Question

a sum of rupees 500 is in the form of rupees 5 and rupees 10. if the total no of notes is 90 find the number of notes of each type

Answer 1

hi,

given
total notes =90

therefore
let ₹5 note=X
and 10 = Y

therefore
X + Y = 90
X = 90- y

and given
5x + 10y = 500
5(90- y ) + 10y =500
450-5y + 10y = 500
5y = 50
Y = 10

and
X = 90 - y
X = 90-10
X = 80

therefore number of ₹5 notes = 80
and number of₹10 notes = 10

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Answer 2

let there is x number of 5 rupee notes and y type of 10 rupee notes
now from the question
x+y=90 , number of total notes
also , the sum of rupees is 500 so
5x+10y=500
if u take 5 common from the above equation the equation will be x+2y=100
now solving equations by subtracting first from second
x+2y=100
-x-y=-90
from above y=10 therefore , x=90 -y
x= 80
so the 5 rupee notes are 80 and 10 rupee are 10