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 Post subject: Where does the one dollar go?Posted: Wed Nov 10, 2010 8:29 pm

Joined: Tue Oct 13, 2009 10:27 pm
Location: Philippines, Tacloban City
Good day TPForum members!
I got this text messege riddle since I was in 3rd year highschool and now I'm 2nd year college still I don't know what is the answer. Here is the problem.

You want to buy a tshirt worth 100 dollars... (I don't know what is the regular price of a tshirt in dollars,let us just use the word tshirt,sorry ). Since you don't have any money to buy that Tshirt, you borrowed 50 dollars to your mom and another 50 dollars to your dad,total you have 100 dollars in hand... You bought the tshirt,and it is worth 97 dollars... You have the change of 3 dollars.
You gave 1 dollar to your mom
You still have a debt to them 49 dollars.
You still have 1 dollar in hand.

49+49=98

plus the 1 dollar in hand.

98+1= 99

the question is, where does the 1 dollar go?

Can someone help me... Im bothered with this problem in the past 3years.

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 8:40 pm

Joined: Mon Oct 18, 2010 10:48 am
The first thing I notice is a contradiction:
HeX wrote:
You want to buy a tshirt worth 100 dollars..

HeX wrote:
You bought the tshirt,and it is worth 97 dollars...

For my solution, I'll assume the shirt is 97

You don't need to add the value of the debt to the equation.

You have: 1 dollar, a \$97 t-shirt
Mom: 1 dollar

\$3 plus the \$97 t-shirt = \$100

It doesn't matter how much you OWE them, it only matters where the money actually is. (probably in banks )

EDIT: Just found this, it may help:Missing Dollar Riddle

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 8:44 pm

Joined: Wed Jan 21, 2009 12:58 pm
Yes, another way to put it, if you wanted to talk in terms of debt: You owe your mom \$49, you owe your dad \$49, that's a total of \$98 in debt, which is exactly one tshirt plus one dollar (\$97+\$1).

Skarabajo.

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 8:52 pm

Joined: Tue Oct 13, 2009 10:27 pm
Location: Philippines, Tacloban City
Sorry for the contradiction. I'm not good in english.
Maybe thats the answer... I think.

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 8:57 pm

Joined: Sun Oct 08, 2006 1:47 pm
Location: Houston/San Antonio, Texas
Haha, this is my favorite logic problem of all time because it fools SO many people. Actually, the one I heard is slightly different, but the same concept:
Quote:
Three guys get a hotel room for \$30. That is, they each pay \$10. Later, the cashier realizes he forgot to give the guys the \$5 discount for a special. The cashier pulls \$5 out of the register and tells a bellhop to take it to the room.On his way there, the bellhop realizes \$5 cannot be divided evenly among 3 guys so he decides to keep \$2 himself. He gives the 3 guys the remaining \$3, of which each guy takes back \$1. (Now the weird part) Each guy paid \$9. 3 guys x \$9 = \$27 + the \$2 in the bellhop's pocket = \$29. Where is the 30th dollar?
If you're sure you want the answer, highlight below:

The way the problem is written leads you to an incorrect conclusion because the mathematical statements at the end do not accurately describe the situation. Think about what the statements are trying to count. \$49 + \$49 = \$98. This is the money you owe your parents. The \$1 you still have in your hand does not count TOWARDS the money you owe them, it counts AGAINST it because you could give, say, your mom the \$1 and then you would only owe a grand total of \$97. So, the correct way of stating the math at the end of the problem is: \$49 you owe your mom + \$49 you owe your dad - \$1 you still have = \$97, the cost of the shirt. Once you have given \$2 back, the amount of money still in question is NO LONGER \$100. Does that clear it up?

Peace,
Matt Galla

Edit: Just saw that new people have posted. I'll leave mine anyway. And HeX, the fact that you stated the shirt costs 2 different prices isn't the issue here. That isn't really the reason for why the math doesn't make sense. It is true that you worded it poorly, but I forgive you . It should probably read: You thought the shirt cost \$100, but after you buy it, you realize there is a discount and it really only cost \$97.

Edit again: And I see NType3 found that wikipedia describes the exact problem I gave above! The solution there probably does a better job at explaining it than me

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 9:03 pm

Joined: Tue Sep 15, 2009 1:08 am
Location: Great Falls, MT, USA
Basically, you're \$98 in debt. You still have to \$49 to your mom, & \$49 to your dad.

49+49=98 in debt.

MINUS, not plus, the 1 dollar in your hand. (The \$1 takes away from your debt, not adds too it.)

98-1=97

Since the t-shirt ended up being \$3 shorter, you only had to pay back your parents \$97, which is the same as calculated above.

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 9:11 pm

Joined: Thu Dec 24, 2009 6:56 am
Right, because when you end up with your T-shirt, you have -98 dollars, not positive, therefore the positive dollar in your hand takes away one dollar of your debt = -97 Then, If you consider your t-shirt as 97 dollars positive, you have a balance of zero, which is perfect.

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 Post subject: Re: Where does the one dollar go?Posted: Wed Nov 10, 2010 10:44 pm

Joined: Sun Jun 13, 2010 1:00 am
Nice logic question

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 Post subject: Re: Where does the one dollar go?Posted: Thu Nov 11, 2010 7:28 am

Joined: Tue Jan 13, 2009 8:23 pm
Why not split the dollar in two and give them another 50 cents each.

New Debt = \$48.50 each to your parents. \$48.50 x 2 = \$97 (the cost of the t-shirt!)

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 Post subject: Re: Where does the one dollar go?Posted: Thu Nov 11, 2010 8:03 am

Joined: Sun Mar 27, 2005 7:37 pm
HeX wrote:
Good day TPForum members!
I got this text messege riddle since I was in 3rd year highschool and now I'm 2nd year college still I don't know what is the answer. Here is the problem.

You want to buy a tshirt worth 100 dollars... (I don't know what is the regular price of a tshirt in dollars,let us just use the word tshirt,sorry ). Since you don't have any money to buy that Tshirt, you borrowed 50 dollars to your mom and another 50 dollars to your dad,total you have 100 dollars in hand... You bought the tshirt,and it is worth 97 dollars... You have the change of 3 dollars.
You gave 1 dollar to your mom
You still have a debt to them 49 dollars.
You still have 1 dollar in hand.

49+49=98

plus the 1 dollar in hand.

98+1= 99

the question is, where does the 1 dollar go?

Can someone help me... Im bothered with this problem in the past 3years.

You are adding things which shouldn't be added. You are mixing debt with the actual \$100.

\$100-

\$97 went to the store

\$100 Debt-

A lot of similar logic questions work the same way. By mixing things like debt and credit you end up confused and adding things together which shouldn't be. How do you think the bank melt down and world wide recession started?

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 Post subject: Re: Where does the one dollar go?Posted: Thu Nov 11, 2010 11:15 am

Joined: Tue Feb 09, 2010 1:56 pm
the last line, 'plus the dollar in your hand'

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