Question

A purse contains 25paisa and 50paisa coins.The number of 25paisa coins is three times the number of 50paisa coins. If the total money in the purse is₹50 ,find the number of coins of each type.​

Answer 1

Step-by-step explanation:

In a purse

total no. paisa = 50 ×100 =5000 paisa

let

No. of 25 paisa coins = x

No. of 50 paisa coins = y

By ATPC OR (According to the question)

x=3y

x - 3y= 0......................... eq (1)

Again By ATPC

25x + 50y = 50..................... eq(2)

By 1 and 2

(x - 3y = 0)×25

(25x- 50y=50)×1

______________

25x - 75y =0

25x -. 50y=5000

(-). (+). (-)

__________________

-75y+50y= -5000

-25y =-5000

25y = 5000

y = 5000/25

y= 200. putting in eq(1)

x - 3(200) = 0

x - 600 = 0

x = 600

No. of 25 paisa coins = 600

No. of 50 paisa coins = 200

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