I saw a shirt for $97.I borrowed $50 from my mom and $50 from my dad.I bought the shirt with $3 of change. I gave $1 to my mom,$1 to my dad and kept $1 for myself.Now I owe mom $49 and my dad $49,$49+$49=98+my $1.Where did the other $1 go?
Answers
Answered by
8
Solution:-
The other $ 1 didn't go anywhere. This is a counting trick! The $ 49 + $ 49 + $ 1 = $ 99 is a very clever counting trick to hide the remaining $ 1 which physically didn't go anywhere.
The error comes about by being inconsistent in how you account for where the $ 1 gone after giving $ 1 each to mother, father and yourself respectively. First you used the$ 3 in change to erroneously subtract $ 1 from what you owe each of your parents ($ 50 - $ 1 = $ 49) (you are counting backwards) and then you added to that total debt balance of $ 98($ 49 I owe mother = $ 49 I owe father), The $ 1 which you kept with yourself to then arrive at the false sum of $ 99, when you should have correctly and consistently added the $ 3 back onto the $ 97 cost of the shirt so that the correct total balance of $ 100 would then be realized and accounted for as follows:-
Before the purchase of the shirt:
Amount borrowed from mother = $ 50
Amount borrowed from father = $ 50
Total borrowed amount = $ 100
---------------------------------------------------
After the purchase of the shirt:
Cost of the shirt = $ 97
Plus $ 3 change :
Amount returned to mother = $ 1
Amount returned to father = $ 1
Amount kept with myself = $ 1
_____________________________________
Total amount = $ 100
The other $ 1 didn't go anywhere. This is a counting trick! The $ 49 + $ 49 + $ 1 = $ 99 is a very clever counting trick to hide the remaining $ 1 which physically didn't go anywhere.
The error comes about by being inconsistent in how you account for where the $ 1 gone after giving $ 1 each to mother, father and yourself respectively. First you used the$ 3 in change to erroneously subtract $ 1 from what you owe each of your parents ($ 50 - $ 1 = $ 49) (you are counting backwards) and then you added to that total debt balance of $ 98($ 49 I owe mother = $ 49 I owe father), The $ 1 which you kept with yourself to then arrive at the false sum of $ 99, when you should have correctly and consistently added the $ 3 back onto the $ 97 cost of the shirt so that the correct total balance of $ 100 would then be realized and accounted for as follows:-
Before the purchase of the shirt:
Amount borrowed from mother = $ 50
Amount borrowed from father = $ 50
Total borrowed amount = $ 100
---------------------------------------------------
After the purchase of the shirt:
Cost of the shirt = $ 97
Plus $ 3 change :
Amount returned to mother = $ 1
Amount returned to father = $ 1
Amount kept with myself = $ 1
_____________________________________
Total amount = $ 100
Answered by
0
you have 1 borrowed dollar
the shirt costs 97 dollars
thats 98 dollars of debt
you owe your parents 98 dollars because you paid them one each already
how did you lose money?
There is no missing dollar. After buying the shirt you are 100$ in debt (or -50+ -50, if you break it apart). If you pay back a dollar a piece and keep one, it look something like (-50+1)+(-50+1)+1= -97 (assuming the dollar you have on the side will still be payed back to one of them). The problem with you original post is you are subtracting 2 of 3 dollars and adding the other, it doesn't work like that. If you add all three to the dollars to the original 100$ debt, it works out correctly.
the shirt costs 97 dollars
thats 98 dollars of debt
you owe your parents 98 dollars because you paid them one each already
how did you lose money?
There is no missing dollar. After buying the shirt you are 100$ in debt (or -50+ -50, if you break it apart). If you pay back a dollar a piece and keep one, it look something like (-50+1)+(-50+1)+1= -97 (assuming the dollar you have on the side will still be payed back to one of them). The problem with you original post is you are subtracting 2 of 3 dollars and adding the other, it doesn't work like that. If you add all three to the dollars to the original 100$ debt, it works out correctly.
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