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[Math Puzzle] Day5

Blogs > evanthebouncy!
Post a Reply
1 2 Next All
evanthebouncy!
Profile Blog Joined June 2006
United States12796 Posts
Last Edited: 2009-05-01 06:30:27
May 01 2009 06:27 GMT
#1
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.
[image loading]

Poll: How difficult is this puzzle?
(Vote): Can't do it
(Vote): Think I have it
(Vote): Sure I did it right



Life is run, it is dance, it is fast, passionate and BAM!, you dance and sing and booze while you can for now is the time and time is mine. Smile and laugh when still can for now is the time and soon you die!
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
Last Edited: 2009-05-01 06:35:37
May 01 2009 06:32 GMT
#2
+ 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)?
posting on liquid sites in current year
EsX_Raptor
Profile Blog Joined February 2008
United States2802 Posts
May 01 2009 06:32 GMT
#3
+ Show Spoiler +
$118
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
May 01 2009 06:33 GMT
#4
On May 01 2009 15:32 EsX_Raptor wrote:
+ Show Spoiler +
$118

awesome
posting on liquid sites in current year
Ichigo1234551
Profile Blog Joined October 2008
United States649 Posts
Last Edited: 2009-05-01 06:39:19
May 01 2009 06:33 GMT
#5
+ Show Spoiler +

100 dollars because he gave the money back to his neighbor
I WILL DESTROY YOU IN 2009 OK???????????????
deathgod6
Profile Blog Joined January 2008
United States5064 Posts
Last Edited: 2009-05-01 06:42:34
May 01 2009 06:34 GMT
#6
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.
4.0 GPA = A rank 5.0 GPA = Olympic --------- Bisu, Best, Fantasy. i ♥ oov. They can get in my BoxeR anyday.
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
May 01 2009 06:37 GMT
#7
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?
posting on liquid sites in current year
Ota Solgryn
Profile Blog Joined January 2008
Denmark2011 Posts
May 01 2009 06:39 GMT
#8
+ Show Spoiler +
179$
ihasaKAROT: "Wish people would stop wasting their lives on finding flaws in others"
Ichigo1234551
Profile Blog Joined October 2008
United States649 Posts
May 01 2009 06:40 GMT
#9
On May 01 2009 15:37 SpiritoftheTunA wrote:
Show nested quote +
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.
I WILL DESTROY YOU IN 2009 OK???????????????
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
May 01 2009 06:42 GMT
#10
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"
posting on liquid sites in current year
Plutonium
Profile Joined November 2007
United States2217 Posts
Last Edited: 2009-05-01 06:49:17
May 01 2009 06:42 GMT
#11
nvm
delanZia
Profile Blog Joined October 2008
Australia34 Posts
Last Edited: 2009-05-01 06:44:14
May 01 2009 06:42 GMT
#12
+ 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
if not now then when?
Rhaegar99
Profile Blog Joined September 2008
Australia1190 Posts
May 01 2009 06:43 GMT
#13
+ 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.
deathgod6
Profile Blog Joined January 2008
United States5064 Posts
May 01 2009 06:44 GMT
#14
+ Show Spoiler +
Where is everyone getting $118? At least explain your answer guys? lol.
4.0 GPA = A rank 5.0 GPA = Olympic --------- Bisu, Best, Fantasy. i ♥ oov. They can get in my BoxeR anyday.
SpiritoftheTunA
Profile Blog Joined August 2006
United States20903 Posts
May 01 2009 06:45 GMT
#15
On May 01 2009 15:44 deathgod6 wrote:
+ Show Spoiler +
Where is everyone getting $118? At least explain your answer guys? lol.

seconded
posting on liquid sites in current year
Plutonium
Profile Joined November 2007
United States2217 Posts
Last Edited: 2009-05-01 06:49:01
May 01 2009 06:48 GMT
#16
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.
ktp
Profile Blog Joined January 2007
United States797 Posts
Last Edited: 2009-05-01 07:13:40
May 01 2009 07:07 GMT
#17
+ 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...
Malongo
Profile Blog Joined November 2005
Chile3472 Posts
May 01 2009 07:39 GMT
#18
+ 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.
Help me! im still improving my English. An eye for an eye makes the whole world blind. M. G.
Ichigo1234551
Profile Blog Joined October 2008
United States649 Posts
May 01 2009 07:53 GMT
#19
-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
I WILL DESTROY YOU IN 2009 OK???????????????
Malongo
Profile Blog Joined November 2005
Chile3472 Posts
May 01 2009 08:02 GMT
#20
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
Help me! im still improving my English. An eye for an eye makes the whole world blind. M. G.
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