Question

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

Answer 1

Answer:

Number of 5 rupees notes is 80 and that of 10 rupees notes is 10

Step-by-step explanation:

Let the number of 5 rupees notes is x and that of 10 rupees notes is y

Then by the given conditions,

x + y = 90 ..... (1)

5x + 10y = 500 ..... (2)

Multiplying (1) by 5 and (2) by 1, we get

5x + 5y = 450

5x + 10y = 500

On subtraction, we get

5y = 50

or, y = 10

Putting y = 10 in (1), we get

x + 10 = 90

or, x = 90 - 10

or, x = 80

Therefore number of 5 rupees notes is 80 and that of 10 rupees notes is 10

Answer 2

$\huge\sf{Answer}$

• Let the number of Rs. 5 currencies be denoted as 'x'

• Let Rs. 10 currencies be denoted as y.

$\bold{According \:to \:the \:question,}$

⇒ 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 the equations,

⇒ 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

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