5 PIRATES
The Puzzle: 5 pirates of different ages have a treasure of 100 gold coins.
On their ship, they decide to split the coins using this scheme:
The oldest pirate proposes how to share the coins, and all pirates remaining
will vote for or against it.
If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.
Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?
The Solution . . . .
The eldest pirate will propose a 97 : 0 : 1 : 0 : 2 split.
Working backwards, splits in terms of younger to older:
2 Pirates: Pirate Two splits the coins 100 : 0 (giving all to the other pirate). Otherwise, and perhaps even then, Pirate One (the youngest) would vote against him and over he goes!
3 Pirates: Pirate Three splits the coins 0 : 1 : 99. Pirate One (the youngest) is going to vote against him no matter what (see above), but this way, Pirate Two will vote for him, to get at least one gold out of it.
4 Pirates: Pirate Four splits the coins 1 : 2 : 0 : 97. This way, Pirate One will vote for him, and so will Pirate Two - they're getting more than they would under 3 pirates.
5 Pirates: Pirate five splits the coins 2 : 0 : 1: 0 : 97. This way, Pirate One will vote for him, and so will Pirate Three - they're both getting better than they would under 4.
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SOCCER PUZZLE
The Puzzle: There are 7 boys on a soccer team. Each boy has a different position, jersey number, and height. Find out each person's height, position, and number.
* Justin is the goalie
* The right forward is #10
* The goalie is 6' 4''
* Joe is 6' 1''
* Ryan is right forward
* The person next to Ryan is #14
* The person who is 6' 4'' is #16
* #10 is 5' 8''
* The left forward is #15
* Brad is right defense
* Brendan is #20
* Michael is 7' 1''
* Miguel is #6
* Michael is left forward
* #42 is right defense
* Brad is 6' 2''
* #6 is center defense
* #15 is 7' 1''
* #20 is 6' 7''
* Miguel is 5' 10''
* #14 is 6' 1''
* The person who is 6' 7'' is left defense
* Joe is center forward
The Solution . . . .
A Solution has been contributed by "frenchfry23" (a member of the forum) as follows:
Joe: center forward, 6' 1", #14
Justin: goalie, 6' 4", #16
Michael: left forward, 7' 1", #15
Brendan: left defense, 6' 7", #20
Ryan: right forward, 5' 8" , #10
Brad: right defense, 6' 2", #42
Miguel: center defense, 5' 10", #6
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GARDEN PUZZLE
The Puzzle: Five friends have their gardens next to one another, where they grow three kinds of crops: fruits (apple, pear, nut, cherry), vegetables (carrot, parsley, gourd, onion) and flowers (aster, rose, tulip, lily).
1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
4. Only one variety is in 4 gardens.
5. Only in one garden are all 3 kinds of crops.
6. Only in one garden are all 4 varieties of one kind of crops.
7. Pear is only in the two border gardens.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose grower doesn't grow parsley.
11. Nuts grower has also gourd and parsley.
12. In the first garden are apples and cherries.
13. Only in two gardens are cherries.
14. Sam has onions and cherries.
15. Luke grows exactly two kinds of fruit.
16. Tulip is only in two gardens.
17. Apple is in a single garden.
18. Only in one garden next to the Zick's is parsley.
19. Sam's garden is not on the border.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.
Who has which garden and what is grown where?
The Solution . . . .
Hank pear apple cherry rose
Sam cherry onion rose tulip
Paul carrot gourd onion rose
Zick aster rose tulip lily
Luke pear nut gourd parsley
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