🚀 go-pugleaf

I have rechecked my work, and found it correct according to the 
statement of the problem as I understand it.
 The nth son in turn gets a fixed amount, $1000*n,  plus a fixed share, 
1/7, of what is left after his elder brother's shares and his own fixed 
amount have been subtracted from the original estate.  This is supposed 
to give each son the same dollar amount. 

Mr/Miz carbonbasetwo's solution does not follow these rules, his eldest 
son does not get his $1000 first and then his 1/7, he only gets a 1/7 
share.

If you start with 36 in thousands of dollars:
The first son gets 1 plus 1/7 of what is left after paying the 1.
   This is 1 + (36 - 1)/7 = 1 + 5 = 6 leaving 30.
The second son gets 2 plus 1/7 of what is left after paying the 2.
    This is 2 + (30-3)/7 = 6 leaving 24.
The third son gets 3 + (30 - 3)/7 = 2 + 4 = 6 leaving 18.
The fourth son gets 4 + (18-4)/7 = 6 leaving 12.
The fifth son  gets 5 + (12-5)/7 = 6 leaving 6.
The sixth son gets 6 + (6-6)/7 = 6 leaving 0.
As you can see, each son gets 6 in thousands of dollars.


But if you start with 42 in thousands of dollars:
The first son gets 1 plus 1/7 of what is left after paying the 1 k$
   This is 1 + (42 - 1)/7 = 1 + 41/7 = 6+6/7 leaving 35+1/7.
The second son gets 2 + (35 1/7 -2)/7 = 2+34/49 leaving 32+22/49.

Note that even the first two sons get different amounts. Thus this 
cannot be a solution with all sons getting equal amounts. Furthermore, 
the amount left goes form positive to negative without ever being zero.



In article <uX$ifoqm$GA.60@cpmsnbbsa05>, "carbonbasetwo" 
<carbonbasetwo@email.msn.com> wrote:

>IT SURE WILL.... YOU BETTER CHECK YOU CALCULATION
>
>
>42,000/6 = $7000   Sounds like an equal share to me...
>
>Your calc is wrong... here is the correct way to calc son one....
>
>1000+1/7x = 2000+1/7y
>
>Then find for quantity in terms of x.
>
>
>Then you will get the answer.... I will send more after your response.]
>
>Anthony
>
>
>
>Virgil <vmhjr@frii.com> wrote in message
>news:vmhjr-76DBF2.17222428032000@news.frii.com...
>> In article <OCKfvROm$GA.225@cpmsnbbsa03>, "carbonbasetwo"
>> <carbonbasetwo@email.msn.com> wrote:
>>
>> >$42000
>> >
>> >6 sons
>> >  Kevin Rowe <kevin.rowe2@tesco.net> wrote in message
>> >  news:8blr4e$lhq$1@barcode.tesco.net...
>> >  When an old man dies, his sons gather at the lawyers office to hear 
>> >  his
>> >  will read out.
>> >
>> >  The 1st son was given 1000 + 1/7 of what was left. The second son was
>> >  given 2000 + 1/7 of what was left. The 3rd son was given 3000+ 1/7 of
>> >  what was left. and so on.
>> >
>> >  They all recieved the same amount of money.
>> >
>> >
>> >  How much money was there in total?
>> >
>> >  How many sons were there?
>> >
>> >
>> >  Good luck
>> >   kev@tokenmusic.co.uk

-- 
Virgil
vmhjr@frii.com