# Where does the $1 go? a mathematical question!?

i got math question here if you guys are smart enough figure this out.. john wanna buy a sport shoes it cost $97.

he ask from his mother for a loan $50 and also from his brother $50 loan.. combine the loan that he took from his mother and his brother is $100.. so he went to the shop and bought the shoe.. now the balance from the shoe he bought is $3.. he went back home pay back to his mother $1, so the balance of the money that he loan from his mother is $49.. then he pay back to his brother also the same amount $1 and the balance from the loan he took also $49..so the balance with him is $1.. the question is....49 + 49 = 98 + 1 = 99... how you gonna make it to be $100... where the $1 goes..

Sorry, i copy pasted this question...i had this answered before at some point from somewhere, but forgot. Now i can not figure out...

### 8 Answers

- Abdullah AlamLv 61 decade agoBest Answer
U are thinking of it the wrong way.

Dont take the difference of $98 from the $100 mark.

Think of the difference of $98 from the cost of the shoes ($97). As the difference is $1. This is the $1 john has with him.

Thats it dear.

- 1 decade ago
The way this is worded, it seems as if, magically, a dollar has simply walked off, leaving us to wonder where it has run off to.

He takes $50 from his mom, so he has $50 total.

He then takes $50 from his brother, so he has $100 total.

He then purchases a pair of shoes for $97, so he is left with $3 total.

He gives $1 to his mom, so he has $2.

He then gives $1 to his brother, so he has $1.

He started with a total debt of $100, he repaid $2, so now he still owes $98 ($49 + $49).

The trick is right here: He still owes $98, but the person telling the story says "Well, 49 + 49 = 98 + 1 = 99...." which is just not right. The "+1" should be a -1, because that is money he has to pay off towards his debt of $98, not an extra dollar that he owes (think: if he owes $98, why would you add the $1 he has to that debt? You don't, because that isn't money he owes, it's money he has)

To make this more clear, suppose he repays his mom back another dollar, with the last one he has. He would then owe his mom $48, and still owe his brother $49. $48 + 49 = $97, the money he owes, which is the exact price of the shoes.

Hope this helps!

- kinvadaveLv 51 decade ago
It's not where did the dollar go to; but where did it come from? He borrowed $98 (after refunding the $1 each) and spent $97. The other dollar is in his pocket. You should have written $49 + $49 = $97 for shoes and $1 left in pocket. If you're adding a 99th dollar whose was it originally ?

- Anonymous1 decade ago
If he had $100 and he spent $97, then he has $3 left. If he gave $1 to both his mother and his father, then he still has $1... that's where the dollar went. The "mathematical question" is a trick.

If he paid his mother and father back $1.50 each, then he'd have no money in his pocket, but a pair of $97 shoes on his feet that each of his parents paid half the cost of.

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- 1 decade ago
you're adding the wrong numbers to get to 100.

john had $100:

he spent 97 on the shoes. kept $1, gave $1 to his mum and $1 to his brother.

97 + 1 + 1 + 1 = 100 as required.

- Anonymous1 decade ago
mom gives $50

50 +

brother gives $50

50 + 50 +

boy returns $1 each

(49+1) + (49+1)= $100

boy keeps $1

49+1 + 49+1 + 1

rearranging:

49+49+1+1+1 = 100

the trick is that "$49+$49+$1" is wrong.

- 1 decade ago
he owes 98 dollars you don't add what he has only what he owes he has 1 dollar so you can completely cut that out and you add what he owes 49 to his mom plus 49 to his brother

- 1 decade ago
You gave a dollar to your mother and brother, so you cannot add how much you owe them, and how much you have.

How much you owe mother + How much you owe brother + How much you have left = 99 but how much you have alltogether is still 100.