# 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 4 years, 8 months ago MarkdownAppears as *italics* or _italics_ italics **bold** or __bold__ bold - bulleted- list • bulleted • list 1. numbered2. list 1. numbered 2. list Note: you must add a full line of space before and after lists for them to show up correctly paragraph 1paragraph 2 paragraph 1 paragraph 2 [example link](https://brilliant.org)example link > This is a quote This is a quote  # I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world" # I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world" MathAppears as Remember to wrap math in $$...$$ or $...$ to ensure proper formatting. 2 \times 3 $$2 \times 3$$ 2^{34} $$2^{34}$$ a_{i-1} $$a_{i-1}$$ \frac{2}{3} $$\frac{2}{3}$$ \sqrt{2} $$\sqrt{2}$$ \sum_{i=1}^3 $$\sum_{i=1}^3$$ \sin \theta $$\sin \theta$$ \boxed{123} $$\boxed{123}$$ ## Comments Sort by: Top Newest See this as: 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. ) - 4 years, 8 months ago Log in to reply You should subtract it.. of course! Instead you are adding it.. :) - 4 years, 8 months ago Log in to reply 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 - 4 years, 8 months ago Log in to reply you are supposed to subtract one, not add. - 4 years, 8 months ago Log in to reply 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 - 4 years, 8 months ago Log in to reply This problem is very much like this one. http://en.wikipedia.org/wiki/Missingdollarriddle - 4 years, 8 months ago Log in to reply By what Logic are you adding the 1$ to the debt of 98\$ ???

- 4 years, 8 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.

- 4 years, 8 months ago

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