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Author Topic: Who can solve this?  (Read 1608 times)

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Offline Gracified23

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Who can solve this?
« on: September 03, 2014, 07:54:51 PM »
If you saw a tablet that you really like that is on sale for $97 but don't have the money to buy it, you can borrowed the money from Josh and Mary to pay for it. Suppose you take $50 from Josh and $50 from Mary. That's $100 total. You pay the tablet and the cashier give your $3 change back. You decide to keep a dollar for yourself and repay Josh a dollar and Mary a dollar. You now owe Josh and Mary forty-nine buck each. Forty-nine x two = ninety-eight dollars plus the dollar you keep. So that's ninety-nine buck. Where is the other dollar?



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SamyElisabeth

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Re: Who can solve this?
« Reply #1 on: September 03, 2014, 10:11:09 PM »
If you saw a tablet that you really like that is on sale for $97 but don't have the money to buy it, you can borrowed the money from Josh and Mary to pay for it. Suppose you take $50 from Josh and $50 from Mary. That's $100 total. You pay the tablet and the cashier give your $3 change back. You decide to keep a dollar for yourself and repay Josh a dollar and Mary a dollar. You now owe Josh and Mary forty-nine buck each. Forty-nine x two = ninety-eight dollars plus the dollar you keep. So that's ninety-nine buck. Where is the other dollar?

It fell into the unholy vortex of arithmetic hell.



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Offline minorcharacter

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Re: Who can solve this?
« Reply #2 on: September 04, 2014, 08:23:39 AM »
If you saw a tablet that you really like that is on sale for $97 but don't have the money to buy it, you can borrowed the money from Josh and Mary to pay for it. Suppose you take $50 from Josh and $50 from Mary. That's $100 total. You pay the tablet and the cashier give your $3 change back. You decide to keep a dollar for yourself and repay Josh a dollar and Mary a dollar. You now owe Josh and Mary forty-nine buck each. Forty-nine x two = ninety-eight dollars plus the dollar you keep. So that's ninety-nine buck. Where is the other dollar?

This is a trick question.  The bolded part is entirely irrelevant and just there as smoke and mirrors.  You paid Mary and Josh back.  Trying to add up back to $100 is a fallacy, the reader should be counting down to 0 when both Josh and Mary are paid off.   O0



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Offline Gracified23

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Re: Who can solve this?
« Reply #3 on: September 04, 2014, 08:43:29 AM »
Ok, but you borrowed $50 from Josh and Mary in the first place. That's $100.

Tablet goes for $97. So $100-$97 = $3 change.

You then repay $1 to Josh and $1 to Mary. This means you now owe each of them forty-nine dollars right?

So it does go down.

You then keep $1 for yourself.

But if you add all the money you owe to Josh and Mary (forty-nine x 2) plus your dollar.. it doesn't account for the $100 that you borrowed them in the first place.


« Last Edit: September 04, 2014, 08:45:33 AM by Gracified23 »

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Offline tRouBLe

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Re: Who can solve this?
« Reply #4 on: September 04, 2014, 08:56:31 AM »
You have it.

$48.50 is half of $97 and that's what you would have owed Josh and Mary, if given the exact amount

$50-$48.50=$1.50 difference from what was loaned from each person

$1.50-$1=$0.50 due to each person

$48.50+$0.50=$49 total due to each person since $1 was already repaid




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JustMe

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Re: Who can solve this?
« Reply #5 on: September 04, 2014, 09:11:51 AM »
Easy.. you actually borrowed $101 dollars total from both of them when you took the dollar.  $101/2 = $50.50; You gave them $1 back each so you owe them $49.50. $49.50 x 2 = $99 plus the dollar you borrowed = $100.


« Last Edit: September 04, 2014, 09:15:22 AM by . »

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JustMe

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Re: Who can solve this?
« Reply #6 on: September 04, 2014, 09:13:46 AM »
I just want to say that there are three types of people in this world... those who can count and those who can't.  Lol



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Offline minorcharacter

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Re: Who can solve this?
« Reply #7 on: September 04, 2014, 09:16:39 AM »
Ok, but you borrowed $50 from Josh and Mary in the first place. That's $100.

Tablet goes for $97. So $100-$97 = $3 change.

You then repay $1 to Josh and $1 to Mary. This means you now owe each of them forty-nine dollars right?

So it does go down.

You then keep $1 for yourself.

But if you add all the money you owe to Josh and Mary (forty-nine x 2) plus your dollar.. it doesn't account for the $100 that you borrowed them in the first place.

No.  Adding $49 + $49 simply yields the total amount you still owe Josh and Mary, not the original total amount that Josh and Mary gave you.  You're trying to account for amount you borrowed with the amount you still owe.   

Here, albeit confusing, trouble put it best.
You have it.

$48.50 is half of $97 and that's what you would have owed Josh and Mary, if given the exact amount

$50-$48.50=$1.50 difference from what was loaned from each person

$1.50-$1=$0.50 due to each person

$48.50+$0.50=$49 total due to each person since $1 was already repaid






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Offline AverageTou

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Re: Who can solve this?
« Reply #8 on: September 10, 2014, 04:28:28 PM »
If you saw a tablet that you really like that is on sale for $97 but don't have the money to buy it, you can borrowed the money from Josh and Mary to pay for it. Suppose you take $50 from Josh and $50 from Mary. That's $100 total. You pay the tablet and the cashier give your $3 change back. You decide to keep a dollar for yourself and repay Josh a dollar and Mary a dollar. You now owe Josh and Mary forty-nine buck each. Forty-nine x two = ninety-eight dollars plus the dollar you keep. So that's ninety-nine buck. Where is the other dollar?
This misinterpretat ion problem was explained and understood a long time ago by my 4 yrs old niece (16+ yrs ago at that) using my own version of it... So instead of easily telling/demonstrating my simply yet true/understandable answer to it, I just share with you guys my version of it and you'd find the answer in it because when I presented to her, she figured it out instantly.

"you have two piggy banks, one is for saving and the other for spending.  Now you want to start a new piggy bank for college fund, but it would cost .97 to buy it.  To be equally fair, you borrowed .50 from the piggy saving and .50 from piggy spending to create this piggy college fund (.50 + .50 = $1.00).  So after using .97 to buy the new piggy bank, you are left with .03 (($1.00 - .97 = .03).  With that .03 you have left, you've decided to pay back .01 to piggy saving, .01 to piggy spending and keep the extra .01 for yourself or put it into the piggy college fund that you just created.  Leaving you now owned only .49 to piggy saving and .49 piggy spending which is .98, which mean you are short .01 including the .01 you currently holding because .98 + .01 (current holding) would only make .99, so where/how did that .01 shortage gone to?

If there's still confusion and misinterpretin g the whereabout of .01 gone to or comes from... then I'd reply with the answer next time... until then, read my version attentively and you'll find the answer.




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AT

Offline Hung_Low

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Re: Who can solve this?
« Reply #9 on: January 08, 2016, 08:51:39 PM »
If you saw a tablet that you really like that is on sale for $97 but don't have the money to buy it, you can borrowed the money from Josh and Mary to pay for it. Suppose you take $50 from Josh and $50 from Mary. That's $100 total. You pay the tablet and the cashier give your $3 change back. You decide to keep a dollar for yourself and repay Josh a dollar and Mary a dollar. You now owe Josh and Mary forty-nine buck each. Forty-nine x two = ninety-eight dollars plus the dollar you keep. So that's ninety-nine buck. Where is the other dollar?

This is a riddle with word play.... Let's first rephrase Gracified23 post.. You borrowed $50 from Josh and Mary and paid for the Tablet that's $97. You paid the tablet but got $3 back... you gave $1 each back to Josh and Mary. You kept $1 for yourself.

This is how you account for the money: Since you gave $2 back to Josh and Mary, you actually only borrow $98 from them.

This is what you owe... you owe Josh and Mary $49 each, that equal $98. Since the tablet cost $97 which you paid for but you kept $1. The Tablet plus what you have equal $98,  which is what you owe both Josh and Mary. No money is lost and no extra $1 to talk about.



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