One thing that is unfortunate about the public system. If you're poor and want high quality education for your kid, you have to live in an expensive neighborhood. Or pay for education twice. There's no way to sacrifice on location and put all your resources into education.

Its quite arbitrary to tie these two things together. Sort of like tying which restaurant you can patronize to the car you drive. Or what sporting event you can attend to the clothes you buy. Except way worse.