Giving money for paying bills

Hi,

I'm not sure if this questions belongs to "Customs" or "Relationship":

Last month my Japanese penpal came to visit me for 3 days. On the first day she gave me an envelope with money, for me to pay everything, like restaurants, entrance fees etc.

Now I'll visit her for 2 weeks in November. My question is, how to handle the money? We decided to try a relationship, and I'd like to pay as much as possible. She told me she wants to cook me some Japanese dishes... and she wants to book a stay at an ryokan with onsen... now how to talk about the money, giving an envelope with money seems to be wrong...

What do you think?

Are you just a kid or a grwon-up? How old is she?

If you are like a school boy, don't much worry about money while you are here.

If you are an adult, I would try to pay everything when we have a chance to pay for any bill like for restaurants, ryokan, thereater, etc, of course not only for my portion.

Yet, I guess she will try to feed you everywhere, if she is an adult.

Just try to pay every time you get the opportunity, like at a restaurant, grocery shopping (if she lets you accompany her), hotel, etc. About the ryokan, she "might" have to pay in advance when she books it, I mean, she would probably pick the place and does the booking, I assume. When she tells you about the ryokan, you can ask how much it costs, because you want to pay for the two of you, and wants to be prepared with enough cash, or something like that.