"Hi there! I saw you had liked my profile. Haha.
What made you want to major in engineering? That is awesome.
What do you look for in a guy?"
Bear in mind her profile did not have a TON of info.
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My guess would be that the likes were coming from them viewing your profile through a quick match. They can't see your profile or how you answered questions that may be deal-breakers for them, it's just a 'look at the picture, and like or pass' kind of situation. Far different than someone that found your profile 'naturally' and liked it because they liked what they read.
Otherwise they would reply to the messages more often.