With the second option, Charlie would get 1 chocolate bar the first day. The first option might be better for Charlie's teeth, but the second will better satisfy his appetite.
Charlie would get 15 x 7 = 105 chocolate bars with the first option.
2 chocolate bars the second day.
4 chocolate bars the third day.
8 chocolate bars the fourth day.
16 chocolate bars the fifth day.
32 chocolate bars the sixth day.
64 chocolate bars the seventh day.
Altogether, Charlie would get 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127 chocolate
bars with this choice.
Boogle [judyfeng@mhv.net] gave Minus the right answer and some insight into Charlie's habit:
The answer is...option number two. It gives him a total of
127 chocolate bars a week, however slowly, but the
fast way, option numero uno, gives only 105 chocolate bars.
Being the chocolate freak he is, Charlie will settle for the 22
extra bars.
Christian T. Tawfik [a9504526@unet.univie.ac.at] of Austria also submitted a correct solution:
In my opinion he should choose the second one. By getting 15 bars every day heŽs got 105 at the end of the week. With the other possibility heŽll get
1+2+4+8+16+32+64=127 bars at the end of the week.
Minus wanted us to mention Bob Hansen [hansen@west.ora.com] and Michael, Sr. Joseph Muratore [cqweave@ix.netcom.com] for sending in their answers of Option #2.