Question

A total of 90 currency ,consisting only of 5 and 10 rupees denominations,amount to rupees 500. find the number of notes in each denomination?​

Answer 1

Answer:

Number of notes of Rs. 5 denominations were 80 and that of Rs. 10 were 10.

Step-by-step explanation:

Let the number of Rs. 5 currencies be denoted as 'x' and Rs. 10 currencies be denoted as y.

According to the question,

⇒ x + y = 90

Also, it is given that total amount is Rs. 500. Therefore it is given as:

⇒ 5x + 10y = Rs. 500

⇒ x + 2y = 100

Solving both the equations we get,

⇒ x + 2y = 100

⇒ x = 100 - 2y

Substituting this in the first equation we get,

⇒ ( 100 - 2y ) + y = 90

⇒ 100 - y = 90

⇒ y = 100 - 90

⇒ y = 10

Therefore x can be found out as:

⇒ x = 100 -2y

⇒ x = 100 - 2 ( 10 )

⇒ x = 100 - 20

⇒ x = 80

Therefore number of notes of Rs. 5 denominations were 80 and that of Rs. 10 were 10.

Answer 2

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