At the Battle Buffet, there are a number of different dishes you can get. Some of them have bronze covers, some have silver, and some have gold, with the food under each color described in progressively more desirable terms. Sometimes there's up to 5 whatever-units of food left, and sometimes there's as low as 1.
Does any of that actually matter? The in-game explanation doesn't mention any consequences for getting good food or getting lots of food. My best guess is that it affects the item(s?) you get at the end, but that's been a Max Revive every time I've gone.