🚀 go-pugleaf

Virgil... I ran through your calc....two answers exists to this problem
depending on how it is read.

36000  and

42000

6000  and

7000

Bummer of a question!!!

Anthony

carbonbasetwo <carbonbasetwo@email.msn.com> wrote in message
news:#$QwVG1m$GA.265@cpmsnbbsa05...
> The question is phrased:
>
> 1st son gets 1000 + 1/7 of what is left of entire estate at that moment.
> Then
> 2nd son gets 2000 +1/7 of what is left of entire estate at that moment.
>
> estate = z
> In other words the second son is getting: z-1000+1/7-2000+1/7...
>
> Like this:
>
> 1. 1000+1/7x = 2000+1/7y
> 2. y = x-1/7-1000
>
> New Equation:
>
> 1000+1/7x = 2000+1/7x(x-1/7x-1000)
> 1000+1/7x = 2000+1/7x(6/7x-1000)
> 1000+1/7x = 2000+6/49x-142.86
> 1/7x-6/49x = 2000-142.86-1000
> 1/49x = 857.14
> x = 41999.86 or 42000.0000
>
> Now back in the original equation:
>
> 1st son: 1000+1/7(42000.0000)=1000+6000=7000
>     42000-7000=35000
> 2nd son: 2000+1/7(35000.0000)=2000+5000=7000
>     35000-7000=28000
> 3rd son: 3000+1/7(28000.0000)=3000+4000=7000
>     28000-7000=21000
> 4th son: 4000+1/7(21000.0000)=4000+3000=7000
>     21000-7000=14000
> 5th son: 5000+1/7(14000.0000)=5000+2000=7000
>     14000-7000=7000
> 6th son: 6000+1/7(7000.0000)=6000+1000=7000
>
> NOW NO MONEY IS LEFT.... THIS IS THE PROOF........
>
> Anthony
>
> Virgil <vmhjr@frii.com> wrote in message
> news:vmhjr-5AB1B9.21133230032000@news.frii.com...
> > 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
>
>