I've seen plenty of screeners who would benefit from Nutrisystem...but I digress....

I think it would depend on the contents of the package. Solid foods shouldn't be a problem, but soups, sauces and puddings might be an issue - IF they see the packages.

Putting them down into the bag, perhaps on their side would lessen the chance the package contents would even appear on the x-ray. I think the screeners would react to bottle/container shapes on the screen, not box shapes as much.