Posers and Puzzles

Posers and Puzzles

  1. Joined
    08 Dec '03
    Moves
    3140
    03 Jun '04 01:55
    At the local recycling plant they are very good about using up every bit of scrap. From every seven bottles they can make one new one. How many new bottles can they make after recycling 221 bottles?

    -Ray.
  2. New Jersey
    Joined
    07 Jul '03
    Moves
    1546
    03 Jun '04 02:29
    I believe the answer is 36. This is disturbing, because if the answer is not 42, you are asking the wrong question.

    221 = 31 x 7 + 4 : make 31 new bottles, with 4 left over

    31 + 4 = 5 x 7 : use those 31 and the leftover 4 to make 5 new bottles

    you are now down to 5 bottles, so you can't make any more

    this is assuming they get the bottles they make back after they are used
  3. DonationAcolyte
    Now With Added BA
    Loughborough
    Joined
    04 Jul '02
    Moves
    3790
    03 Jun '04 11:30
    How many bottles can you make from n bottles?
  4. Joined
    08 Dec '03
    Moves
    3140
    04 Jun '04 00:45
    They can make 36 recycled bottles. The make 31 the first time, with 4 left over. The 31 can be turned into 4, with 3 left over, and those 7 can be made into 1 more, for a total of 36 bottles.

    -Ray.
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