Question

(e) A bundle of currency made up of notes of Rs. 10 and Rs. 20 is counted. The total number of notes is found to be 50. The total amount of money in the bundle is Rs. 600. Find the number of notes of Rs. 10 and Rs. 20 in the bundle.​

Answer 1

Let the number of Rs.10 note be x.

and the number of Rs.20 note be y.

Given Situation

• Total number of notes is 50.

$~~~\implies ~~~ \sf x+y=50$

$~~~\implies ~~~ \sf x=50 - y$

Aslo

• Total amount of money in the bundle is Rs. 600.

$\sf~~~\implies~~~10x+20y=600$

$\sf~~~\implies~~~x+2y=60$

• Putting the value of X

$\sf~~~\implies~~~50-y+2y=60$

$\sf~~~\implies~~~y=60-50$

$\sf~~~\implies~~~y=10$

Putting the value of y in x=50-y

$~~~\implies ~~~ \sf x=50 - 10$

$~~~\implies ~~~ \sf x=40$

• The number of notes of Rs. 10 and Rs. 20 in the bundle are 40 and 10 respectively.

Answer 2

Answer:

★ Solution ★

Let the number of Rs,10 notes be x.

Let the number of Rs. 20 notes be y.

Given Situation

• The total number of notes is 50.

↪ x + y = 50

↪ x = 50 - y

Also

• The total amount of money in the bundle is Rs. 600.

↪ 10x + 20y = 600

↪ x + 2y = 60.

• Putting the value of x

↪ 50 - y + 2y = 60

↪ y = 60 - 50

↪ y = 10

Putting the value of y in x = 50 - y

↪ x = 50 - 10

↪ x = 40

• The number of notes of Rs.10 and Rs.20 in the bundle are 40 and 10.

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