Who loves chocolates?
A young boy enters a shop to buy 200 chocolates. When the shopkeeper saw the young boy, he made a deal with the boy that for every "2 empty chocolate covers" he brings back, the shopkeeper said he will take the covers and give 1 chocolate in return. Now what is the maximum number chocolates the boy can get ?
Example if the boy buys 4 chocolates -> 4 covers -> 2 chocolates-> 2 covers-> 1 chocolate, therefore with 4 chocolates he can buy a maximum of 7 chocolates.
The answer is 399.
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1 solution
The boy starts with 200 chocolates, from which he gets 200 wrappers. These are swapped for 100 chocolates, then the same for 50 then 25 .
At this point, he can trade in 24 wrappers to get 12 new chocolates. The trick is that he keeps the extra wrapper here.
As before, now, he gets 6 then 3 chocolates. After eating these 3, he has their wrappers plus the spare one from before, so he can get another 2 and finally 1 chocolate.
The total of these is 2 0 0 + 1 0 0 + 5 0 + 2 5 + 1 2 + 6 + 3 + 2 + 1 = 3 9 9 chocolates.