From what I understand, @ClarinetDad16, Penn offers aid based on what they think the person needs, not what the student may need. They do not offer merit aid.
@ayyyyyyy, They are not supposed to limit aid to low-income students; I would think that would reflect negatively on them and should not be the case with someone with high stats. We had several students at my school get “flown in” on WUSL’s dime. They paid for flight, meals and overnight.