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So another day!
Yesterday's puzzle was solved by raiame and datscilly, as they literally posted within 1 minutes of each other. Good job!
+ Show Spoiler [solution] +
Number each color 0 to n-1. Give each prisoner a pre-determined number-sum modded n. So each prisoner would have a mod-sum ranging from 0 to n-1. When a prisoner sees all other guy's hat, he adds all other guy's hats color together, and mod it with n. He then takes that out of his pre-determined sum, and say that the difference is his own hat.
This works because as long as the prisoner can guess the total sum correctly, subtracting the other guy's hat sum will give his own hat color.
The total number of sums possible mod_n is n numbers, and since each prisoner guess a pre-determined sum from 0 to n-1, one will match the total sum and therefore one would have the right answer for his own hat color.
Day5's puzzle:
I'll give something simple today...
A vendor sells toys, he buys the toys for $18 and sells them for $21. One day, a kid walks in and hands him $100 bill, since he does not have change, he walks to his neighbor, and breaks up the $100 bill(i.e. he gives neighbor the $100 bill, and his neighbor gives him $100 worth of smaller bills).
He then proceed to give the kid his toy and change for the purchase.
Soon his neighbor was back, "Your 100$ bill was fake!", The neighbor said, and demanded his $100 back. So the vendor gives $100 to his neighbor.
How much money did the vendor lose as a result of this transaction?
Extra:
Again, put answer in spoilers, clarification will be given(unlikely for this puzzle).
Difficulty Poll:
This is something I'd like to try for fun, just try to vote honest.
Poll: How difficult is this puzzle?
(Vote): Can't do it
(Vote): Think I have it
(Vote): Sure I did it right
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+ Show Spoiler +assuming buying the toy for 18 dollars isn't counted in the transaction, 79 for change to the boy and 100 paid to the neighbor afterward, the kid never actually paid anything, so 179? if buying the toy is counted, then 197?
edit oh wait shit rofl the neighbor gave him a legit 100 so subtract 100 of lost money, 79 (not counting originally purchasing toy)/97 (counting it)?
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Editting answer.
+ Show Spoiler +Forgot the kid's bill was fake and misunderstood the question  . The profit from the neighbor is $21, excluding the change he gives to the boy. The shopkeeper then has to give $100 back to the neighbor. He also lost the toy, so it would be -18+21-100, which would be $97 lost.
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On May 01 2009 15:33 Ichigo1234551 wrote:+ Show Spoiler +100 dollars because he gave the money back to his neighbor
+ Show Spoiler +full explanation please? o.O are you counting the fact that the change for the kid was 79?
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On May 01 2009 15:37 SpiritoftheTunA wrote:+ Show Spoiler +full explanation please? o.O are you counting the fact that the change for the kid was 79?
+ Show Spoiler +Its a trick question yo. He only asks us about the transaction that he gave the money back to his neighbor.
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On May 01 2009 15:40 Ichigo1234551 wrote:Show nested quote +On May 01 2009 15:37 SpiritoftheTunA wrote:On May 01 2009 15:33 Ichigo1234551 wrote:+ Show Spoiler +100 dollars because he gave the money back to his neighbor + Show Spoiler +full explanation please? o.O are you counting the fact that the change for the kid was 79? + Show Spoiler +Its a trick question yo. He only asks us about the transaction that he gave the money back to his neighbor.
+ Show Spoiler +no i think you're just picking the wrong antecedent for "this transaction"
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+ Show Spoiler +197, spent $18 on the toy, gave the kid $79 of real money as change and gave his neighbor $100 real money
edit
wait thats wrong haha
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+ Show Spoiler +-18 for buying toy. +0 from fake money. +100 from neightbour. -79 from giving change. -100 from repaying neighbour. So lost $97 total.
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+ Show Spoiler +Where is everyone getting $118? At least explain your answer guys? lol.
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On May 01 2009 15:44 deathgod6 wrote:+ Show Spoiler +Where is everyone getting $118? At least explain your answer guys? lol.
seconded
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Whoops, revised it.
+ Show Spoiler ++21 selling to the kid
-18 for cost of toy
-100 for giving to neighbor
so he lost 97 dollars.
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+ Show Spoiler +He lost 97 dollars. His profit margin was $3. The transaction between the kid and his neighboor and stuff is all irrelevent. He still made 3 dollrs. Then the neighboor wanted 100 dollars back. So the earnings 3 minus 100 dollar is - 97. He lost 97 dollars.
and how did you guys voted in poll without before evan posted the correct answer is beyond me...
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+ Show Spoiler +As ktp posted the transaction with the neighboor is irrelevent. Think that there was no neighbor and the vendor had the change. Boy comes in gives nothing picks change (-79) and leaves with the toy (-18). Total: lose 97 doll.
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-79 for the change he gave the kid back
-18 for the cost of the toy
-100 for the money he gave the vendor
so 197
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Use spoilers+ Show Spoiler +On May 01 2009 16:53 Ichigo1234551 wrote:
-79 for the change he gave the kid back
-18 for the cost of the toy
-100 for the money he gave the vendor
so 197 -197+ 100 from neighbor= -97
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EPT
