The Monkey and The Coconut

[Fatalis]

Ten people land on a deserted island. There they find lots of coconuts and a monkey. During their first day they gather coconuts and put them all in a community pile. After working all day they decide to sleep and divide them into ten equal piles the next morning.

That night one castaway wakes up hungry and decides to take his share early. After dividing up the coconuts he finds he is one coconut short of ten equal piles. He also notices the monkey holding one more coconut. So he tries to take the monkey's coconut to have a total evenly divisible by 10. However when he tries to take it the monkey conks him on the head with it and kills him.

Later another castaway wakes up hungry and decides to take his share early. On the way to the coconuts he finds the body of the first castaway, which pleases him because he will now be entitled to 1/9 of the total pile. After dividing them up into nine piles he is again one coconut short and tries to take the monkey's slightly bloodied coconut. The monkey conks the second man on the head and kills him.

One by one each of the remaining castaways goes through the same process, until the 10th person to wake up gets the entire pile for himself. What is the smallest number of possible coconuts in the pile, not counting the monkeys?

Hint

Spoiler : :

Cough Math Cough

[Fatalis]

Spoiler not working

[Yayap]

Spoiler not working

[*spoiler=][/spoiler]

Spoiler : :

without the *

[Fatalis]

Thanks Yayap ^ ^

[Glip]

Ten people land on a deserted island. There they find lots of coconuts and a monkey. During their first day they gather coconuts and put them all in a community pile. After working all day they decide to sleep and divide them into ten equal piles the next morning.

That night one castaway wakes up hungry and decides to take his share early. After dividing up the coconuts he finds he is one coconut short of ten equal piles. He also notices the monkey holding one more coconut. So he tries to take the monkey's coconut to have a total evenly divisible by 10. However when he tries to take it the monkey conks him on the head with it and kills him.

Later another castaway wakes up hungry and decides to take his share early. On the way to the coconuts he finds the body of the first castaway, which pleases him because he will now be entitled to 1/9 of the total pile. After dividing them up into nine piles he is again one coconut short and tries to take the monkey's slightly bloodied coconut. The monkey conks the second man on the head and kills him.

One by one each of the remaining castaways goes through the same process, until the 10th person to wake up gets the entire pile for himself. What is the smallest number of possible coconuts in the pile, not counting the monkeys?

Hint[SPOILER]Cough Math Cough[/SPOILER]

In order to use spoiler correctly, you must type

[spoiler=Insert Spoiler Title]Insert what the spoiler is[/spoiler]

Like this.

Spoiler : Solution :

2519 coconuts, not including the monkey's.

[Fatalis]

In order to use spoiler correctly, you must type

[spoiler=Insert Spoiler Title]Insert what the spoiler is[/spoiler]

Spoiler : Solution :

2519 coconuts, not including the monkey's.

Like this.
Wow.. and less than 15 minutes ( it took me an hour )
Can't tell if google or math genius
Anyway, GJ!

[Yayap]

2519
is your answer

edit: damn... someone beat me to it

[Fatalis]

people got the answer so quickly .. I took an hour using a calculator

Edit= I think I'll posts more soon
I challenge you Glip !

[Yayap]

fastest way to figure it out was start at multiples of 10 and 9 = 90 is the lowest, then move on to multiples of 90 and 8 = 360 is the lowest, then move on to multiples of 360 and 7 = 2520 is the lowest which also turns out to be a multiple of 6, 5, 4, 3, 2 and 1... subtract 1 for the monkey and you have your answer

[Nick]

10 = 5 x 2
9 = 3 x 3
8 = 4 x 2
7
6 = 3 x 2
5
4 = 2 x 2
3
2

Took me awhile. Forgot to remove 3 after choosing 9.

Method: 10 is made of 5 and 2. Remove 10 if you have 5 and 2. 9 is made of 2 3s. You have only 1 3, choose 9 and remove 3.

Total coconut = 2 x 4 x 5 x 7 x 9 = 2520