Rush used to offer meal tickets, but alas no more! You may be able to find a refrigerator on the floors that you can put food in, or you can always use the one in student affairs to bring food (especially for call nights when the only option is ABP which can get expensive!)
At Stroger Hospital of Cook County the residents are no longer allowed to obtain two meals at a time. As such, you will need to either bring food, or buy food. Cafeteria food at County is like most all cafeteria food, overdone and often bland. Other options for food include the vending machines, the gift store (mostly candy and drinks), and the coffee bar at the main entrance or bring your own (Anyone know how to make a peanut butter and jelly sandwich?)
Rush North Shore will provide you with their own meal tickets, however, the cafeteria is expensive. Expect to spend more money than they give you in meal tickets (or bring food from home) if you want to be full.