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Old 11-03-2020, 11:52 AM   #1
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Brain Teaser

An old word math teaser:

Three traveling salesmen stop for the night to get a shower and some sleep. They check into a motel and find the rate is 30.00 per night - each pays 10.00 and they go to their room.

The desk clerk realizes they are supposed to get a corporate rate of 25.00 per night and hands the bell boy five 1.00's to give back to the salesmen.
On his way to their room he reasons they can't split 5 dollars evenly so he pockets two dollars giving the salesmen one dollar each.

Now the teaser: If each man paid 10 dollars and got back 1 dollar the they paid 3 x 9 dollars which equals 27 dollars. The bell boy pocketed 2 dollars. Add the 27 dollars and the 2 dollars and you get 29 dollars. What happened to the last dollar? They started with 30 dollars!
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Old 11-03-2020, 12:16 PM   #2
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Simple answer. The Government always gets your last dollar.
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Old 11-03-2020, 12:17 PM   #3
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There is no other dollar.
the clerk charged them $25. $25/$3 = $8.33 The bellboy should've given each salesman $1.67
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Old 11-03-2020, 12:34 PM   #4
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The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the listener assumes those amounts should add up to 30, and is then surprised when they do not ⁠— ⁠there is, in fact, no reason why the (10 ⁠− ⁠1) ⁠× ⁠3 ⁠ + ⁠2 ⁠ = ⁠29 sum should add up to 30.

The exact sum mentioned in the riddle is computed as:

SUM = $9 (payment by Guest 1) +
$9 (payment by Guest 2) +
$9 (payment by Guest 3) +
$2 (money in bellhop's pocket)

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totalling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum that we really desire is this one:

$30 = $1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$1 (inside Guest pocket) +
$2 (inside bellhop's pocket) +
$25 (hotel cash register)

This sum does indeed come out to $30.
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Old 11-03-2020, 12:39 PM   #5
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Old 11-03-2020, 01:21 PM   #6
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I got a headache reading “code”.
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Old 11-03-2020, 03:28 PM   #7
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The $2 is the difference between what they paid and the $25 they should have paid, not the difference between the $30 they originally paid and the $27 they did pay. That difference is the $3 that they got back.

signed, a former math teacher
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Old 11-05-2020, 08:46 PM   #8
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New teaser

A law enforcement officer finds a car on the side of the road

The driver is dead from a single shot to the head and the gun is on the ground next to the car

The only key to the car is in the ignition, the windows are all up, the doors are all locked (must be locked from inside on this model) and there is no bullet hole anywhere in the car

How did the driver get shot?

Apologies for the morbid context...it’s a puzzle not an actual occurrence
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Old 11-05-2020, 09:19 PM   #9
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It's a convertable
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Old 11-05-2020, 09:42 PM   #10
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Quote:
Originally Posted by TitanMike View Post
Simple answer. The Government always gets your last dollar.
What you said !!!!!!!!!!!!!!!!!!!!!!!!!!!!1
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Old 11-05-2020, 11:09 PM   #11
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It's a convertable


Convertible is correct, next teaser:

You are at the doorway to a room.
Inside the room is a circle on the floor just large enough to stand inside.
Next to the circle is a rope hanging from the ceiling just long enough for you to reach.
On the opposite side of the circle is a rope beyond your reach but long enough to be held while standing in the circle,
Your task is to walk into the room, step into the circle, grab the far rope and then the near rope.
There are no other influences other than how you solve this. (No tools, helpers, breezes from windows etc)
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Old 11-06-2020, 01:14 AM   #12
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Quote:
Originally Posted by kenandterry View Post
I got a headache reading “code”.
LOL, that made me remember two of my geocaches I have called "OUCH, you're making my brain hurt". Each one of these has 5 of these type brainteasers to solve to get the coordinates to the geocache.


Google will probably solve all of them for you, but that's not a true test of how smart you are. See if you can figure them out on your own. Please don't post the answers as these are still active geocaches.



https://www.geocaching.com/geocache/...-my-brain-hurt


https://www.geocaching.com/geocache/...d-148e6f14eb67
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Old 11-06-2020, 07:45 PM   #13
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Originally Posted by myxkp View Post
Convertible is correct, next teaser:

You are at the doorway to a room.
Inside the room is a circle on the floor just large enough to stand inside.
Next to the circle is a rope hanging from the ceiling just long enough for you to reach.
On the opposite side of the circle is a rope beyond your reach but long enough to be held while standing in the circle,
Your task is to walk into the room, step into the circle, grab the far rope and then the near rope.
There are no other influences other than how you solve this. (No tools, helpers, breezes from windows etc)


I think I inadvertently buried this one
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Old 11-06-2020, 09:41 PM   #14
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Originally Posted by myxkp View Post
Convertible is correct, next teaser:

You are at the doorway to a room.
Inside the room is a circle on the floor just large enough to stand inside.
Next to the circle is a rope hanging from the ceiling just long enough for you to reach.
On the opposite side of the circle is a rope beyond your reach but long enough to be held while standing in the circle,
Your task is to walk into the room, step into the circle, grab the far rope and then the near rope.
There are no other influences other than how you solve this. (No tools, helpers, breezes from windows etc)
You change terminology. Was that some misdirection?

I can think of several circumstances where the “far” rope is the one you can reach from the circle.

One possible solution is that the far rope is long enough to be on the floor and reaching very near the circle. If it is connected to the “near” rope (which would be ironically the one you cannot reach), you could then grasp the “far” rope and pull it until the “near” rope also becomes close enough to grasp.
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Old 11-06-2020, 10:19 PM   #15
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No misdirection intended
The second rope is described as beyond your reach from the circle

For further clarification:

Your task is to walk into the room, step into the circle, grab the near rope and then the rope beyond your reach (without leaving the circle).
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Old 11-10-2020, 07:21 PM   #16
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Brain teaser clue

Ok first clue: you are free to enter the room and make your preparatory action.

The last thing you do is to exit the room before turning around to enter the room and begin the task.

Remember no tools, helpers; nothing beyond your prep.
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Old 06-18-2021, 01:09 PM   #17
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Start the “far rope” swinging
Or
Tie the near and far rope together
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Old 06-19-2021, 12:24 AM   #18
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Originally Posted by Daxinarian View Post
Start the “far rope” swinging
Or
Tie the near and far rope together


Exactly,
Walk in, swing the rope away from the circle, walk out and back in, grab the far rope while standing in the circle and then the near rope.
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Old 06-19-2021, 12:42 AM   #19
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You are walking on a road heading for a town. You are not sure of the directions so you stop and ask a local how to get to town.

He says,
Keep walking and you will come to a fork in the road.
One fork leads to town and the other fork leads you to hell.
At the fork there will be two brothers.
One brother always tells the truth and the other brother always lies.
You can only ask one brother one question about the right road to town.
What question will you ask one of the brothers?
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Old 06-19-2021, 10:16 AM   #20
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Ask one brother “which road will you brother say leads to town?”
Thank you Labyrinth
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