Question

A sum of 500 is in the form of notes of denominations of 5 and 10. the number of notes is 90. find the number of notes of each type. Pls give full explanation​

Answer 1

Answer:

x = 80, y = 10 hope it helps you

Step-by-step explanation:

Let the number of notes of 5 = x

Let the number of notes of 10 = y

Total notes = 90

x + y = 90 ..equation (1)

Now sum is Rs 500

So,

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

Solving by elimination method

Multiply equation (1) by 5 and subtract from equation (2)

5x + 5y = 450

So, now subtracting

5x + 10y =500

5x + 5y = 450

(subtract)

5y = 50

y = 10

Putting value of y in equation (1)

x+10 = 90

x = 90 - 10

x = 80

Answer 2

Answer:

There are 10 notes of Rs. 10 and 80 notes of Rs. 5.

Step-by-step explanation:

Let,

The number of ₹ 5 notes = x

Total notes = 90

The number of ₹10 notes = 90 - x

Total amount = 500

★ The value of notes :

• ₹ 5 notes = 5x
• ₹10 notes = 10 (90 - x) = 900 - 10x

★ According to the Question :

⇒ (900 - 10x) + 5x = 500

⇒ 900 - 5x = 500

⇒ - 5x = 500 - 900

⇒ - 5x = - 400

⇒ 5x = 400

⇒ X = 400 / 5

⇒ X = 80

The number of ₹ 5 notes = 80

The number of ₹10 notes = 90 - x

⇒ 90 - 80 = 10

The number of ₹10 notes = 10

∴ There are 10 notes of Rs. 10 and 80 notes of Rs. 5.