Question

A lady has only 50p and 250p coins in her purse . if in all she has 210 coins of the total value of rs82.50, find the numbe of coins of each type

Answer 1

$\textbf{Answer}$

$\textbf{Total coins = 210}$

Suppose the number of 50p coins = x
So total value of 50p coins = 50x paisa

=> Number of coins of 25p = (210-x)
=> Total value of coins of 25p = 25(210-x) paisa

=> Total value of both coins = 50x + 25(210-x) paisa --------(1)

We have been given that,
$\textbf{Total value of both coins = Rs 82.50}$
So total value of all coins = 82.50×100 paisa

=> Total value of all coins = 8250 paisa -----(2)

$\textbf{Comparing both equations (1) & (2),}$

50x + 25(210-x) = 8250
=> 50x + 5250 - 25x = 8250
=> 25x = 3000
=> x = 120
&
210-x = 210-120 = 90

$\textbf{Total number of 50p coin is 120}$

$\textbf{Total number of 25p coin is 90}$

$\textbf{Hope It Helps}$

$\textbf{Thanks}$