Let's assume the number of standard delivery packages shipped is x and the number of express delivery packages shipped is y .
We know two things:
1. The total number of packages shipped is 119, therefore x + y = 119 .
2. The total shipping charges for the day were 720, therefore 4.50x + 9y = 720$.
Solving the system of equations:
From equation (1):
x = 119 - y
Substitute x in equation (2):
4.50(119 - y) + 9y = 720
535.50 - 4.50y + 9y = 720
4.50y = 184.50
y = 41
Substitute y back into equation (1):
x = 119 - 41
x = 78
Therefore, there were 78 standard delivery packages and 41 express delivery packages shipped.
\boxed{78 \text{ standard delivery packages and } 41 \text{ express delivery packages shipped}}