To determine whether the total weight of the sandwich fillings is a greater number of ounces or grams, we first need to convert all the weights of the sandwich fillings into a single unit—either ounces or grams.
1. Convert the weights to grams:
-
Turkey: 1.5 kilograms
\(1.5 , \text{kg} = 1.5 \times 1000 , \text{g} = 1500 , \text{g}\) -
Beef: 1.25 kilograms
\(1.25 , \text{kg} = 1.25 \times 1000 , \text{g} = 1250 , \text{g}\) -
Cheese: 2.25 pounds
First, convert pounds to kilograms (since 1 pound = 0.453592 kg)
\(2.25 , \text{lbs} = 2.25 \times 0.453592 , \text{kg} \approx 1.021 , \text{kg}\)
Now convert kilograms to grams: \(1.021 , \text{kg} = 1.021 \times 1000 , \text{g} \approx 1021 , \text{g}\)
Now, we sum up the weights in grams:
- Total weight in grams = \(1500 , \text{g} + 1250 , \text{g} + 1021 , \text{g}\)
= \(1500 + 1250 + 1021 = 3771 , \text{g}\)
2. Convert the weights to ounces:
-
Turkey: 1.5 kilograms
\(1.5 , \text{kg} = 1.5 \times 1000 , \text{g} = 1500 , \text{g}\)
Convert grams to ounces (1 ounce = 28.3495 grams):\[\frac{1500 , \text{g}}{28.3495 , \text{g/ounce}} \approx 52.91 , \text{oz}\]
-
Beef: 1.25 kilograms
\(1.25 , \text{kg} = 1250 , \text{g}\)
Convert grams to ounces:\[\frac{1250 , \text{g}}{28.3495} \approx 44.1 , \text{oz}\]
-
Cheese: 2.25 pounds
Convert directly to ounces (1 pound = 16 ounces):\(2.25 , \text{lbs} = 2.25 \times 16 , \text{oz} = 36 , \text{oz}\)
Now, we sum up the weights in ounces:
- Total weight in ounces = \(52.91 , \text{oz} + 44.1 , \text{oz} + 36 , \text{oz}\)
= \(52.91 + 44.1 + 36 \approx 133.01 , \text{oz}\)
Conclusion:
- Total weight in grams: \(3771 , \text{g}\)
- Total weight in ounces: \(133.01 , \text{oz}\)
To compare, we need to convert ounces back to grams:
- Convert the total ounces to grams: \[ 133.01 , \text{oz} \times 28.3495 , \text{g/oz} \approx 3771 , \text{g} \]
Thus, when comparing the total weight of the sandwich fillings, it is clear that the numerical values in grams (3771) and ounces (133.01) represent the same weight. Therefore, while the numerical value is greater for grams, the actual weights are equivalent. In strict terms of 3771 grams versus 133.01 ounces, the total weight in grams is a greater numerical value.
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