Question

in a bag, there are 150 coins of rs. 1, 50 p and 25 p denominations. if the total value of coins is rs. 150, then find how many rupees can be constituted by 50 p coins.

Answer 1

Let x, y and z be the number of Rs. 1, 50p and 25p coins in the bag.

then According to given condition

$x + y + z= 150$ ---- (1)

And

$x + 0.5y + 0.25z = 150$----(2)

Equating =n (1) and (2),

   $x + y+ z = x + 0.5y + 0.25z$

⇒ $y + z = 0.5y + 0.25z$

⇒ $0.5 y + 0.75z = 0$

⇒ y and z = 0

Hence x = 150

∴ 0 coins are constituted by 50 p coins.