Question 3: 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 solve the first part of the question (3a), we need to compare the amount of turkey and cheese that Roger purchased, using the conversion ratio of 1 kilogram = about 2.2 pounds.

  1. Turkey:

    • Roger purchased 1.5 kilograms of turkey.
    • To convert kilograms to pounds: \[ 1.5 \text{ kg} \times 2.2 \text{ lbs/kg} = 3.3 \text{ lbs of turkey} \]
  2. Cheese:

    • Roger purchased 2.25 pounds of cheese.

Now, we compare the two amounts:

  • Turkey: 3.3 pounds
  • Cheese: 2.25 pounds

Since 3.3 pounds (turkey) is greater than 2.25 pounds (cheese), we conclude that he purchased more turkey.

Response for 3a:

He purchased more turkey.


Now, for part 3b, we need to determine the possible weight of chicken Roger could have bought. The chicken must weigh more than the beef and less than the turkey.

  1. Beef:

    • Roger purchased 1.25 kilograms of beef.
    • Convert beef to pounds: \[ 1.25 \text{ kg} \times 2.2 \text{ lbs/kg} = 2.75 \text{ lbs of beef} \]
  2. Turkey:

    • As calculated previously, Roger has 3.3 pounds of turkey.

Now we establish the range for the chicken:

  • The chicken must weigh more than 2.75 pounds (beef)
  • The chicken must weigh less than 3.3 pounds (turkey)

The only option that fits this range (more than 2.75 pounds and less than 3.3 pounds) from the given choices is 3.2 pounds of chicken.

Response for 3b:

3.2 pounds of chicken.