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# Apples and Monkeys

### #1

Posted 02 October 2007 - 01:36 AM

### #2

Posted 02 October 2007 - 07:25 AM

### #3

Posted 02 October 2007 - 11:59 PM

That's a lot of apples

### #4

Posted 03 October 2007 - 04:10 AM

### #5

Posted 03 October 2007 - 06:03 AM

No. Your answer is the right one.Anyone find a lower one that divides into whole apples?

After a little math, you can show that the final share has to be 1 less than a power of 2.

A simple program to calculate the other shares does not give integral values for 15, 31, 63 or 127,

but does for 255: -> 255 319 399 499 624 ---> 3121.

*Vidi vici veni.*

### #6

Posted 28 February 2008 - 06:30 PM

### #7

Posted 28 February 2008 - 10:10 PM

**The Number is 31 apples**

MONKEY 1 sees 31 apples he eats 1 and distribute 30 into 5 groups of 6 apples hides his 6 apples and leave 24 apples

MONKEY 2 sees 24 apples he eats 4 and distribute 20 into 5 groups of 4 apples hides his 4 apples and leave 16 apples

MONKEY 3 sees 16 apples he eats 1 and distribute 15 into 5 groups of 3 apples hides his 3 apples and leave 12 apples

MONKEY 2 sees 12 apples he eats 2 and distribute 10 into 5 groups of 2 apples hides his 2 apples and leave 10 apples

MONKEY 1 sees 8 apples he eats 3 and distribute 5 into 5 groups pf 1 apple hides his 1 apple and leave 4 apples

I first thought of 26 but mokey 2 would have 20 apples which will be distributed and he would not have any apple to eat

**Edited by mohamdy, 28 February 2008 - 10:11 PM.**

### #8

Posted 28 February 2008 - 10:23 PM

He ate 4 then hid 4.

Thats one gready monkey .

MONKEY 2 sees 24 apples he eats 4 and distribute 20 into 5 groups of 4 apples hides his 4 apples and leave 16 apples

### #9

Posted 29 February 2008 - 09:50 AM

Each monkey ate 1 apple while dividing...you are wrong!!

The Number is 31 apples

MONKEY 1 sees 31 apples he eats 1 and distribute 30 into 5 groups of 6 apples hides his 6 apples and leave 24 apples

MONKEY 2 sees 24 apples he eats 4 and distribute 20 into 5 groups of 4 apples hides his 4 apples and leave 16 apples

MONKEY 3 sees 16 apples he eats 1 and distribute 15 into 5 groups of 3 apples hides his 3 apples and leave 12 apples

MONKEY 2 sees 12 apples he eats 2 and distribute 10 into 5 groups of 2 apples hides his 2 apples and leave 10 apples

MONKEY 1 sees 8 apples he eats 3 and distribute 5 into 5 groups pf 1 apple hides his 1 apple and leave 4 apples

I first thought of 26 but mokey 2 would have 20 apples which will be distributed and he would not have any apple to eat

### #10

Posted 03 March 2008 - 08:45 AM

He Says He finds out that there is an extra, and eats it

he did not say there is 1 extra .

i think here that "there is an extra" means that the extra number is unknown

and "eats it" means he eats this extra

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