Results 1 to 3 of 3

Math Help - Algebra and fractions

  1. #1
    Junior Member
    Joined
    Sep 2010
    Posts
    36

    Algebra and fractions

    Hi all, I came across this problem and its solution:

    There are 5 people A-E. They have alot of oranges. First, A takes 1 orange from the basket, and 1/5 of the remaining. Next, B takes 1 orange, and 1/5 of the remainder again. And So on. What is the least number of oranges that they have?

    Basically the solution is 5^5-4.

    I came up with a general case whereby

    There are n people. They have alot of oranges. First, A takes 1 orange from the basket, and 1/n of the remaining. Next, B takes 1 orange, and 1/n of the remainder again. And So on. What is the least number of oranges that they have?

    And the solution should be n^n - (n-1)

    I understand the n^n but as for the n-1, I couldn't figure out the logic in it. Could anyone help me with this?

    (My apologies if this thread is in the wrong topic)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    May 2012
    From
    WA
    Posts
    20

    Re: Algebra and fractions

    i'm thinking on this...i'm new here so i don't quite know how to come back to your problem, but maybe i can trace it through this response. sorry i don't know what to tell you right now!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Dec 2007
    From
    Ottawa, Canada
    Posts
    3,166
    Thanks
    71

    Re: Algebra and fractions

    What? No monkey to give an orange to?

    Go here: The On-Line Encyclopedia of Integer Sequences™ (OEIS™)
    enter sequence A006091

    IF you can call this a "looper formula":
    x = n^n - n + 1
    DOWHILE (x-1) / n = INTEGER
    x = x-1 : x = x - x/n

    For similar problems, google "monkey and coconuts"
    Last edited by Wilmer; May 19th 2012 at 09:36 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fractions and algebra
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 16th 2011, 09:34 AM
  2. Algebra -w. Fractions
    Posted in the Algebra Forum
    Replies: 5
    Last Post: March 31st 2010, 07:23 PM
  3. Algebra Equation with Fractions... Help!
    Posted in the Algebra Forum
    Replies: 8
    Last Post: February 20th 2010, 11:05 AM
  4. Algebra + fractions
    Posted in the Algebra Forum
    Replies: 5
    Last Post: March 25th 2009, 05:43 AM
  5. Algebra fractions
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 16th 2007, 09:24 PM

Search Tags


/mathhelpforum @mathhelpforum