Grants and scholarships are different, FWIW. Pell grants can be an extreme amount of money depending on your income bracket, but given the prior knowledge that people at each income bracket will make up the difference in amount (for a service like education), it can be seen as increasing school prices by the highest paid amount.

Yes I suppose you're technically correct. But government grants hardly pay for poor people's education, especially considering they trap them in the cycle of being unable to pay for books and food without earning too much to lose the grant.