Let’s solve the problem step by step.
3a: Comparing Turkey and Cheese
Step 1: Convert turkey from kilograms to pounds.
- Roger has 1.5 kilograms of turkey.
- Using the conversion factor \( 1 \text{ kilogram} = 2.2 \text{ pounds} \): \[ 1.5 \text{ kg} \times 2.2 \text{ lb/kg} = 3.3 \text{ pounds of turkey} \]
Step 2: Compare turkey to cheese.
- Roger has 2.25 pounds of cheese.
Step 3: Determine which is more.
- Turkey: 3.3 pounds
- Cheese: 2.25 pounds
Since \( 3.3 \text{ pounds} > 2.25 \text{ pounds} \), Roger purchased more turkey than cheese.
Response for 3a: He purchased more turkey.
3b: Weight of Chicken
Roger needs to buy chicken that weighs more than the beef (1.25 kilograms) but less than the turkey (1.5 kilograms).
Step 1: Convert the weight of beef from kilograms to pounds.
- Beef: 1.25 kilograms
- Using the conversion factor: \[ 1.25 \text{ kg} \times 2.2 \text{ lb/kg} = 2.75 \text{ pounds of beef} \]
Step 2: Define the range for chicken.
- Chicken must weigh:
- More than 2.75 pounds (beef)
- Less than 3.3 pounds (turkey)
So, the weight of chicken must be in the range: \[ 2.75 < \text{Chicken} < 3.3 \]
Step 3: Evaluate the options provided.
- 2.75 pounds of chicken: This is not valid because it must be more than 2.75 pounds.
- 3.2 pounds of chicken: This falls within the valid range.
- 3.7 pounds of chicken: This exceeds the maximum of 3.3 pounds.
- 4 pounds of chicken: This also exceeds the maximum of 3.3 pounds.
Response for 3b: 3.2 pounds of chicken.