Roger also wants to make sandwiches for his guests. He buys the following sand which fillings:
1.5 kilograms of turkey
1.25 kilograms of beef
2.25 pounds of cheese
Roger wants to know if he purchased more turkey or more cheese. Use the conversion ratios 1 kilogram = about 2.2 pounds to determine the correct answer. Show your work.
Roger discovers that he needs to buy some chicken as well. He buys and amount of chicken that weighs more than the beef he bought and less than turkey he bought. Give an amount in pounds that the chicken could weigh, rounded to the nearest hundredth of a pound. Show your work.
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 1,000 grams = 1 kilogram, will the total weight of the sandwich fillings be a greater number of ounces or a greater number of grams? Explain your answer
To determine if Roger purchased more turkey or more cheese, we need to convert the weights to the same unit. We can convert the turkey from kilograms to pounds using the conversion ratio 1 kilogram = about 2.2 pounds.
Turkey weight = 1.5 kilograms * 2.2 pounds/kilogram = 3.3 pounds
Since Roger bought 2.25 pounds of cheese, we can see that he purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
To find the possible weight of the chicken, we know that it weighs more than the beef (1.25 kilograms) and less than the turkey (1.5 kilograms). We can convert these weights to pounds using the conversion ratio 1 kilogram = about 2.2 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
Therefore, the chicken could weigh between 2.76 pounds (slightly more than the beef) and 3.29 pounds (slightly less than the turkey).
To determine if the total weight of the sandwich fillings is greater in ounces or grams, we can convert the weights to both units. We know that 16 ounces = 1 pound and 1,000 grams = 1 kilogram.
Turkey weight in ounces = 3.3 pounds * 16 ounces/pound = 52.8 ounces
Beef weight in ounces = 1.25 kilograms * 2.2 pounds/kilogram * 16 ounces/pound = 35.2 ounces
Cheese weight in ounces = 2.25 pounds * 16 ounces/pound = 36 ounces
Turkey weight in grams = 1.5 kilograms * 1,000 grams/kilogram = 1,500 grams
Beef weight in grams = 1.25 kilograms * 1,000 grams/kilogram = 1,250 grams
Cheese weight in grams = 2.25 pounds * 16 ounces/pound * 28.35 grams/ounce = 1,019.65 grams
Comparing the weights, we can see that the total weight of the sandwich fillings is greater in ounces (52.8 + 35.2 + 36 = 124 ounces) than in grams (1,500 + 1,250 + 1,019.65 = 3,769.65 grams).