- Turkey: 3.3 pounds (from previous conversion)
2. Determine the range for chicken:
- Chicken must weigh:
- More than 2.75 pounds (beef)
- Less than 3.3 pounds (turkey)
3. Check the options:
- 2.75 pounds of chicken (not valid since it must be more)
- 3.2 pounds of chicken (valid since it's more than 2.75 and less than 3.3)
- 3.7 pounds of chicken (not valid since it's more than 3.3)
- 4 pounds of chicken (not valid since it's more than 3.3)
The only option that fits the criteria is 3.2 pounds of chicken, which is more than 2.75 pounds (beef) and less than 3.3 pounds (turkey).
Final Answers:
- For 3a: He purchased more turkey.
- For 3b: 3.2 pounds of chicken.