The 50 dollar give-through-give-through (relay?) project. [Details inside].

Imagine the following, if you please: John goes to a bar and drinks a few.
He has to pay 50 dollar to the bar owner, Bert, who takes the 50 at the end of the day to Peter Painter, who he owed that money for a paint job.
Peter , on his turn, delivers the 50 dollar to the baker, Simon, for the birthday cake he ordered a few days before.
Simon gives the money to the flour factory, to pay for a pending bill.
The owner of the factory had his car mended by John the bar visitor, so the next day he gives the 50 dollar to him.

So, all people got paid, with that one 50 dollar bill, and all are debt free.

On a grander scale, would this work?
Could it mean that a (small, or even big(ger)) society could exist without banking?
Without interest?