It should be split down the middle. You want equality between the sexes right? I do find it amusing when feminists say that and then get pissed when men stop treating them special. Equality mean no more chivalry.
It's usually the guy who pays. But I guess if it was the girl who asked him for the date, then she pays. But a well mannered boy/man would insist on buying. Or if it's the first date, and neither of them (you?) are sure, then you could split the bill.