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
A. Roger wants to know if he purchased more turkey or more cheese. Use the conversion ratio of 1 kilogram of about 2.2 pounds to determine the correct answer. Show your work
B. 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. Show your work.
C. Roger is curious to know the total weight of all four sandwich fillings he bought. He weighs the fillings twice once using ounces and once using grams. If 16 ounces= 1 pound and 1000 grams =1 kilogram, will the total wight of the sandwich fillings be a greater number of ounces or greater number of kilograms? Explain your answer.
A. To determine if Roger purchased more turkey or more cheese, we need to convert the weights to the same unit of measurement. Since the conversion ratio is 1 kilogram is about 2.2 pounds, we can convert the turkey weight to pounds by multiplying it by 2.2:
1.5 kilograms * 2.2 pounds/kilogram = 3.3 pounds
So, Roger purchased 3.3 pounds of turkey.
For the cheese, we're already given that it weighs 2.25 pounds.
Comparing the weights, we can see that Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
Answer: Roger purchased more turkey than cheese.
B. To determine the weight of the chicken that Roger bought, we need to find an amount that is greater than the weight of the beef (1.25 kilograms) but less than the weight of the turkey (1.5 kilograms).
Using the conversion ratio of 1 kilogram is about 2.2 pounds, we can convert these weights to pounds:
Beef weight: 1.25 kilograms * 2.2 pounds/kilogram = 2.75 pounds
Turkey weight: 1.5 kilograms * 2.2 pounds/kilogram = 3.3 pounds
So, the chicken weight could be any value between 2.75 pounds and 3.3 pounds.
Answer: The weight of the chicken could be between 2.75 pounds and 3.3 pounds.
C. To compare the weights of the fillings in ounces and grams, we can convert the given weights to both units:
Turkey weight: 1.5 kilograms * 1000 grams/kilogram = 1500 grams
Beef weight: 1.25 kilograms * 1000 grams/kilogram = 1250 grams
Cheese weight: 2.25 pounds * 16 ounces/pound = 36 ounces
Comparing the weights, we can see that the total weight in grams (1500 grams + 1250 grams + 36 ounces) is greater than the total weight in ounces (36 ounces).
Answer: The total weight of the sandwich fillings is a greater number of grams than ounces.