There is no missing dollar. You told the story in a way that was misleading. It doesn't make sense to add up money that is owed with money that people have. The girl owed $98 and she had a bag worth $97 and a dollar, so the amount that she had was the same as what she owed.
Alternatively, at the beginning of the story, the three friends had $100 between them. At the end, they had a bag worth $97 and $1 each, which still adds up to $100, so nothing was lost.
To do it algebraically:
Let A, B, and C represent the amount of money friends A, B, and C, have respectively.
At the beginning of the story, A = 50, B = 50, C = 0
Then C borrows the 100, so A = 0, B = 0, C = 100
Now C buys the bag, so A = 0, B = 0, C = 3 + bag
Now C gives $1 back to A and B, so A = 1, B = 1, C = 1 + bag.
Another interesting explanation of a similar problem is available at http://en.wikipedia.org/wiki/Missing_Dollar_Paradox
2006-07-12 06:40:40
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answer #1
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answered by mathsmart 4
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She paid her friends one dollar each which adds to 2.00 from the change she was given back. The only problem with this problem is the last statement "Add $1.00 to the $98.00 and you get $99.00. Now, where is the missing $1.00?" when you should have added $2.00 (one dollar given to each) She kept the 1.00 from the change given back so she still owns each friend 49.00 each.
2006-07-12 13:57:31
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answer #2
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answered by The Kings 4
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If it 3 friends then I can only assume that she is one of the friends. Therefore, the friend that made the purchase still has 1 on the dollars.
2006-07-12 13:40:24
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answer #3
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answered by nana4dakids 7
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Nothing happened to the missing dollar. Order of operations. there is a similar riddle involving 3 men, a hotle room, and a bellboy.
2006-07-12 13:38:19
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answer #4
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answered by christigmc 5
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WHAT IS THIS SO SIMPLE WHERE IS THE RIDDLE?
AFTER GETTING BAG, SHE HAS GOT $3
SHE RETURNS $2, IT MEANS SHE HAS BORROWED $98 ($49+$49) AND NOT $100. SHE HAS A BAG OF $97 AND $1 LEFT WITH HER.
2006-07-12 13:59:50
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answer #5
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answered by Gurudev 3
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she kept it. she had $3 left over and only gave her two friends $1 each. She would have to get them $1.50 each to get rid of the $3.
2006-07-12 13:39:18
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answer #6
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answered by Sunshine 5
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There is no missing dollar. This riddle uses word play to alter the equation.
2006-07-12 13:38:21
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answer #7
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answered by ratboy 7
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Been there, seen it, done it. It's old.
2006-07-13 10:54:51
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answer #8
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answered by Anonymous
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who knows. good one.
2006-07-12 13:37:30
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answer #9
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answered by ju_ty 1
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in her pocket
2006-07-12 13:46:07
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answer #10
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answered by silent 1
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