If you're going to a school that has either a very well regarded basketball or football program (the two big college sports) then, sad to say, they would give the bigger scholarship to the athlete every time. Schools like Duke or UNC have major basketball programs and they recruit and bring in players who can help out with that same thing with a school like University of Alabama with their football program.
And, what makes this whole setup sad (beyond cutting arts first whenever a school needs to cut spending) is that student athletes and this big programs are given a bare bones education, just enough for them to technically be students, but, bring them in just to play. The NCAA makes tons of money (as do the schools) with games being on ESPN, player jerseys the whole nine. All the while, the athletes are doing all the work, get all the credit for winning. Yet, when there's tons of money being earned on their success, none of it goes to the students. I know some people who said it's sort of like slavery.