Given that lady has total 50 coins in her purse.
Let lady has x 25-paisa coins.
∴ Lady has ‘‘50 – x’’ 50-paisa coin in her purse.
(∵ Lady has only 25 paisa and 50 paisa coins and total coins are 50 in her purse)
Given that totalling of the value of these 50 coins are 19.50 rupees = 1950paisa,
∴ 25x + (50 – x)50 = 1950
⇒ 25x + 2500 – 50x = 1950
⇒ 25x = 2500 –1950 = 550
⇒ x = \(\frac{550}{25}\) = 22.
And 50 – x = 50–22 = 28.
Hence, lady has total 22 coins of 25-paisa and total 28 coins of 50-paisa in her purse.
