Question

# Fill in the blank:INR 550 = ______________ INR 100 notes + ______________INR 50 notes.

Hint: The value of a note depends on the denomination of the note. For instance, an INR 5 note has a value of 5 rupees. A note of INR 20 has a value of 20 rupees and so one. When we consider multiple notes of the same denomination, the value multiplies itself. For example, if we take 10 INR 20 notes then the total value will be $20 \times 20 = 400rupees$ So we will use the Unitary method to find the number of INR 100 notes which make 500 rupees.

We need to find the number of INR 100 notes and INR 50 notes which make 550 rupees. Now we know that the denomination of note denotes its value.
For example one INR 10 note has a value of 10 rupees.
The numbers of notes, multiply its value by the same quantity.
For example, 5 INR 5 notes have a value of $5 \times 5 = 25rupees$.
So, according to the unitary method:
Now the value of one INR 100 is 100 rupees.
Or, 100 rupees is the value of one 100 INR note.
That is, the denomination of one note will be the same as its value.
Then, 500 rupees will be the value of $\dfrac{{500}}{{100}} = 5$ , 100 INR notes
Hence, five 100 INR notes will have a value of 500 rupees.
Now, out of INR 550, five INR 100 notes have already given the value equal to 500 rupees. So, for the remaining 50 rupees of INR 50 notes.
So again applying unitary method
Value of one INR 50 note is 50 rupees.
So five notes of INR 100 $+$one note of INR 50 = INR 550.
Or, INR 550 = five notes of INR 100 $+$one note of INR 50.
Therefore,
INR 550 = _____5_________ INR 100 notes + _____1_________INR 50 notes.

Note: Denomination of notes has to be taken into consideration very carefully as per the combination mentioned in the question, since there also exists notes of denomination of 500 rupees, 50 rupees, 200 rupees etc. Hence 500 rupees can be expressed as a combination of other denomination notes as well. For example one INR 500 note will also have a value equal to 500 rupees. Or, two notes of INR 200 and one note of INR 100 will also have a value of 500 rupees.