The good news it that you don't need to hand out money or degrees. See, some people have an inordinate, obscene amount of money, and they would be able to lead full, happy, fulfilling lives if some of that money went to help people who have very little. Because if you're making $30,000 per year working at a gas station, and you lose that income, you're basically screwed. But if you make millions of dollars every year, you won't really miss a small portion of that. You'll be just fine.

So you just need to sort of move wealth around such that it is less egregiously unequal. Oh, and states can fund universities like they did a few decades ago. :) Win-win! Poorer people get to participate more freely in society, with more opportunities, and you don't have to print any extra money.