Question

The total weight of a box of $ 5 $ biscuit packets of the same size is $ 8 $ kg $ 400 $ grams. What is the weight of each packet?

Answer 1

Hint: First of all convert the given weight in the form of grams only using the kilogram to gram conversion then divide the total with the quantity of box and then convert the resultant value in kg -gm form.

Complete step-by-step answer:
Given that: $ 5 $ biscuit packets of the same size are $ 8 $ kg $ 400 $ grams.
Convert the kilogram in gram.
We know that $ 1 $ kilogram $ = 1000 $ grams
Therefore, $ 8 $ kilogram $ = 8 \times 1000 $ grams
Simplify the above expression finding the product of the terms
 $ 8 $ kilogram $ = 8000 $ grams
Now, the total weight for $ 8 $ kg $ 400 $ grams $ = 8000 + 400 $ grams
Simplify the above equation finding the sum of the terms
the total weight for $ 8 $ kg $ 400 $ grams $ = 8400 $ grams
the weight of each packet is the ratio of the total weight with the number of total packets
Weight of each packet $ = \dfrac{{8400}}{5} $
Find the factors for the terms in the numerator
Weight of each packet $ = \dfrac{{1680 \times 5}}{5} $
Common multiples from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator.
Weight of each packet $ = 1680 $ grams
Now, the weight of each packet is $ 1 $ kilogram and $ 680 $ grams.
This is the required solution.
So, the correct answer is “ $ 1 $ kilogram and $ 680 $ grams..”.

Note: Know the basic relation between the kilogram and gram and first find the total weight and then the individual weight of the packet. Be good in multiples and division. Be clear in the basic conversational relation since one gram and one kilogram differs by thousand and its major difference.