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Math Challenges... solve and win e$1000


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dallyn
PostPosted: Sun Mar 11, 2007 4:06 pm Post subject: Reply with quote

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Assuming they can touch diag., I came up with 88
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MEDIC1FF
PostPosted: Sun Mar 11, 2007 4:52 pm Post subject: Reply with quote

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88
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Dave Rathbun
PostPosted: Mon Mar 12, 2007 4:44 pm Post subject: Reply with quote

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Diagonally is fine, sorry for the late answer.

The answer 88 is incorrect. Smile Contest is still open.
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yandig
PostPosted: Tue Mar 13, 2007 1:02 pm Post subject: Reply with quote

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I'll guess 108
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Dave Rathbun
PostPosted: Tue Mar 13, 2007 1:09 pm Post subject: Reply with quote

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yandig wrote:
I'll guess 108

Ding ding ding! We have a winnah! Very Happy

Here is the description from the book:

    We select the place of the first O:
    • At the center, it touches 4 S's, each touching 3 L's, each touching 3 O's, which yields 36 words
    • At the corners, no words
    • At the sides: each of the 8 O's touches 1 S, touching 3 L's, each touching 3 O's, which yields 72 words.
    In all, there are 108 words.
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Dave Rathbun
PostPosted: Tue Mar 13, 2007 1:12 pm Post subject: Reply with quote

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yandig, your e$5000 prize money has been paid.

I will post the next puzzle in a few minutes.
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Dave Rathbun
PostPosted: Tue Mar 13, 2007 1:30 pm Post subject: e$ Challenge #55 Reply with quote

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e$ Challenge #55
Compete for e$5000! (The prize amount was increased starting with e$ Challenge #15, and then again to e$5,000 with #52.) Solve the puzzle and win! ... first winning answer to each puzzle. Some of the puzzles are going to be actual math problems, others require logical thinking instead. Each puzzle comes from a book I bought a while back. The rules:
  • The answer in the book is final. Blame the publisher, not me, if you don't agree Smile
  • The first person to post the correct answer wins. Posting only, no PM's please.
  • Edited posts are disqualified, even if you have the correct answer. The most recent (last) post by you for that puzzle is the only one that will be used, so if you need to make corrections simply enter another post for the challenge.
  • You cannot win two challenges in a row, so the previous winner is not eligible for the next challenge.
  • You may win more than one challenge, just not two in a row.
I will try to post one puzzle every other day. The puzzle will be posted first, then the following day (if available) a winner will be announced. Then the arguments or discussion about the solution can commence. Razz If no correct solution has been provided then the puzzle will be extended until a winning solution is provided. The puzzles get more challenging as we get further into the book.

Grand Prize
The book has 100 puzzles. Each individual winner gets one lottery ticket per win. Once all 100 puzzles have been posted (and solved) I will draw three winning tickets from a hat. Each winner will get to pick one of 3 mystery portfolios. The portfolio will have an initial value of e$2000 as of the end of February, 2006. Each has been invested as completely as possible into one stock from the S&P 500 chosen at random. The winners will have no idea which portfolio is worth the most. The first person drawn will get their pick of all 3 portfolios, the second drawn picks from between the two remaining, and the third drawn gets stuck (or lucky) with the last one available. The holding will be sold at current market price as of the end of the contest and the e$ transferred into your account. Your name may be drawn more than once, so the more e$ challenges you win, the better your chances of winning one of the three portfolios. Cool

The stocks were randomly selected and purchased at market open March 1, 2006. e$2000 worth of shares of each of them were put into a secret account. These will become the grand prize portfolios, and the final value will be determined at market close on the day the last puzzle is solved and the e$ prize awarded.

Thanks for playing

Ready?

Here's your 55th e$ Challenge Puzzle!
    Benjamin is having dinner with a friend. Benjamin brought five dishes and his friend brought three dishes. (sounds like take-out food to me)

    At the last minute, JRW-910 comes and eats with them.

    JRW-910 pays $4 as his share. If all of the dishes have the same value, how can the money be divided between Benjamin and his first friend so each gets paid an equitable share?


Winner Hall of Fame
e$ Challenge Winner #1 Iceemaan
e$ Challenge Winner #2 nelaina
e$ Challenge Winner #3 conbrio
e$ Challenge Winner #4 geb9696
e$ Challenge Winner #5 CJ. Wentworth
e$ Challenge Winner #6 Im Not Warren Buffett
e$ Challenge Winner #7 CJ. Wentworth
e$ Challenge Winner #8 conbrio
e$ Challenge Winner #9 Im Not Warren Buffett
e$ Challenge Winner #10 conbrio
e$ Challenge Winner #11 Im Not Warren Buffett
e$ Challenge Winner #12 CJ. Wentworth
e$ Challenge Winner #13 rodder4hire
e$ Challenge Winner #14 The Jersey Devil
e$ Challenge Winner #15 conbrio
e$ Challenge Winner #16 The Jersey Devil
e$ Challenge Winner #17 emkie
e$ Challenge Winner #18 CJ. Wentworth
e$ Challenge Winner #19 InvestingMac
e$ Challenge Winner #20 emkie
e$ Challenge Winner #21 toys4tots16
e$ Challenge Winner #22 InvestingMac
e$ Challenge Winner #23 CJ. Wentworth
e$ Challenge Winner #24 nelaina
e$ Challenge Winner #25 emkie
e$ Challenge Winner #26 nelaina
e$ Challenge Winner #27 emkie
e$ Challenge Winner #28 MrT
e$ Challenge Winner #29 CJ. Wentworth
e$ Challenge Winner #30 conbrio
e$ Challenge Winner #31 MrT
e$ Challenge Winner #32 InvestingMac
e$ Challenge Winner #33 CJ. Wentworth
e$ Challenge Winner #34 Im Not Warren Buffett
e$ Challenge Winner #35 CJ. Wentworth
e$ Challenge Winner #36 MrT
e$ Challenge Winner #37 toys4tots16
e$ Challenge Winner #38 CJ. Wentworth
e$ Challenge Winner #39 MrT
e$ Challenge Winner #40 rino1
e$ Challenge Winner #41 CJ. Wentworth
e$ Challenge Winner #42 MrT
e$ Challenge Winner #43 SpiffWilkie
e$ Challenge Winner #44 MrT
e$ Challenge Winner #45 Nobody! Smile
e$ Challenge Winner #46 prederer
e$ Challenge Winner #47 conbrio
e$ Challenge Winner #48 MrT
e$ Challenge Winner #49 gnd0221186
e$ Challenge Winner #50 Kiman4
e$ Challenge Winner #51 conbrio
e$ Challenge Winner #52 MrT
e$ Challenge Winner #53 BallJacker
e$ Challenge Winner #54 yandig

e$ Challenge Winner #55 ??? Your Name Here! ???

Remember to spread the winnings around, the previous winner (yandig) is not elegible to win the current challenge. The next puzzle will be posted on or after Wednesday, time permitting, or after this puzzle is solved, whichever comes later. Total e$ prizes paid to date: e$70,500 + One Barren Desert worth e$1125 + Two Barren Deserts worth a total of e$2970.
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dallyn
PostPosted: Tue Mar 13, 2007 2:28 pm Post subject: Reply with quote

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Items

benajamin should get 2.50.
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Dave Rathbun
PostPosted: Tue Mar 13, 2007 2:36 pm Post subject: Reply with quote

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dallyn wrote:
benajamin should get 2.50.

That is the most common incorrect answer. Smile You are on the right track but are missing an important aspect of the puzzle.
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prederer
PostPosted: Wed Mar 14, 2007 7:28 am Post subject: Reply with quote

New Poster
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Joined: 07 Aug 2006

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Items

Assuming each person had 1/3 of the dishes:

JRW-910 paid $4, so the total cost of the meal is $12.

Benjamin brought $7.50 worth of food ($12 * 5/Cool

Benjamin ate $4 worth of food.

Benjamin should get $3.50 back.
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MrT
PostPosted: Wed Mar 14, 2007 9:05 am Post subject: Reply with quote

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Benjamin should get $3.50 and his friend should get $.50.
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Dave Rathbun
PostPosted: Wed Mar 14, 2007 11:11 am Post subject: Reply with quote

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prederer wrote:
Assuming each person had 1/3 of the dishes:

JRW-910 paid $4, so the total cost of the meal is $12.

Benjamin brought $7.50 worth of food ($12 * 5/Cool

Benjamin ate $4 worth of food.

Benjamin should get $3.50 back.

MrT wrote:
Benjamin should get $3.50 and his friend should get $.50.

Hm. A bit of a quandry. prederer has the correct logic but an incomplete answer. MrT provided the complete answer, but didn't show any work, and the answer came several hours later. Razz Given that the prizes have been increased to e$5,000 for each puzzle, I think that I am going to solve this by splitting the award money between both.

Since prederer wrote a detailed explanation for the answer (and answered first) but did not complete the answer (did not say where all of the $4 was to go, only that Benjamin got $3.50) and since MrT didn't provide any justification but did offer a complete answer, and since I like a certain amount of symmetry, I will award prederer with e$3,500 and MrT with e$500 to match the ratio of the $4 split from the puzzle. That leaves e$1000 remaining, which I will split equally.

So prederer will be awarded e$4,000 while MrT will be awarded e$1000 for his later less-detailed but complete response.
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Dave Rathbun
PostPosted: Wed Mar 14, 2007 1:33 pm Post subject: Reply with quote

CFO
CFO

Joined: 10 Apr 2005

Posts: 3664
This Month: 19
Location: Texas
387969.73 e$

Net worth: 520,957.73
Portfolio Value: 0.00
Monthly Return:
0.00%
Trades this month: 0
Churn Rate: 0.00%

Items

Winners paid, it will be a few days before I can post another challenge, but they'll be back.
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MrT
PostPosted: Thu Mar 15, 2007 12:54 am Post subject: Reply with quote

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Posts: 196
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467.96 e$

Net worth: 427,361.96
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Monthly Return:
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Trades this month: 3
Churn Rate: 49.96%

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Haha, I like your logic. I only answered because I didn't think he had a complete answer before. Smile
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Dave Rathbun
PostPosted: Thu Mar 15, 2007 2:56 am Post subject: Reply with quote

CFO
CFO

Joined: 10 Apr 2005

Posts: 3664
This Month: 19
Location: Texas
387969.73 e$

Net worth: 520,957.73
Portfolio Value: 0.00
Monthly Return:
0.00%
Trades this month: 0
Churn Rate: 0.00%

Items

I was a little worried that you would be mad, so thanks for posting. Smile
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