Archive through January 28, 2001

The ClubHouse: The Game II - Mysterious Puzzler: Discussions/Challenges: Spontaneous Mysteries! : Archive through January 28, 2001

Ocean_Islands

Saturday, January 27, 2001 - 01:02 pm Click here to edit this post

Three people check into a hotel.

They pay $30 to the manager and go to their room. The manager finds out that the room rate is $25 and gives $5 to the bellboy to return.

On the way to the room the bellboy reasons that $5 would be difficult to share among three people so he pockets $2 and gives $1 to each person. Now each person paid $10 and got back $1. So they paid $9 each, totalling $27. The bellboy has $2, totalling $29.

Where is the remaining dollar?

Guruchaz

Saturday, January 27, 2001 - 01:19 pm Click here to edit this post

The remaining dollar is part of the original $25 room rate. It resembles the excess change from not being able to equally divide $25 among 3 people.

Spamgirl

Saturday, January 27, 2001 - 01:20 pm Click here to edit this post

There is no remaining dollar, it all works out perfectly.

They pay $30

Hotel takes $25
Bellboy gets $5 back
He takes $2
Gives them each $1

That equals $30

Ocean_Islands

Saturday, January 27, 2001 - 01:21 pm Click here to edit this post

No, only dollar bills are available.

Ocean_Islands

Saturday, January 27, 2001 - 01:29 pm Click here to edit this post

Correct Sgirl!

Spontaneous mystery #2

Ten years from now Tim will be twice as old as Jane was when Mary was nine times as old as Tim.
Eight years ago, Mary was half as old as Jane will be when Jane is one year older than Tim will be at the time when Mary will be five times as old as Tim will be two years from now.
When Tim was one year old, Mary was three years older than Tim will be when Jane is three times as old as Mary was six years before the time when Jane was half as old as Tim will be when Mary will be ten years older than Mary was when Jane was one-third as old as Tim will be when Mary will be three times as old as she was when Jane was born.

Guruchaz

Saturday, January 27, 2001 - 04:33 pm Click here to edit this post

Oh, I already had that broken down on the last question but seemed too simple an answer. lol!

Guruchaz

Saturday, January 27, 2001 - 04:35 pm Click here to edit this post

As for the second one, I smell BS.

Ocean_Islands

Saturday, January 27, 2001 - 04:41 pm Click here to edit this post

No BS. Answer please.

Spamgirl

Saturday, January 27, 2001 - 04:51 pm Click here to edit this post

There is no question?

Ocean_Islands

Saturday, January 27, 2001 - 04:53 pm Click here to edit this post

Sorry! How old are they now? LOL

Spamgirl

Saturday, January 27, 2001 - 05:02 pm Click here to edit this post

ROFL Thanks OI :)

Jane - 7
Mary - 11
Tim - 1

that's more guessing than anything :)

Spamgirl

Saturday, January 27, 2001 - 05:04 pm Click here to edit this post

NONONO I was totally off

Jane - 8
Mary - 15
Tim - 3

I think that's right, but my brain is now MUSH! ROFL

Azriel

Saturday, January 27, 2001 - 05:06 pm Click here to edit this post

When Tim is 60 and all the rest of those people are dead and gone I'll still be just as confused!

Ocean_Islands

Saturday, January 27, 2001 - 05:12 pm Click here to edit this post

Wow Spam you are good!

The solution: Tim is 3, Jane is 8, and Mary is 15. A little grumbling is in order here, as clue number 1 leads to the situation a year and a half ago, when Tim was 1 1/2, Jane was 6 1/2, and Mary was 13 1/2.
This sort of problem is easy if you write down a set of equations. Let t be the year that Tim was born, j be the year that Jane was born, m be the year that Mary was born, and y be the current year. As indefinite years come up, let y1, y2, ... be the indefinite years. Then the equations are

y + 10 - t = 2 (y1 - j) y1 - m = 9 (y1 - t)

y - 8 - m = 1/2 (y2 - j) y2 - j = 1 + y3 - t y3 - m = 5 (y + 2 - t)

t + 1 - m = 3 + y4 - t y4 - j = 3 (y5 - 6 - m) y5 - j = 1/2 (y6 - t) y6 - m = 10 + y7 - m y7 - j = 1/3 (y8 - t) y8 - m = 3 (j - m)

t = y - 3 j = y - 8 m = y - 15

Spamgirl

Saturday, January 27, 2001 - 05:15 pm Click here to edit this post

Yeah, the halfs threw me at first, 'cuz I thought "no, it wouldn't really involve halfs??" which is how i got my first answers.... then i went with the halves :)

Ocean_Islands

Saturday, January 27, 2001 - 05:18 pm Click here to edit this post

Spontaneous Mystery # 3:

Which Box Contains the Gold?

Two boxes are labeled "A" and "B".

A sign on box A says "The sign on box B is true and the gold is in box A".

A sign on box B says "The sign on box A is false and the gold is in box A".

Assuming there is gold in one of the boxes, which box contains the gold?

Spamgirl

Saturday, January 27, 2001 - 05:19 pm Click here to edit this post

Neither :) impossible question

Ocean_Islands

Saturday, January 27, 2001 - 05:28 pm Click here to edit this post

Correct.

Spontaneous mystery # 4:

Person A loves you.
Person B hates you.

You hate person A
You love person B.

Persons A and B are friends.

What should you do?

Spamgirl

Saturday, January 27, 2001 - 05:30 pm Click here to edit this post

Get a gun.

Juju2bigdog

Saturday, January 27, 2001 - 06:41 pm Click here to edit this post

fix a and b up on a blind date.

Azriel

Saturday, January 27, 2001 - 06:48 pm Click here to edit this post

You should just move on. You can't make someone love you and you are only setting yourself up for disaster if you try to manipulate people.

Guruchaz

Saturday, January 27, 2001 - 06:50 pm Click here to edit this post

When in doubt, choose C


Azriel

Saturday, January 27, 2001 - 06:51 pm Click here to edit this post

LOL! :)

Ocean_Islands

Sunday, January 28, 2001 - 10:30 am Click here to edit this post

No one has gotten this right yet!

Are you stumped?

Juju2bigdog

Sunday, January 28, 2001 - 02:40 pm Click here to edit this post

Yep, stumped.