It doesn't take a mathemagician to tell that if only one in twenty wizarding children survived to adulthood, wizards are going to die out long before they have a chance to build the damned school. So far there's also zero explanation why there are no adult teachers or maintenance staff in the school. And my main emotion, so far, is to side-eye the entire wizarding community and go, "This is the best solution you can come up with? Really? Reeeeally?"
What I'm hoping is that Things Are Not As They Seem, and the characters will discover this is a giant scam of some kind. But I'm not holding my breath.