If students can't get the money prices cannot go up without a drop in enrollment thus students need a way to get money. That is why more money enables prices to go up, the alternative of going without becomes forced if students (other than the rich) cannot raise the money.
However the ability change more doesn't force it. Administration could presumably keep prices down instead of - here I have no idea what they are spending it on.
This lack of knowledge means that I cannot comment more. My opinion on using the money to pay more teachers thus reducing class size is very different from my opinion on private jets to some exotic vacation. (I don't think either of the above are the case but I could be wrong)
Those are commonly blamed, but I don't have enough information to know if they are right or any reason to believe they are experts who know what they are talking about. It isn't something that I reject, but I am careful not to believe it as well.