a sum of ₹500 is in the form of ₹5 and ₹10 notes . if the total number of notes is 90, find the number of notes in each denomination
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Let the number of notes be x and y.
Given that 500 is in the form of 5 and 10 notes = 5x + 10y = 500. --- (1)
Given that Total number of notes is 90 i.e x + y = 90 then x = 90 - y ---(2).
Substitute (2) in (1), we get
5(90 - y) = 500
450 - 5y = 500
5y = 50
y = 10.
Substitute y in (2), we get x = 80.
Finally, there are 80 notes of 5 and 10 notes of 10.
Hope this helps!
Given that 500 is in the form of 5 and 10 notes = 5x + 10y = 500. --- (1)
Given that Total number of notes is 90 i.e x + y = 90 then x = 90 - y ---(2).
Substitute (2) in (1), we get
5(90 - y) = 500
450 - 5y = 500
5y = 50
y = 10.
Substitute y in (2), we get x = 80.
Finally, there are 80 notes of 5 and 10 notes of 10.
Hope this helps!
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