Where's the $1?

Philippines
September 10, 2008 8:43pm CST
Hi there! You roam around the mall with two of your friends when a $97 jersey caught your attention. You wanted to buy it so badly that you borrow $50 in one of your friends, and $50 to the other to accumulate the $100 debt. After accumulating the $100, you buy the $97 jersey and receive the $3 change. You give the $1 to both of your friends so you only have $49 to return to both of them. Then you have the remaining $1. Summing it up. $49 + $49 = $98 then you have the $1 in your pocket and that makes it $99 all in all. But you borrow $100. Where's the remaining $1? What do you think? Where is it?
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6 responses
• India
11 Sep 08
Tough one but actually u gtta c it d other way the jersey is for97$ and u get 3$ back 97$+3$=100$
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• Philippines
11 Sep 08
But you give $1 to both of your friends. That is acceptable is you did not give $1 to both of them. SO that creates the twist.
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@jfilips (261)
• United States
11 Sep 08
There's no other dollar, the question fooled me xD. Anyways, you owed your buddies 50 +50 making a total of 100 bucks So 50 + 50 = 100. So when you bought the jacket 50 + 50 = 97 + 2 + 1. Then you pay them back 2 bucks, one each -2 +50 +50 = 97 +1. So in the end this is what you owe them 49 + 49 = 98 dollars xD So summarizing, theres no other dollar, once you pay them back 2 dollars you end up owning them 98 dollars (97 of the jacket + 1 left on your pocket). So 98 dollars you owe + the 2 dollars you paid back already makes the 100 dollar debt =) Hope I got it right, if you understood my explanation xD!!
• Philippines
11 Sep 08
I understood your explanation. But still not quite good enough to convince me.
@jfilips (261)
• United States
11 Sep 08
meh, but do you know the answer? since from what I notice, the question is just not right. Doesn't make sense =.=''
• Philippines
11 Sep 08
I'm asking because I'm also confused. It does make sense. It has something to do with logic and corrective reasoning.
• United States
11 Sep 08
Hey iceblizzard, what's up? I'm not really in the mood for a Math problem, but here goes, lol. Did you say that you gave your friends $1 a piece or they both have gained custody of a single dollar bill? I was kind of lost at that part. I'm assuming you gave them each $1 and then that leaves the other $1 in your pocket. Which is equal to 100 in my book.
• Philippines
11 Sep 08
You got it at the last part. I give them $1 a piece. Sorry you about that part, I'm kinda confused how to arrive at a good explanation.
@Drumman (305)
• United States
11 Nov 08
total debt $100 - amount paid back $2 = new balance $98 value of jersey $97 + value of pocket $1 = total value $98 new balance - total value = zero balance
@gerald_lian (2191)
• Australia
15 Sep 08
This question sounds tricky, but it's actually not. The $1 in your pocket is actually not yours and it's still borrowed from the two friends, so this 1 dollar still has to be paid back to them. And towards the end of the question description, we can clearly see that the $1 that was returned to the two friends were not brought up again. So, yes, we owe the two friends $49 each now (making $98 in total to be paid) as we paid them back $1, so the jacket price ($97) + the $1 in your pocket makes up the $98 we have to pay back. This means the $1 is not to be added to $98, but rather subtracted from $98 to get the cost of the jacket. Hope this sounds clear enough....
@060157 (1060)
• Pakistan
11 Sep 08
u just cannot add the 49 and 49. lets say the jersey was 69 dollars and u borrowed 50 and 50 from both the friends. so u will have 31 dollars back as a change. out of which u returned 15 and 15 to each friend. that will mean that u have 1 dollar to urself and u have to return 35 and 35 to friends later. so... now if u add 35+35=70 and 70+1=71, so where did the rest of TWENTY NINE dollars go? LOL u r just summing up the wrong numbers and using ur figures, u r actually closing up to the value of '100' dollars, thats why some ppl would think that the sum SHOULD BE 100 instead of 99, and that the one dollar has disappeared.