Roger also wants to make sandwiches for his guests. He buys the following sandwich fillings:

• 1.5 kilograms of turkey

• 1.25 kilograms of beef

• 2.25 pounds of cheese

 

3a. Roger wants to know if he purchased more turkey or more cheese. Use the conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer.

Which did he purchase more of, turkey or cheese?

Be sure to work out the problem on paper and use a calculator if needed. 

(2 points)
Responses

He purchased more turkey.
He purchased more turkey.

He purchased more cheese. 
He purchased more cheese. 

He purchased the exact same amount of turkey and cheese. 
He purchased the exact same amount of turkey and cheese. 
Question 2
 

 

3b. 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.

Which amount of chicken could Roger have bought?

Be sure to work out the problem on paper and use a calculator if needed. 

(2 points)
Responses

2.75 pounds of chicken
2.75 pounds of chicken

3.2 pounds of chicken
3.2 pounds of chicken

3.7 pounds of chicken
3.7 pounds of chicken

4 pounds of chicken

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

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.