economics

I got into an argument with a friend of mine lasting an hour without reaching a consent. I told him a story: "a russian goes into a hotel and leaves 100$ on the counter saying that he goes upstairs to see the rooms, and if he doesn't like the rooms he will come back and take his money back. The hotel owner comes after 1 minute, sees the money ant takes it, paying the meat distributor that supplied the hotel restaurant. The meat guy pays the animal food guy that pays for his whore. All with the same 100 bill. The whore then goes to the hotel and pays for her room with the 100 bill and leaves. The russian comes back down takes the money and leaves. And thus, nothing was lost, nothing was gained, but everybody paid their debts." My friend says no this is not true, that a debt was lost somewere, that the circle is not closed etc. Who is right??? with arguments please

Who gain/lose and who doesn't:
Russian - "Lose", Leave money in reception.

Hotel owner - Gains meat for the restaurant, he pays the meat guy with left money

Meat guy - Gain, not money but he get animals. get paid for meat, pays for animals.

Animal food guy - Gain, he doesn't gain any money either but satisfaction. gets paid for animals spends it on the whore.

Whore - Depends on. no money but satisfaction(?). Get paid for sex, pays for room.

Hotel owner - Gains/lose nothing. Get paid for room, give back the money to Russian.

Russian - Hasn't gained or lost anything

Any more accurate than this can't be written.(that he's a Russian is NOT relevant, for all i care could he/her be a Japanese)