A sum of 500 is in the form of denominations of 5 and 10. If the total number of notes is 90 find the number of notes of each denomination.
(Hint: let the number of 5 rupee notes be 'x', then number of 10 rupee notes = 90-x)
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Answer:
Let the number of 5 rupee notes be x,then
The number of 10 rupee notes =90−x
Then ,according to the question
5x+10(90−x)=500
5x+900−10x=500
5x=400
x=80
There are 80 notes of Rs.5 and 10 notes of Rs.10.
Step-by-step explanation:
Let us assume the number of 5 rupees note be 'x'. Then the number of 10 rupees note will be '90-x' (Total number of notes=90)
The total amount is 500. So according to the question:
5x+10(90-x)=500
5x+900–10x=500
-5x=500–900
-5x=—400
X=—400/—5 (Since, — and — = +)
X=400/5
X=80
Hence, according to our solution:—
Number of 5 rupees note=X that is 80
And number of 10 rupees note=(90-x) that is (90–80)=10
Therefore, there are 80 five rupees note and 10 ten rupees note..
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