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The net weight of a box of pasta is 454 grams. The boxes of pasta are packed 48 boxes to a case. A factory shipped 64 cases of pasta to a distributor. a. What was the net weight of the box in kilograms? b. Excluding the weight of the containers, how many kilograms of pasta were shipped, to the nearest kilogram?

1 Answer

3 votes

Final answer:

A single box of pasta weighs 0.454 kilograms. A total of 1,395 kilograms of pasta were shipped when rounded to the nearest kilogram.

Step-by-step explanation:

To address the questions posed regarding the weight of pasta shipments:

Part A:

The net weight of a single box of pasta is 454 grams. To convert this weight to kilograms, we use the conversion factor that 1 kilogram equals 1,000 grams.

Net weight in kilograms = 454 grams ÷ 1,000 = 0.454 kilograms

Part B:

To calculate the total weight of pasta shipped, we first determine the weight of pasta per case.

Weight per case = Net weight per box × Number of boxes in a case = 0.454 kg × 48 boxes = 21.792 kilograms

Next, we calculate the weight for all cases shipped:

Total weight for all shipped cases = Weight per case × Number of cases shipped = 21.792 kg × 64 cases

Total weight for all shipped cases = 1,394.688 kg

To provide the weight to the nearest kilogram, we round this number:

Rounded total weight = Approximately 1,395 kilograms

answered
User Ryan Kennedy
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