Your assertion isn't correct. Billy only put up about half the $1700 because after he came home from winning $62 from hustling Sydney in the first game, Gloria proclaimed that they had around $900. I think she said after some bills they would have $850 or so. Therefore, we can assume that after the first Sydney/Billy collaboration hustle against Raymond, where they won a couple hundred bucks, that they split that too (we must also assume Sydney put up some of the pot there as well).
Billy and Gloria only had around $1000 in total before Sydney pulled his hustle against Billy. Where did the rest of the $1700 come from? Obviously it has to be Sydney. I don't think it's ever stated that Billy/Gloria ever front all the money on any of the games. Gloria is just saying 'they stole our $1700' because she was expecting to get that much at the end of the day. Technically, had the game went as Billy planned, then both Sydney and Billy would be walking home with $1700 each.
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