Question

Find the net weight in grams of the contents of a breakfast cereal package if the gross weight is 1kg 200g and the packaging weighs 15g.

Answer 1

Hint: We’ve been given the value of the gross weight of the content of a breakfast cereal package and the packaging weight, by adding both the terms we’ll get the net weight of the package.
But at first, we’ll make the units of the terms equal as only like terms can be added, so we convert kg into grams using, \[1kg = 1000g\].

Complete step-by-step answer:
Given data: gross weight of the content of breakfast=1kg 200g
Packaging weight=15g
It is well known that the net weight of the contents of a breakfast cereal package will be the sum of the gross weight of the content of the package and the packaging weight.
i.e. net weight of the package\[ = \]gross weight of the content of package\[ + \]the packaging weight
The net weight of the package\[ = 1kg\, 200g + 15g\]
Adding like terms, we get,
The net weight of the package\[ = 1kg\,215g\]
Now, we know that \[1kg = 1000g\]
Therefore, the net weight of the package\[ = 1000g + 215g\]
Adding the like terms
The net weight of the package\[ = 1215g\].

Note: As in the question we are asked to find the net weight of the package in grams, so remember to find it in grams only. And always convert the units into standard units for convenience.
In this method, we can also make the addition of the gross weight and packaging weight after converting the gross weight in grams
i.e. gross weight of the package\[ = 1kg\, 200g\]
Now, we know that \[1kg = 1000g\]
Therefore, the gross weight of the package\[ = 1000g + 200g\]
On Adding the like terms, we get,
The gross weight of the package\[ = 1200g\]
Therefore, the net weight of the package\[ = 1200g + 15g\]
On Adding like terms, we get,
The net weight of the package\[ = 1215g\]