Fun Mathy Type Riddles

[Losty]

My favorite as a child was this (it confused the heck outta me back then):

Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back, so now each guest only paid $9, bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?

This is killing me

[SaStrike]

My favorite as a child was this (it confused the heck outta me back then):

Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back, so now each guest only paid $9, bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?

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The one dollar it's with the clerk. Took me almost 10 minutes lol. Wait I might be wrong, Confusing

If they all paid 8 dollars, there would be 24 dollars with the clerk, there is 25 with the clerk and 2 with the bellhop so technically it IS with the clerk. NO???

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[Whateverist]

My favorite as a child was this (it confused the heck outta me back then):

Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back, so now each guest only paid $9, bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?

I used to give this one out to bedevil middle schoolers.

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The $2 the bell hop kept along with $3 that was returned to the guests and the actual $25 cost of the room correctly total to the $30 they originally paid.

It is true but irrelevant that $27 + $2 = $29.  $27 is the actual amount of money they paid, and that is equal to the actual cost of the room plus the money the bell hop took,  $25 + $2 = $27.  The money the bell hop took is part of what the $27 went toward, adding $2 to the $27 again doesn't make any sense.  There is no missing dollar.

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Here is another:

A man looking at a photo of someone muses, I am an only child yet that man*'s father is my father's son. Whose photo is the man looking at?

*He is referring to the man in the photo he is looking at.

I confess I screwed with the wording to foil google searches .. I hope.

[Aoi Magi]

A man looking at a photo of someone muses, I am an only child yet that man*'s father is my father's son.  Whose photo is the man looking at?

*He is referring to the man in the photo he is looking at.

I confess I screwed with the wording to foil google searches .. I hope.

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His son

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[Whateverist]

This can be approached as a mathy puzzle or one can work like a dog with some pretty ugly fractions. (Don't be that guy.)

There are two glasses containing an equal volume, one of milk and one of grape juice. A spoonful of grape juice is taken from its glass and stirred into milk glass. Then a spoonful of what had started as pure milk is returned to the grape juice glass and stirred in. At the end of each such cycle the two glasses again contain exactly the same volume of liquid. The process is repeated some number of times. When finished will there be more grape juice in the milk glass or more milk in the grape juice glass or ..?

[vorlon13]

I'm about to puke from imagining the taste

blech !

[FatAndFaithless]

This can be approached as a mathy puzzle or one can work like a dog with some pretty ugly fractions.  (Don't be that guy.)

There are two glasses containing an equal volume, one of milk and one of grape juice.  A spoonful of grape juice is taken from its glass and stirred into milk glass.  Then a spoonful of what had started as pure milk is returned to the grape juice glass and stirred in.  At the end of each such cycle the two glasses again contain exactly the same volume of liquid.  The process is repeated some number of times.  When finished will there be more grape juice in the milk glass or more milk in the grape juice glass or ..?

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Wouldn't there be equal amounts of grape juice in the milk as milk in the grape juice?  if the glasses always return to the original, equal volume, then any crossover between the two glasses must be equivalent or the volumes would be different.  If the volume of each glass is V1 = Gr1 + M1 and V2 = Gr2 + M2, and V1 = V2, then there must either be 100% Gr or M in one cup (impossible as they are being mixed), or Gr1 must = M2, and M1 must = Gr2, meaning that there is as much milk in the wine as there is wine in the milk.

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[Edwardo Piet]

The words math and fun shouldn't be used in the same sentence, without the word "not" in between.

lol spoil sport

As you can see I added speechmarks (quotation marks to you Americans) to his quote in bold.

I just thought I'd fix his Use/Mention Distinction error just to prove that I'm the REAL fuckmothering spoil sport around here

[Losty]

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I think more grape juice in the milk glass because you initially put grape juice in the milk glass. Every time after has been a juice milk mixture that was moved

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[FatAndFaithless]

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I think more grape juice in the milk glass because you initially put grape juice in the milk glass. Every time after has been a juice milk mixture that was moved

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But the volume of all the juice is conserved.  If one glass is 70% grape and 30% milk, the other one has to be 70% milk and 30% grape.  Otherwise the volumes of each glass would be different.

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