Let s be the number of student tickets and n the number of non-student tickets.
n+s=530, so s=530-n.
Ticket sales: 3.40s+4.00n=1896.20.
So 3.4(530-n)+4n=1896.20.
1802-3.4n+4n=1896.20.
0.6n=94.2, n=94.2/0.6=942/6=157.
Therefore s=530-157=373.
373 student and 157 non-student tickets were sold.