Hi everybody,
Today we are putting up our third giveaway. You can see the second one here:
Since there was not a winner for the second giveaway the rewards from that contest will carry over to this contest.
Today's contest starts with a story.
Three weary travelers made their way to the town inn after having traveled in the scorching heat for days. Jacob, a tall strapping young man in his twenties, extracted 3 loaves of bread from his rucksack. Joseph, a middle aged peddler, carried 2 loaves of bread among his wares. Their elderly companion Jonathan, eyed their bread hungrily. He had no food with him. Noticing his plight, both men agreed to split the 5 loaves evenly amongst the three of them. After heartily consuming their meal Jonathan rose and said - "My brothers, you have saved my life. I would like to pay you." He drew 5 golden coins from his pocket and placed them on the table. "Split these fairly between you", he said and disappeared.
Jacob and Joseph looked disbelievingly, at the fortune that had just befallen them. "How should we split the 5th coin?" asked Joseph. Assuming that they would each receive exactly half of the reward. There is no need to split the coin" Jacob responded. "I had 3 loaves of bread - so three coins belong to me. You contributed only 2 and you will fairly receive 2 of the gold coins." "I disagree," Joseph countered. "We split the loaves evenly so should we split the money evenly - 50/50".
After arguing for a while, the pair agreed to go to the local judge that who famous for his wisdom.
What did the judge rule?
Here are the rules to enter the giveaway:
- Upvote this post
- Post the answer by commenting.
- The first correct answer will receive 50% of the post's final payout.
- The reward will be paid 7 days later when the post pays out. If there is no winner until July 10 11:59 EST, the rewards will carry over to the next contest.
the question has been answered for 1400 years :p
http://puzzles.nigelcoldwell.co.uk/twentynine.htm
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Mmm, both of them gave Jonathan the same proportion of their bread 0.33 each. So they should split the money evenly 50/50.
EDIT: NO, i was wrong. They have 5 loaves and they were 3. So thats 1.666667 each.
Jacob had 3. So 3-1.666667 = 1.333333. That's he's input.
Joseph had 2. So 2-1.666667= 0.333333. That's he's input.
1.333333+0.333333= 1.666666
So, Jacob propotion is 1.333333/1.666667 = 0.79999964. He should get 3.9999982 coins (0.799999645)
And Joseph's is 0.333333/1.666667 = 0.19999976. He sould get 0.9999988 coins (0.199999765)
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And where should the rest go?
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Thats 5
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3.9999982
+0.9999988
=4.999997 on my calculator
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Use 2 digits and you get 5. The thing is 1/3 is not exactly. 0.33. But thats the answer and the result is 5.
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judges don't work for free?
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As there were 5 loaves of bread, we have 1 and 2/3 (or 5/3) of loaf per person. Jacob and Joseph had got their own parts of loaves back, so Jacob contributed 1 and 1/3 (or 4/3)of loaf and Joseph contributed 1/3 of loaf to Jonathan. In sum, the Jacob's part is 4/3 divided by 5/3 = 80%, which equals 4 coins.
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I believe the judge would say cut it in half. (fun fact in the late BC and early AD if you had a half silver bronze or gold piece you could break it in half to pay the proper price). actually, this corse of action would be common sense at the time. I learned this in my freshman world history. :) there was no need for the judge but since they went to the judge then he could have taken it both are very possible to happen.
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There are many variables in this story that have yet to be mentioned. For example would the judge do work without collecting a fee? It says that the men extracted certain quantities of bread from their rucksacks, but the story never mentioned original ownership rights of the bread. It merely said that two of the individuals were carrying it. Are all five of the golden coins of equal weight and value? Are there relational aspects that we should consider? If we are to ignore all these, and merely go on the basis of contributor ownership then Jacob should receive 4 coins, and Joseph should receive 1 coin.
5 loaves need to be split into 3 pieces each
Therefore= 15 pieces
Jacob's contribution = 9 pieces
Jacob ate = 5 pieces
Jacob gave the group = 4 pieces
Joseph's contribution = 6 pieces
Joseph ate = 5 pieces
Joseph gave the group = 1 piece
Jacob contributed 4 times as much as Joseph, so to be fairly rewarded he should receive 4 times as much of the coins.
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Jacob gets 4, Joseph gets 1.
This is based on Jacob supplying 4/5 of the bread that Jonathon ate. If they each ate 1.6666 loaves of bread that means that Jacob contributed 4/5 of the bread that Jonathon ate and Joseph contributed 1/5. Hence, 4 coins for Jacob, 1 coin for Joseph.
At least that is how my ADHD brain sees it.
:and it was my first guess. Sorry petisoparado and I showed my reasoning
utfull. LOL...fun puzzle emble.
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:) .... Yeah petisoparado did an extensive one :)
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petisoparado did a wrong one... It's not the right answer
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Well ! let us leave the decision for the winner to @emble .. his contest, his decision :)
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Yeah, I will. Just saying it's not 100% right :P
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Why noy?
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Well I don't know, but I guess judge took the 5th coin and kept it to himself as a payment for the work
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:)
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hail Eris. hail discordia.
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Jacob - 4 coins. Since he first divided the bread into three man = 3 coins. And then, when they shared the bread of Joseph and Jacob, again section 3 of the bread of Jacob into three parts each = +1 gold. But Joseph received two loaves 1/3=2/3 and 1/3 of the bread of Jacob, which he gave to Jonathan=+1 gold
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It was just after 1933 so the judge confiscated all the coins for the government
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4 to Jacob and 1 to joseph
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Why?
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each bread was divided into 3 pieces so there was totatl 15 pieces ,
each of them had 5 pieces,
jacobs 3 bread made 9 pieces he ate 5 and gave 4 parts of his food to jonathon
while josephs bread made 6 pices out of which he ate 5 and gave only 1 to jonathon ....
SO 4 to jacob and 1 to joseph :) I posted the reasoning on the first comment but edited the comment a minute later just to show the division (Don't know why :)
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sorry was travelling ... ... Replied thru chat Please check !
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ok, replied.
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Give Joseph and Jacob two gold coins each. Cash in the remaining gold coin for silver coins. Divide the silver coins 50-50 between Joseph & Jacob.
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Jacob 3 coins, Joseph 2 coins. Explanation: Jonathan recieved 1 loaf from Jacob and 2/3 loaf from Joseph, so reward should be distributed in this ration 1 vs 2/3. Its 3/3 vs 2/3 --> 3 vs 2. And we have exactly 5 coins :)
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I have read answers of other peoples (Jacob gets 4 Coins, Joseph gets 1 Coin), but I disagree with them. Coins was Jonathans, he should pay for loaf what he consumed, not pay for loaf what consumed whole group.
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The judge is the same old man, and realizing that the young people fought for the money, it takes away the money.
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They all sacrificed equally based on their capacity. The judge will rule that each should go with two coin, while the state will take over the ownership of the one which is not divisible.
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Came across this post 6 hours late! I did work it out without looking at the replies below - but too late to win - will look out for your next quiz!
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Jacob has 3 and took 1 2/3 himself. He gave 1 1/3.
Joseph has 2 and took 1 2/3 himself. He gave 1/3.
the total given is 1 2/3.
1 1/3 of this 1 2/3 = 4/3 * 3/5 = 12/15 = 4/5
1/3 of this 1 2/3 = 1/3 *3/5 = 3/15 = 1/5
5 Coins in total, so:
Jacob gets 4 Coins.
Joseph gets 1 Coin.
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The judge collect 1coin for his service and Jacob and Joseph collect 2coins each. That's settle there complaint.
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This post has received a 1.40 % upvote from @booster thanks to: @emble.
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Judge should say:
Give Jacob 4 coins against his 80% contribution and
give Joseph 1coin against his 20% contribution to Jonathan.
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