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Paying Paradox. Help

Let's say you want to buy a $97 shirt. You borrow $50 from Friend 1 and $50 from Friend 2. You buy the shirt and get $3 as change. You keep $1 for yourself, one for Friend 1 and the other for Friend 2. Thus, making your debt to Friend 1 $49 and Friend 2 $49 If you add the debts, 49+49, it is 98, and then add your $1 which makes $99. Where is the missing dollar?

Note by Abijah Bautista
3 years, 9 months ago

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By adding the debts, you are calculating how much you owe the 2 friends, which is \($98\). This tallies with the amount of money that you have spent or have: \(98=97\) (from the shirt you bought) \(+1\) (that you kept. ) Happy Melodies · 3 years, 9 months ago

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You should subtract it.. of course! Instead you are adding it.. :) Snehal Shekatkar · 3 years, 9 months ago

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Ok, so lets think about each person separatedly: (You:0 F1:50 F2:50 shop:0) You take the money: (You:100 F1:0 F2:0 shop:0) You buy the shirt (You:3 F1:0 F2:0 shop:97) You give each one 1 dollar (You:1 F1:1 F2:1 shop:97) You pay the debts (You:1-(49+49) F1:1+49 F:1+49 shop:97) (You:-97 F1:50 F:50 shop:97) I dont see any missing dollar.. In your text you dont take the final payment in account to sum all the money :p Actually the sum is always 100 dollars and you'll end up with a -97 debt just as expected. Anyway why are you adding debts? It doesnt have any meaning :P Lucas Guimarães · 3 years, 9 months ago

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you are supposed to subtract one, not add. Sharky Kesa · 3 years, 8 months ago

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it is with me only...because , from the beginning i don't have any money but bought a shirt with all frnds money. at last i have one dollar with me..thats the missing dollar Ravindra Sai Durbha · 3 years, 8 months ago

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This problem is very much like this one.

http://en.wikipedia.org/wiki/Missingdollarriddle Bat Man · 3 years, 9 months ago

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By what Logic are you adding the 1$ to the debt of 98$ ??? Santanu Banerjee · 3 years, 9 months ago

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Very good question, all though, I do not believe it works that way sadly.

Lets think of it another way: Debt is a separate thing from the money itself, it is how much you owe the person. I don't know exactly why it does this with two people, but it seems to not happen with one person only. This is very interesting. Nick Steichen · 3 years, 9 months ago

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