Question

A sum of rupees 500 is in the form of domination of rupees 5 and 10 if the total number of nodes is 90 find the number of notes of each type

Answer 1

Let x be the number of notes of denomination Rs5

Let y be the number of notes of denomination Rs10

we know that the total amount is Rs500 which means 5 times the number of notes of denom Rs5 + 10 times the number of notes of denomination Rs 10 equals 500

ie. 5x+10y=500

Also total number of notes is 90 ie x+y=90

hence x=90-y

5*(90-y)+10y=500

450-5y+10y=500

5y=500-450

5y=50

y=50/5

y=10

x=90-y=90-10=80

hence 10 notes of Rs10 and 80 notes of Rs5