Let us consider,
Number of 25− paisa coins =x and
Number 50− paisa coins =y
Total number of coins =50
and total amount =Rs 19.50 or 1950 paisa
x+y=50...(1)
25x+50y=1950
x+2y=78...(2)
Subtracting (1) from (2)
y=28
Ans, x=50−y=50−28=22
Number of 25− paisa coins =22
and 50− paisa coins =28