When you declare a Select Case statement block, the expression on the first line is compared against the values on the other lines:
Select Case myInt
Case 1
DoSomethingForMyIntEqualOne()
Exit Select
Case 2
DoSomethingForMyIntEqualTwo()
Exit Select
End Select
What you appear to be doing is trying to use it as a bastardised if statement.
Try actually using If instead - it might help you to get started.
In addition, when you get the burger price selection working - you will overwrite it with the fries selection... Look at making an "item" price element, which you add onto the cost after each stage. So Burger would select "item" to be 0, 4.19, 4.79 or 5.39, which you add into sum, then Fries would select a different value into "item", and so on.