mental challenge
- Thread starter bunsen burner
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- Mar 16, 2002
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This is a bit over my head but if Paul has 13 dogs + a skate board ($4) = $134 and gives his skateboard to Ross $134- $4 = $130
And Ross has 12 dogs + a $6 dollar flea circus = $126 and is given a skateboard valued at $4. So that would be $126 + $4 = $130.
Skateboard = $4.
grimlock
Hall of Famer
Look at it this way. They sold 25 dogs = $250 and a flea circus is worth a total of $6 so the total amount involved is $256.
So to make this equal, each person should receive $128. Since you can't split dogs, Paul ends up with $130 and Ross $126. Now to make the deal equal, Paul has to give Ross something worth $2, which is what the skateboard is worth.
In summary
Paul: 13 dogs ($130) - 1 skateboard ($2) = $128
Ross: 12 dogs ($130) + 1 flea circus ($6) + 1 skateboard ($2) = $128.
Your logic is incorrect because it assumes the skateboard is shared originally among the two guys.
i have worked out a sort of vague proof for this.
take any number, ending with 4 and multiply by itself
i have tried to do the multiplication, but spread the digits so you can see what i did. this is a 2 digit number i am multiplying, first number n, second number 4.
.............n.....4
x...........n.....4
____________
0........4n+1..6
n^2....4n......0 +
____________
n^2...8n+1...6.
so you can see, that any number ending with 4, when squared, will always end with a 6 and an odd number before that. the same sort of proof could be done for numbers ending with 5,6,7,8 as well
take any number, ending with 4 and multiply by itself
i have tried to do the multiplication, but spread the digits so you can see what i did. this is a 2 digit number i am multiplying, first number n, second number 4.
.............n.....4
x...........n.....4
____________
0........4n+1..6
n^2....4n......0 +
____________
n^2...8n+1...6.
so you can see, that any number ending with 4, when squared, will always end with a 6 and an odd number before that. the same sort of proof could be done for numbers ending with 5,6,7,8 as well
- Mar 16, 2002
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Why do each persons have to recieve $ 128??? Why can't they recieve $130 each.
The Question Is how much the skate board is worth right. You say that it is worth $2. That means that before paul gives up the Skateboard he has goods to the Value of $132. You are not taking in account what the Skateboards is valued at.
Even After Paul has given up his skateboard he has 13 dogs valued at $130. Not $128.
So Ross has to be compensated. So his goods also values $130. $126 + $4 = $130.
$4 Must be the answer.
grimlock
Hall of Famer
Yes, but what about all the other goods that Paul owns, or for that matter Ross owns? It doesn't matter because they don't share those goods. Each person has to receive $128 because the total value of the dogs and the flea circus is $256. That was bought from the cats they shared.
Think about it in pure dollar terms. They have $256 to split between the two of them. So forget about dogs, cats etc. lets talk money. 25 $10 notes, 1 $5 note and a $1 coin. So Paul takes 13 $10 notes and Ross takes 12 $10 notes, 1 $5 note and a $1 coin. Now what does Paul have to give to Ross to make the split equal? He has to give $2 back to Ross. If Paul had say $100 in his wallet, he shouldn't have to split that with Ross as well, because it was his originally and not shared among the two of them.
Another way to look at it, each guy is supposed to get $128, Paul gets paid $130 and has to give $2 change back into the shared pool. Then Ross will get paid the $120 +$6 + 2 = $128
Think about it in pure dollar terms. They have $256 to split between the two of them. So forget about dogs, cats etc. lets talk money. 25 $10 notes, 1 $5 note and a $1 coin. So Paul takes 13 $10 notes and Ross takes 12 $10 notes, 1 $5 note and a $1 coin. Now what does Paul have to give to Ross to make the split equal? He has to give $2 back to Ross. If Paul had say $100 in his wallet, he shouldn't have to split that with Ross as well, because it was his originally and not shared among the two of them.
Another way to look at it, each guy is supposed to get $128, Paul gets paid $130 and has to give $2 change back into the shared pool. Then Ross will get paid the $120 +$6 + 2 = $128
bulkskinnydude
Debutant
could'nt b bothered reading it sorry
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- #35
$2
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- #37
Nup, not yet. I actually got this sent to me by Residex.com. They have a monthly newsletter which has a mental challenge every month. And, as you've probably guessed, they don't give the answer until the next newsletter.
We'll have to wait a bit for the answer. I'll post the next mental challenge along with the answer to this one.
We'll have to wait a bit for the answer. I'll post the next mental challenge along with the answer to this one.
BB, can i ask what is your association with this pest control company that is based out of the USA? seems a very strange website to become a member of, but you have stumbled across what is obviously a fine newsletter they have.
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maybe an .au on the end. Real estate, not pest control!
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nup. As soon as it comes, I'll post the next challenge up along with the answer for this one.
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Don't ask me why the word challenge is red text. As a mental challenge it has me stumped.
- Nov 17, 2000
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"a skate board ($4)" as in italics above does not form part of the equity being divided between the two, so should not be in the formula.
Once removed there is a $4 imbalance. To correct the imbalance two dollars of value has to be shifted ie ones final equity israised by two dollars by gaining a skateboard whilst the others drops by two dollars due to losing the skateboard that was his 100% property before the deal.
