Math geeks: Jenga game problem

Discussion in 'Community Discussion' started by moonman239, Apr 25, 2013.

  1. moonman239 macrumors 68000

    Joined:
    Mar 27, 2009
    #1
    Suppose I have 52 Jenga blocks. I stack one block on top of two blocks, then stack two blocks on top of that one block, then stack one block on top of those blocks, then I stack two more blocks on top of those. I keep doing this until I don't have enough blocks to create another story. How many stories tall is my structure?

    Hint: Set up a series.
     
  2. mobilehaathi macrumors G3

    mobilehaathi

    Joined:
    Aug 19, 2008
    Location:
    The Anthropocene
    #2
    34

    Why set up a series?

    You start with two block at the base. Each pair of "floors" consists of three blocks.

    52 / 3 = 17 pairs of floors with 1 block left over

    17*2 = 34 floors

    The 34th floor is a single block, so you can't place the 52nd block on the tower.

    Why do you think this is challenging?
     
  3. johnson102 macrumors newbie

    Joined:
    Nov 12, 2012
    #3
    I'm confused as well. I got 34 straight away then wondered if there was a trick I wasn't seeing, but after rereading the question I can't see any other route on the question to take.
     

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