Are you saying that the children from the wrong side of town should not have the same educational opportunities as the rich kids?
This is a silly comment.
In one sense, everyone has the exact same educational opportunities, at least if you are talking about private schools here. The parents of "rich kids" have the right to enroll their children in private schools of their choice in exchange for a sufficient amount of tuition payments.
And guess what? So do the parents of "poor kids"! They have the right to enroll their kids in private schools too! (After all, no one will stop them, right?)
What's that you say? "But poor parents can't afford it"? Well, DUH. That, after all, is what "poor" means. Poor people can't afford things that rich people can afford. Is this a big revelation to you?
You may as well have asked:
"Are you saying that the children from the wrong side of town should not have the same vacation opportunities as the rich kids?"
Or:
"Are you saying that the children from the wrong side of town should not have the same housing opportunities as the rich kids?"
Or:
"Are you saying that the children from the wrong side of town should not have the same recreational opportunities as the rich kids?"
Uh, the answer to all of these questions is "yes". That's what being wealthy means. It is reality, whether you like it or not. Wealthy people can afford more [ fill in the blank ] opportunities. Yes!
You cannot abolish this fact out of existence.
I think the subtext of your question is that, somehow, "education should be different". However, I am not sure why this should be.
Of course, there are numerous scholarship programs and plenty of private schools willing to subsidize tuition and all that. But to insist that society ought to be arranged so that wealthy people are somehow unable to or disallowed from using their wealth to purchase greater opportunities for their children strikes me as a little unrealistic, and naive.
This is already the case. The rich have the opportunity of elite private schools, the middle class have the financial ability to pick up and move to a better school district. The poor? Their kids get stuck in whatever public school they land in. In most cases, they are the worst ones.