I worked outside the home when my children were small and I tell parents at the interview EXACTLY what you said about the reason I serve breakfast! I would rather have them arrive less stressed and feed them right away. However, I learned the lesson you are learning now and ask them every morning if the child had anything to eat. Sometimes they ate a bit a couple of hours earlier so they are hungry again, but I got really sick of throwing my food in the garbage.

Also, I now serve a lighter breakfast with fruit and cereal, or fruit and a pancake or a croissant with fruit or breakfast sausage with toast, etc. I serve huge lunches and they are always really hungry then. But I serve breakfast shortly after 8 and then lunch around 11:30 because we are outside from 9 to 11 every day (except today, we cut it short due to humidity).

If I made a breakfast wrap like you described I would divide it in 3 or 4 and give them each a piece. Then if they eat that I'd make another one and divide it again. We work too hard and make too little profit to be throwing out food!