Puzzle Help Items 013-024

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024  A Frog in a Hotel
023  The Knight's Tour 2
022  Number Tree - MC2
021  Dots & Boxes
020  Six Numbers
019  Coins & Triangles
018  Replacement Pieces, Solutions, Cards...
017  Answers to Puzzles
016  In Ancient Greece
015  Four Knights
014  Cut the Q
013  The Testa
024  A Frog in a Hotel
Question: Please help me figure this out!!!!!
Pamela S.

THE MISSING DOLLAR! 3 MEN GO INTO A MOTEL. THE MAN BEHIND THE DESK SAID THE ROOM IS $30, SO EACH MAN PAID $10 AND WENT TO THE ROOM. A WHILE LATER THE MAN BEHIND THE DESK REALIZED THE ROOM WAS ONLY $25, SO HE SENT THE BELLBOY TO THE 3 GUYS' ROOM WITH $5. ON THE WAY THE BELLBOY COULDN'T FIGURE OUT HOW TO SPLIT $5 EVENLY BETWEEN 3 MEN, SO HE GAVE EACH MAN A $1 AND KEPT THE OTHER $2 FOR HIMSELF. THIS MEANT THAT THE 3 MEN EACH PAID $9 FOR THE ROOM, WHICH IS A TOTAL OF $27, ADD THE $2 THAT THE BELLBOY KEPT = $29. WHERE IS THE OTHER DOLLAR?

Question: I have got one puzzle from one of my friend. I have solved it and would like to share with you all. Rgds 
Rajesh K.

Three Friends wanted to buy a chicken. They collect 10$ each and go to a chicken shop and buy a chicken worth of 30$. At that time shopkeeper was not in the shop so they dealt with his servant. When shopkeeper returned then he told that chicken was of only 25$ worth and instructed servant to returned their 5$. When servant headed , He started thinking that he has to get change of 5$ to return each of the friends. After so much thinking he returned 1$ to each of the friend and kept 2$ in his pocket. 

Now question is when servant has already returned their 1$ back then each friend's share in the chicken becomes only 9$. So if you calculate total expenditure, then this is like 3 multiplies by 9$(Each Friend's) and added by 2$ kept by servant. But Total becomes only 29 $ wherever actual spent was 30 $. Right. Where is 1$. Can somebody solve this Puzzle ??

Question: my mother's b-friend told me this riddle but never told me the answer. try 2 figure this out. 

these three fishermen got tired and decided 2 sleep @ a hotel. 2 save money they decided 2 share a room and split the money evenly. the hotelcost $30.00 dollars a night so each fisherman paid $10.00. Later, the dude who owns the hotel notice that there was a mistake. the room was only $25.00 so he sent the bell boy up to the fishermen' room with $5.00. the bell boy didn't know how 2 split $5.00 w/ 3 people so he gave them all $1.00 each & took $2.00. 

so here's the question, where's the other $1.00?

Question: Have you or anyone heard of the "Frog" puzzle or the "Hotel" puzzle? 

The first is about a frog that falls into a well and has to climb out and you have to determine how long it takes it........

The second is about three men who pay $30 total for three seperate hotel room. The clerk determines they paid $5 too muh and has the bellman return them the money. Bellman pockets $2 and gives each $1. If they only paid $27 for the three rooms and the bellman kept $2, what happened to the other dollar? 

Anyway, please help with both. Any answers with explanation would be appreciated. Thanks!
K.

Answer: Hotel
The three men paid $27, which amount they paid as $25 for the three separate hotel rooms, and $2 go to the bellman. So there is no other dollar at all.

Frog
It may be a very long climbing for the frog, if we don't know how deep the well is, and how agile the frog is........

Answer: Hey, i know the answer to the frog one and how to figure it out! its about the frog who's in a 12 feet deep hole, and needs to get out of it, but you see, it can only jump 3 feet high, and every time it jumps 3 feet, it falls back 2 feet. well if you count, about the jumps, then you will find out that he jumps 10 times to get to the top.

p.s. we learned this in Language Arts class because our teacher always puts a riddle or something on the board, and we have to figure it out. she gave us the answer today, and i just checked this site today, isn't that such a coincidence???
Meg

Reply: We aren't sure whether it is or not, but in any case it's amazing! Thank you!!

Answer: Look at this as if the 3 were charged correctly. The room costs $25 or $8.33 per person. They paid $30 or $10 each and then got $1 dollar back (for a net of $9 each). The difference between what the room costs($25) and what each paid (3 x $9 = $27) is $2. The bellboy kept this. There is no extra dollar.

S. and B.

Answer: the solution stated on your site:
Hotel
The three men paid $27, which amount they paid as $25 for the three separate hotel rooms, and $2 go to the bellman. So there is no other dollar at all.

This is completely non-sensical!
There is no solution to this quiz as its where mathematics has been proved to have an error.
This is also the reason accounts do NOT mix the income and expenditure.
The answer is in the way the question is worded. You cannot add what one person HAS to what someone else has PAID and come up with any kind of a meaningful number, you have to subtract. Each man has paid $9.

The bellhop has $2.
Men paid: $9 x 3 = $27
$27 - $2 = $25 (that the hotel clerk has)

To look at it from the standpoint of the original $30. Each man has $1.
The bellhop has $2.
The hotel clerk has $25.
Total $1 x 3 = $3
2+25+30

Jason S.

Reply: Thank you for all of these explanations. Actually this puzzle is very old and the very idea of it is to confuse a solver with that jugglery of numbers or as it was said above - with mixing income and expenditure. That's all the trick behind it - no more. Though there are some other puzzles of such kind this is the brightest one of them that came through the years.
Modified: June 23, 2003
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The Knight's Tour 2
023  The Knight's Tour 2
Question: The Knight's Tour 2... Your unique 17 move board has only 16 moves I counted 20 times exactly!!!!!!!!!!!!!!!!!!!!!! 
Write me with an explanation!!!!!!! 
see ya!!
An.

Answer: When we talk about N-move solution to this puzzle, with every move we mean a single (and the only possible for the chess knight) move - a line which joins the centers of the two successive cells. 

Of course, in the illustration to the 17-move solution you may see that two single segments representing two single moves of the knight visually form a long, double segment; but in any case to make it the knight must do two (!) jumps - two moves. Perhaps, we should show this more clear. So, in fact, the solution still counts 17 single moves, as stated.
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Mini-Contest 2 - Finished
022  Number Tree - MC2
Question: Here is a puzzle that I am stuck on and cant figure out... My friends and I have tryed to come up the solution and how you get the solution but it is creating more difficulty... Can u please help me with it... what number fits into the circle: carefully look at the connecting lines...
G.
 
Mini-Contest 2 is Finished
It was our second mini-contest. Now we have the first six correct answers and propose this contest's results and some details about the puzzle and its solution. With this Mini-Contest 2 is finished.

Contest Results
The winners are:
1. Paula Fleming.
2. Henry Arthur Powers.
3. Marijke van Bomme.
4. Avi Friedman.
5. Joshua Dillon.
6. Kennedy Pardee.
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021  Dots & Boxes
Question: In a recent 'Discover' issue, it said that there was a dots-and-boxes game at www.puzzles.com . I am unable to find it.
Michael R.

Answer: For some time a link to the Dots & Boxes game could be found at our former PuzzleUP sector (now Puzzle Links) - Expert section. But unfortunately seems this game disappeared from the Web and thus we removed the link to it as well. We are really sorry about it.
Modified: June 23, 2003
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Six Numbers
020  Six Numbers
Question: Six Numbers... Why not just circle one 1, two 3's one 5 and one 9??? It doesn't say they have to be in a row or anything so why even go to the trouble of making up numbers... 
Andrew C.

Answer: Unfortunately your solution to the puzzle isn't correct, because you circled only five numbers. 

Please note that the description to the puzzle says: "Now circle exactly six numbers from this set so that they add up to 21."
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Coins & Triangles
019  Coins & Triangles
Question: in your coins & triangles there is a better solution

just remove these three coins to have no equilateral triangles left

                 0
                0 0
               0 0 0
              0 0 0 0

Answer: Unfortunately this solution is not correct either. There are still two equilateral triangles left in it. One of them is the biggest one. Can you find the second?..
Question: Coins & Triangles... i think you could remove all 3 corner coins and the center coin for another solution.
David L.

Answer: Unfortunately your solution is wrong. When you remove all the three corner coins and the central one, you'll get a circle with six coins. This shape still contains two equilateral coin triangles. Can you see them?
Modified: February 14, 2006
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018  Replacement Pieces, Solutions, Cards...
Requests: Very often we receive messages with requests for the lost parts, instructions or solutions to the ThinkFun's puzzles.

Question:
I purchased the Hippo Haven puzzle, but unfortunately I have lost the solution. Is there somewhere I can obtain the solution for this. Thank you.
Cindy R.

Question: Hello there! We love your puzzles!

My 7 year old is very fond of the Hoppers game. His 3 year old brother lost one of the frogs. Can I order one frog from you to keep peace in my house? I would be so grateful!! Sincerely,
Lori S

Answer: We would be willing to help, but unfortunately it is not our field since we are the Puzzles.COM team. The ThinkFun’s puzzle related requests are handled by the ThinkFun team directly. At the moment the way to get instructions, solutions or lost parts to the ThinkFun's (formerly Binary Arts) puzzles is to contact them at:

ThinkFun, Inc.
1321 Cameron Street
Alexandria, VA 22314
USA

A faster way, though, could be to contact their receptionist Rhonda Miller by phone - 703-549-4999, by fax - 703-549-6210, or by email - provided below.



Of course, in case you send us such a request we forward it directly to ThinkFun. Thus, it is handled anyway.
Modified: September 26, 2005
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017  Answers to Puzzles
Question: I was looking at your site to use with my third graders. I'd like to print off some of the puzzles but was wondering if you have answers to the puzzles on your site too... Thanks
Jill G.

Answer: Yes, we give the answers to the puzzles!

If you search our PuzzlePLAYGROUND sector, you'll see in every puzzle page the Solution button. For many of the puzzles we give special pages to print boards and pieces for these puzzles. You'll see the Print & Play button in such pages (and sometimes additional hyperlinks from the puzzle descriptions directly).

In our PuzzleCLUB sector we give answers to the puzzles in a few weeks after the first publication.
Question: I think I have solved the Tents puzzle, but there are some questions about the solution I found. Can you possibly send the solution so I can resolve these questions?? Thank you, 
Ray

Answer: Now the solution to the Tents puzzle is posted at the Our Collection section of the PuzzleCLUB sector.
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In Ancient Greece
016  In Ancient Greece
Question: in your solution for "in ancient greece", you disobeyed your own rules by going over the same line twice.
K.

Answer: Please note that the description to the puzzle says: "You're allowed to go over the same lines more than once." 

Of course, this Loyd's puzzle may be solved as a "standard unicursal" puzzle without going over any part of the line twice, or crossing it. 

But the object of the puzzle we proposed is to draw the symbol with one continuous line, making the minimum possible number of turns.
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Four Knights
015  Four Knights
Question: Four Knights... why not 8 moves for the solution?

1-6, 6-7
7-6, 6-1
3-4, 4-9
9-4, 4-3

Am I missing something?
Chris G.

Answer: Unfortunately, your solution is wrong. Please note that the description to the puzzle says: "One move is a normal knight's move on any vacant cell of the board." 

In your solution you place some knights at the cells which are occupied by another knights - moves 6-7 and 4-9.
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Cut the Q
014  Cut the Q
Question: In the puzzle "Cut The Q" it doesn't state how to cut. If possible, it would help if you included that information in your instructions paragraphs.
Amanda Y.

Answer: The Cut the Q puzzle was proposed as one of the contest things at the 9th World Puzzle Championship in Stamford, Connecticut, last year in October. See our report.

Challenges at such Championships are a little harder than common puzzles, so some details are left to be discovered by participants as a part of the contest. 

That's why in the Cut the Q puzzle it doesn't state how to cut the shape. We saved the authenticity of the challenge, to give the taste of the challenges from the Championship.
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The Testa
013  The Testa
Question: i don't understand how you cut them and move them. on your games like the testa. how do i do that plz tell me.
amanda

Answer: To solve the Testa puzzle you'll need to print out its pieces, first. Just click the Print & Play button beneath the description, and you'll see a page with the pieces.

Now print that page on your printer, and then cut out the pieces carefully. You'll get two pieces 1x2 and seven pieces 1x3 - nine pieces altogether.

When you have the pieces, arrange them into a 5x5 square so that exactly five different colors are in every row and column. It's not an easy puzzle, but we sure you can do it!
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