Usually---at least here---one district will receive the other's public funding when a student transfers in; that is, the money moves with the student. I have no idea if that's done where you live but I'd be surprised if it wasn't, since something has to pay for the teachers and materials that the transfer kids consume.
"My predominant feeling is one of gratitude. I have loved and been loved;I have been given much and I have given something in return...Above all, I have been a sentient being, a thinking animal, on this beautiful planet, and that in itself has been an enormous privilege and an adventure." O. Sacks