Saturday, February 8, 2014

Math POTW #18 - Winter Olympics/Snow Valley Trip!


Congratulations to Jonathan and Rachel for winning a treat for last week's excellent answers.

13 comments:

  1. My sister and I did this together

    Gregory finished 1st and is from Japan

    Adam finished 2nd and is from Canada (woot)

    Paul finished 3rd and is from France.

    Clues:

    1. From this fact, we knew that Gregory would either have to be in 1st or 2nd place and Adam in 2nd or 3rd.
    2. Gregory is did not finish in second place, meaning he is in 1st place. Also, he is not Canadian meaning he is either Japanese or French.
    3. (will be skipped for now)
    4. Adam did not finish in 3rd place, meaning he is in 2nd place. Also, he is not Japanese, so he is either Canadian or French.
    5. (skipped for now)

    To recap:
    Gregory - is in 1st place and is either Japanese or French
    Adam - is in 2nd place and is either Canadian or French
    Paul - is in 3rd place

    Now that we know their places, we need to find out which country each athlete is competing for.

    3 & 5: The Japanese and Canadian athletes are better than the French athlete, meaning the French athlete is obviously 3rd place.

    Since Paul was 3rd, he is the French athlete.

    Now we know Gregory is not French or Canadian, so he is Japanese.
    The remaining country is Canada and the remaining athlete is Adam. So, Adam is the Canadian athlete.

    - Jonathan and Rachel

    ReplyDelete
  2. Gregory got first for Japan
    Adam got second for Canada
    Paul got third for France

    ReplyDelete
  3. Gregory: 1st, Japanese. Adam: Second, Canadian. Paul: Third, French.

    ReplyDelete
  4. Gregory: Japanese, First
    Adam: Canadian, Second
    Paul: French, Third

    ReplyDelete
  5. Sebastian, Tony, Adam, how do you know this? Show at least some of your work!

    ReplyDelete
  6. Gregory>Adam
    Gregory ≠ Canadian and + or - second place
    Because Gregory beat someone ^^ and he was either third or first ^ logic dictates he is first place
    Gregory = Gold medal
    Japanese>French
    Adam not third or first ^^ therefore he is second
    Adam ≠ Japanese
    Canada > French
    French = third ^ + ^^^^
    Adam is Canadian because ^ and ^^^
    Gregory is Japanese (not a very "Japanese" name) ^ and ^^
    By process of elimination: Paul = third and French

    GREGORY, for JAPAN gets the GOLD MEDAL

    ADAM, for CANADA gets the SILVER MEDAL

    PAUL, for FRANCE gets the BRONZE MEDAL

    ReplyDelete
    Replies
    1. Awesome work Max. Very detailed. I like how you used logic to rule out which answers COULDN'T be true.

      Delete
  7. YAY I can go on again!!!! ^^
    This question seemed interesting! Too bad I didn't do it ;__;
    Next we week for sure :D

    ReplyDelete
    Replies
    1. Sorry for not answering in like, 10 weeks?
      I already answered the next POTW, with explanations and everything!!!
      I'm so proud of being the first one to answer XD

      Delete
    2. Great job Emily. No sorries needed! Keep it up!

      Delete
  8. Wow, great work guys and gals. Please be sure to explain HOW you obtained your answers, unlike what I do (see below).

    Gregory competed for Japan and fi nished in first place.
    Adam competed for Canada and finished in second place.
    Paul competed for France and fi nished in third place.

    ReplyDelete
  9. Gregory>Adam
    Gregory ≠ Canadian and + or - second place
    Because Gregory beat someone ^^ and he was either third or first ^ logic dictates he is first place
    Gregory = Gold medal
    Japanese>French
    Adam not third or first ^^ therefore he is second
    Adam ≠ Japanese
    Canada > French
    French = third ^ + ^^^^
    Adam is Canadian because ^ and ^^^
    Gregory is Japanese (not a very "Japanese" name) ^ and ^^
    By process of elimination: Paul = third and French

    GREGORY, for JAPAN gets the GOLD MEDAL

    ADAM, for CANADA gets the SILVER MEDAL

    PAUL, for FRANCE gets the BRONZE MEDAL

    ReplyDelete