Question

How many 325 mg ibuprofen tablets can be produced from 2.50 kg of ibuprofen?

Answer 1

Hint :
1. There are 1000 milligrams in one-gram and there 1000 grams in 1 kilogram
2. When there is any operation is done all the values should be in the same units
3. This question can be solved by simple division

Complete Step by Step solution:
Here in this question, we have got 2.5 kg of ibuprofen powder and we need to convert that powder into small consumable tables each of 325 milligrams.
Now here as we can see that both the quantities have different units and as we know to perform any mathematical operation the quantities need to be in the same unit, so here firstly we will convert the units.
Now, we will convert kilogram is milligrams
As we know there are 1000 grams in one kilogram
Mathematically,
$1kg = 1000g$
$\therefore 1g = \dfrac{1}{{1000}}kg$
We have got 2.5 kg of ibuprofen powder,
$\therefore 2.5kg = 2500g$
Now we will convert grams to milligrams
As we know there are 1000 milligrams in one gram
Mathematically,
$1g = 1000mg$
$\therefore 1mg = \dfrac{1}{{1000}}g$
From the above calculations, We have got 2500 g of ibuprofen powder,
$\therefore 2500g = 2500000mg$
Now this is the amount of ibuprofen powder we have got to make tablets from
Now we need to make tablets each of 325 mg
So we will simply divide the quantities
So total no. of tablets that can be made is $\dfrac{{2500000}}{{325}} = 7692.3 \approx 7692$
Final Answer: 7692 tablets each of 325mg can be made out of 2.5 kg of ibuprofen

Note:
Only the quantities having the same dimensions and units can have mathematical operations on the
We could have converted mg into kg but the decimal calculations can go wrong
Both the units can be converted into a common intermediate unit like grams for performing mathematical operations on them