[wolfgang]

John had 5 Oranges, and Peter had 3 oranges.

They preesd them and made an orange juice,then they diluted it with 1/3 liter soda water.

Paul joined them and wanted to drink from this juice also,and to pay for it.

They devided the whole quantity into 3 equall parts, each one of them drunk his part of juice.

Paul paid them 8 $,and went away.

How can you devide the money FAIRLY between John and Peter? give your reason.

[Guest]

if we're not worried about who paid for the soda water......they each get a dollar an orange

[Anon26]

It is:

7$ to John

1$ to Peter

EXplanation:

Divide juice from a orange into three parts.

So John have 15 unit juice

Peter have 9 unit juice.

Total juice = 24 units

Each drink equally hence they drink = 8 units

Now John have 15 units, while he drank 8 units.

Hence 7 units juice from his were drank by either Peter or Paul.

Peter have 9 units, he drank 8 units,

Hence only 1 unit juice of his were wither drank by John or Paul.

[dark_magician_92]

John had 5 Oranges, and Peter had 3 oranges.

They preesd them and made an orange juice,then they diluted it with 1/3 liter soda water.

Paul joined them and wanted to drink from this juice also,and to pay for it.

They devided the whole quantity into 3 equall parts, each one of them drunk his part of juice.

Paul paid them 8 $,and went away.

How can you devide the money FAIRLY between John and Peter? give your reason.

if we dont consider that dilute part,

then 8 oranges divided into 3 people,

friend = 2.666

peter, john = 2.66

hence john loses 5-2.66 = 7/3 oranges,

peter loses 3-2.66 = 1/3 oranges

hence john deserves 7 times more money, so john gets 7$ and peter gets 1$

[k-man]

John gets $7 and Peter gets $1

Here is why...

Paul paid $8 as his fair share. This means that the total value of the drink is $24. Since we are told nothing about where the soda water came from we can assume it was free. So, the 8 oranges that John and Paul contributed make up the value of the juice, hence each orange is worth $3. John contributed 5 oranges valued at $15 and Peter contributed 3 oranges valued at $9. For everyone's share to be equal to $8 John should get $7 back and Peter $1.

[Guest]

John gets $7 and Peter gets $1.

Since Paul paid $8 for the 1/3 of the juice, the orange juice should be worth $24. 8x3=24.

John had 5 oranges, therefore 5/8 x 24=15.

Peter had 3 oranges, therefore 3/8 x24 =9.

Both John and Peter drank 8 dollars worth of juice therefore;

John 15-8=7

Peter 9-8=1[/spoiler

[Guest]

I may be wrong but I see a problem with the answers above

The 7 dollar to 1 dollar answer is based on the assumption that all oranges produced the same amount of juice. The problem does not state this. What if John has 5 small oranges and Peter had 3 large oranges, and peters oranges produce more juice or an equal amount of juice. Then it is not fair for john to get more money if Peter contributed more juice the problem says to find a fair split. So, the way I see it is to put a price on the oranges like the grocery store does it since the problem does not put a weight on the oranges the only thing I can think of is to set a dollar amount on the oranges(I.E One dollar)

But I have not done many of these problems so I could be wrong.

[Peekay]

8 oranges divided into 3 parts = 8/3 each (I am discounting the soda)

John contributed 5 oranges but consumed 8/3 of it, so his net contribution is (5 - 8/3 = 7/3)

Peter contributed 3 oranges but consumed 8/3 of it, so his net contribution is (3 - 8/3 = 1/3)

Paul consumed the net contribution from John and Peter : 7/3 + 1/3 = 8/3

So, the money paid by Paul should be divided in the ratio of 7/3:1/3 or 7:1. John gets $7, Peter gets $1.

[Guest]

8 dollars for a glass of juice? They should be arrested for highway robbery. Speaking of robbery, they probably stole the oranges and soda water as well. Pay the 8 dollars all to the court for fees for their arrests.

[Guest]

I agree with Nana! Give the cash to farmer John, that's probably who they ripped off!

[Guest]

I agree with Nana! Give the cash to farmer John, that's probably who they ripped off!

With the distribution made based Paul having paid his proper share, if Paul paid too much then the ones being "ripped off" were Peter and Paul IF we assume the value of the oranges were less than $3 each. Around here some really nice big oranges purchased seperately can go for $1 each - yes, still ouch. Another factor not being counted in is -- if they did not get the soda water for free, as you suggest -- did John and Peter own equal shares? Or is the cost (at prices here) of about $0.33 worth of water considered neglegible?

ASSUMING Paul did pay too much by tripple, then John and Pater only had $8 (plus water) invested to begin with. In that SCENARIO, each glass was only worth $8 * 0.3333 or $2.66 each. $8 minus the coust to make Paul's glass (mfg cost) of $2.66 leaves $5.34 for John and Peter to split up. Buth each drank half or $2.666666 worth. John owned 5/8th and Peter 3/8th or roughly $3.333 and $2 respectively. By that count, Peter drank only $0.66 more than his share and owes John that at cost. As for what Paul purchased, by using the 5/8 to 3/8 ratio for both costs and profits they divide the $8 at $5 to John and $3 to Peter. Out of Peter's share with profits, he pais not the retail but mfg difference of 66 cents. This leaves Peter with $2.34 and gives John $5.66.

BUT THE ANSWER is that the original problem did not give us enough information. We had to assume too much. Like the value of the oranges, the eater, AND the LABOR. Did each squeze his own oranges or did they save time and both did four? What is their time worth? If you are not going to count the water you could just a** easily give Peter a boost John could say, Hey, with Paul paying the costs let's just divide the rest of the juce equally since relatively speaking it is free. $5 for me $3 to you, pal Pete.

[Guest]

SORRY EDIT TIMES OUT: If the distribution made to John and Peter is based on Paul having paid his proper share at cost, But then if Paul actually paid too much-- in that case, the ones being "ripped off" were Peter and Paul. This is because: IF we assume the value of the oranges were less than $3 each, then we must also assuem that Paul paid a retail mark up. (And so did Peter if he only got back $1)

Around here some really nice big oranges purchased seperately can go for $1 each - yes, still ouch. Another factor not being counted in is -- if they did not get the soda water for free, as you suggest -- did John and Peter own equal shares? Or is the cost (at prices here) of about $0.33 worth of water considered neglegible?

ASSUMING Paul did pay too much by tripple over cost, then John and Pater only had $8 (plus water) invested to begin with. In that SCENARIO, each glass was only worth $8 times 0.3333 or $2.66 each. $8 minus the coust to make Paul's glass (mfg cost) of $2.66, this leaves $5.34 for John and Peter to split up. But, each drank half or $2.666666 worth. John owned 5/8th and Peter 3/8th or roughly $3.333 and $2 respectively. By that count, Peter drank only $0.66 more than his share and owes John that at cost. As for what Paul purchased, by using the 5/8 to 3/8 ratio for both costs and profits they divide the $8 at $5 to John and $3 to Peter. Out of Peter's share including profits, he pays not the retail, but mfg difference of 66 cents. This leaves Peter with $2.34 and gives John $5.66; which is the $8 Paul paid.

BUT THE REAL ANSWER is that the original problem did not give us enough information. We had to assume too much. Like the value of the oranges, the soda water, AND the LABOR. Did each squeze his own oranges or did they save time by both squeezing four? What is their time worth? If you are not going to count the water you could just aa easily give Peter a boost of friendshio and John could say, Hey, with Paul paying the costs let's just divide the rest of the juce equally since relatively speaking it is free. $5 for me $3 to you, old pal Pete. In this way, Peter and John both get their original investment back and they drank the profits.

Edited July 22, 2011 by Magi-Ken

[wolfgang]

It is:

7$ to John

1$ to Peter

EXplanation:

Divide juice from a orange into three parts.

So John have 15 unit juice

Peter have 9 unit juice.

Total juice = 24 units

Each drink equally hence they drink = 8 units

Now John have 15 units, while he drank 8 units.

Hence 7 units juice from his were drank by either Peter or Paul.

Peter have 9 units, he drank 8 units,

Hence only 1 unit juice of his were wither drank by John or Paul.

Great!!!

[bhramarraj]

It is not fair to punish anybody without listening his part of story....! See that John and peter did not demand $8 for the juice, it was Paul who voluntarily paid this much amount and went away. May be he never drank such a nice juice, or may be it saved his life or may be for him there was no value of Dollar............OR may be he had robbed bank.....?