The total number of teachers who ate pizza is 2/3*30 = <<2/3*30=20>>20
30-20 = <<30-20=10>>10 teachers did not eat pizza.
The number of staff members who ate pizza is 4/5*45 = <<4/5*45=36>>36
The number of staff members who did not eat pizza is 45-36 = <<45-36=9>>9
The number of non-pizza eaters is 9+10 = <<9+10=19>>19
#### 19