Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it 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 kilograms? Explain your answer.
TurKey: 3,3 lbs = 52. 8aunces / 1.5Kilo = 1,500 g
The total weight of the
Beef: 2.751105 = 44 ounces/ 1.29K. 10 = 1, 2509
Cheese: 2.25166=360unces/1.02 Ki10 =1,020g
Sandwich fillings will
be a greater number
Chicken: 3.27168:52.32 ounces/ 1.48 kilo =1,480g
of Kilograms/grams,
because the total
total oz = 185.12 0z
of grams is 5,2509
total Kilo = 5.25 kilo
and the total of ounces
total grams- 5,250 grams
is 185.12
Let's analyze the weights given for both ounces and kilograms to determine which measurement represents a greater total number.
Total weight in ounces:
Turkey: 52.8 ounces
Beef: 44 ounces
Cheese: 36 ounces
Chicken: 52.32 ounces
Total weight in ounces = 52.8 + 44 + 36 + 52.32 = 185.12 ounces
Total weight in kilograms:
Turkey: 1.5 kilograms
Beef: 1.25 kilograms
Cheese: 1.02 kilograms
Chicken: 1.48 kilograms
Total weight in kilograms = 1.5 + 1.25 + 1.02 + 1.48 = 5.25 kilograms
First, we should notice that there is a mistake in the transcription of the weights for beef and cheese in ounces: it should be "44 ounces" instead of "2.751105" and "36 ounces" instead of "2.25166," respectively. Also, there is a potential typo in the beef's weight in grams: it should be "1,250 g" instead of "1, 2509."
Now, let's convert the totals to the same unit for comparison.
Since 1 ounce ≈ 28.3495 grams, we can convert ounces to grams:
Total weight in grams (approximated) = 185.12 ounces * 28.3495 grams/ounce ≈ 5248.5152 grams
Since 1 kilogram = 1000 grams, the total weight in grams is:
Total weight in grams (exact) = 5.25 kilograms * 1000 grams/kilogram = 5250 grams
As we can see, the total weight is almost the same when converted to grams, but technically, it will be a slightly greater number of grams (5250 grams) compared to the number of ounces (5248.5152 grams).
In summary, the answer to Roger's question is that the total weight of the sandwich fillings will be slightly greater when measured in grams/kilograms because 5250 grams is more than 5248.5152 grams (which is the converted amount from 185.12 ounces). However, the difference is minimal and could be due to rounding errors in the conversion between ounces and grams.