During the 2nd free-roam (1st one in the Uni), we run into Quinn & Riona exiting the restroom talking about business:
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Entering it ourselves, we see that there was a man on the other side of the glory hole cubicle:
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The pinstripe pants makes it 90% certain that it is Burke and not a student. Also, since only 1 girl would be needed for a take out order, there is no reason for Quinn to have come also unless there was business to discuss as well - and not just pleasure.
Burke is involved in the hoe ring. As to how, I have another theory that there is no actual money for the tuition since a glory hole business is hardly going to be profitable enough to to be worthwhile if you have to finance a private university's tuition fee out of the earnings.
The easiest way to run this - if Burke is involved - is for him to just key in “tuition fees paid” in the Uni’s record for those working as hoes. Quinn tells him which girls, he fudges the Uni's accounts accordingly and takes a lump sum payment or a cut for each record he alters. i.e. He's committing fraud. For the girls working for Quinn however, it would appear to be legit. They are simply told that "your fees have been deposited for you."