Let the number of $35 tickets be x and the number of $55 tickets be y.
35x + 55y = 432500 --- (1)
x + y = 9500 --- (2)
From (2), we have:
y = 9500 - x --- (3)
Substituting (3) into (1), we will get:
35x + 55(9500 - x) = 432500
35x + 522500 - 55x = 432500
-20x + 522500 = 432500
20x = 522500 - 432500
20x = 90000
x = 90000 / 20
x = 4500
Substituting x = 4500 into (3), we have:
y = 9500 - 4500
y = 5000
Hence, 4500 $35 tickets were sold and 5000 $55 tickets were sold.