Step-by-step explanation:

• Let the number of 5 rupee notes be x,then
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−x
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−xThen ,according to the question
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−xThen ,according to the question5x+10(90−x)=500
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−xThen ,according to the question5x+10(90−x)=5005x+900−10x=500
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−xThen ,according to the question5x+10(90−x)=5005x+900−10x=5005x=400
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−xThen ,according to the question5x+10(90−x)=5005x+900−10x=5005x=400x=80
• Let the number of 5 rupee notes be x,thenThe number of 10 rupee notes =90−xThen ,according to the question5x+10(90−x)=5005x+900−10x=5005x=400x=80There are 80 notes of Rs.5 and 10 notes of Rs.10.

Verified answer

Answer:

Number of ₹5 notes = 80

Number of ₹10 notes = 10

Step-by-step explanation:

Forming algebraic expression and solving:

 Let the number of ₹5 notes = x

     The number of ₹10 notes = y

Total number of notes = 90

⇒ x + y = 90  ------------------(I)

        x = 90 - y  ---------------(II)

Value of 5 notes = 5*x = 5x

Value of 10 notes = 10*y = 10y

Total amount = ₹500

⇒ 5x + 10y = 500 -------------(III)

Divide the entire equation by 5,

⇒ x + 2y = 100 --------------(Iv)

Substitute x = 90 - y in equation (IV),

     90 - y + 2y = 100

         90 +  y   = 100

Subtract 90 from both sides,

                  y = 100 - 90

                  [tex]\s \boxed{y =10 }[/tex]

Substitute y = 10 in equation (II)

         x = 90 -10

        [tex]\sf \boxed{x = 80}[/tex]