This is one question you won't find an answer for on any internet or the truth from a college or university. It has been well-known that if you have the right connections and of course money it is much easier than if you didn't. The student can be of a low IQ and squeeze in if their parents know the right people and are powerful enough.
In Canada we have a large population of Asians in the Vancouver area. It is a fact that they are forced to pay much higher rates to get into university than a Canadian born here and many can afford it more than the average white student in B.C. That was on the news!
In some cases a person can be quite smart and get through on a scholarship, and that's the way it should be ... poor or rich.
While I don't think there's any direct way of doing this, if your family has enough money you could probably work your way into the community of a fairly prestigious school. Keep in mind we're speaking of the millions or tens of millions of dollars area. Your return-on-investment is likely to be lacking. If your family does have an ungodly amount of money, though, they should consider starting LARGE monthly donations a few years before you apply. If it means enough to school, you will probably find yourself with an acceptance packet.
In the US, most universities freely admit that they have "developmental admits." These are students whose parents, grandparents, etc. donate a large amount of money the school, or are perceived as being able to donate a large amount of money. The more prestigious the school, the higher this donation, or potential donation, needs to be.
On the issue of tuition, most US colleges and universities are not "need blind." This means that they take your family's ability to pay the full costs of enrollment into account when determining admissions. So, if your family can afford to pay all the costs of enrollment, you will have a better chance of admission at most schools than students who must have financial aid to matriculate.