The child of the professors has the parents who are supposedly smart and teach him or her all the time at home, how exactly do you make this available to children from those inner city areas?
Or do you simply deny that parents educate their children? Do you believe that as long as they have the same teachers at school, who are 'paid properly', say, a farmer's son and a son of a musician will have the same knowledge and skills in animal husbandry and musical theory?
That is obvious, the discussion is about the education opportunities though, not mastering school math, which is, honestly, a joke.