Answer:
Let a be the number of adult tickets sold and c be the number of child tickets sold.
5.60c + 9.60a = 976.80
c + a = 133
5.60(133 - a) + 9.60a = 976.80
744.80 - 5.60a + 9.60a = 976.80
4a = 232, so a = 58 and c = 75
58 adult tickets, 75 child tickets