Counting a number only once if it appears multiple times.

Hi there!
I have a spreadsheet for a classroom. It is divided into the days of the week. Within those days, it is further divided into the meals we serve the children: Breakfast, Lunch, Snack. The teacher enters a "1" for every meal the child is present for, a "0" if the child is absent during that meal. The final column is where I am having an issue. This is the Average Daily Attendance column. It is not a total, nor an average (despite the title). I need a formula that will tell me if a child was there at all for any given day but will only count them once, even if they were there for all three meals. The maximum number to be counted is 5 because even if a child is present for all three meals, all five days, we only count them once for each day. I am attaching a sample for clarification. I need someone smarter than I to help!