Don’t go to the links there hacks
It caused the separate but equal. Everything the whites had the blacks had too. If the whites got a school then the blacks did too. If the whites had a dining area the blacks did too. I really don't mean to sound racist. I just don't know how else to explain it.
Because they could afford it. The Roman education system was based on the Greek system, so why not learn it in Greece. The Romans education was based on the classical Greek tradition but infused with Roman politics, cosmology, and religious beliefs. The only children to receive a formal education were the children of the rich. The very rich families employed a private tutor to teach their children. Those that could not afford to do this used either slaves or sent their children to a private school.