Cockfight Problem - Where's my money?
There are 3 cockfight arena you bet into.
You paid $2 for every entrance fee and $2 for the exit.
In the 1st arena you bet your remaining money for a 1 cockfight and you won and then you transferred to the next arena. The same happened at the 2nd and 3rd arena. If you exit at the 3rd arena without money left, how much money did you brought before entering at the 1st arena?
Note: The money doubled every time he won. There is an entrance and exit in every arena.
The answer is 5.25.
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1 solution
we can use the reverse process here. from the end . since there is no money left its 0 (+2 /2 +2) (+2 /2 +2) (+2 /2 +2) = 5.25 or let x be the money before entering the 1st arena. (((((((((x-2) 2)-2)-2) 2)-2)-2)*2)-2)=0 evaluating this will result to 5.25