The betting to Prices idea returns a different amount to betting an equal amount on each selection only because the outlay is invested in a different way.

You could just as easily have $150 on the First 12 bets and $50 on the Last 11 bets and probably come up with a different POT.

Or to be different again, you could invest $150 on every Odd numbered bet and have $50 on every Even numbered Bet and again probably come up with a different POT.