Thursday, December 4, 2014

POTW #12 - Elf Race




Below is the solution for last week's Gauss Math Problem of the Week (#11). It was a TRICKY one!



Below is the Math POTW #12! Good luck!

15 comments:

  1. For the perplexor is got

    Theodore works in toys and came first in the race
    Judy works in reindeer care and came in second
    Charlie works in wrapping and bow department and came in third place

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  2. Judy was faster than Charlie: This tells us July can't be last and Charlie can't be first
    Charlie cannot care for the reindeer since he is allergic to them and he did not finish before Theodore: This tells us Charlie doesn't work in the reindeer care department and got second last in the race.
    The elf who builds toys was faster than the elf who works in wrapping:
    Judy does not build toys and Theodore does not make bows or wrap gifts: Using the previous hint we know that Theodore makes toys because only him and Charlie can make toys and Charlie is already last place. Now we also know that Judy works for the reindeer care department because Charlie can't be so he is in the wrapping and bows department.
    The elf who came in first does not work with the reindeer: Finally, this tells us Judy is second and Theodore came in first because Judy works for the reindeer department.

    In conclusion: Theodore came in first place working with toys, Judy came in second working with reindeers and Charlie came in last/third place working with wrapping and bows.

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  3. Based on the first clue, I know that Judy came in either 1st or 2nd because there was for sure Charlie placed behind her, so she couldn't have been 3rd place.
    2. Charlie is either in the toy building or wrapping and bows department. Charlie came in last, as he was not faster then Theodore or Judy
    3. This clue tells me that Charlie worked in the wrapping and bows department
    4. Judy works in the Reindeer Care department and Theodore is in the Toy Building department
    5. Judy came in second and Theodore came in first
    Result:
    Judy came in second place and works in the Reindeer Care department.
    Charlie came in third and works in the Wrapping & Bows department.
    Theodore came in first and is in the Toy Building department.

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  4. Theodore got 1st place and works in the Toy Building Department
    Judy got 2nd place and works in the Reindeer Care Department
    Charlie got 3rd and works in the Wrapping & Bow Department

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  5. I don't even know how I solved this but:

    3rd place is Charlie
    2nd place is Judy
    1st place is Theodore

    Toy Building Department is Theodore
    Reindeer Care Department is Judy
    Wrapping & Bow Department is Charlie

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  6. Theodore 1st, judy 2nd, Charlie 3rd

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  7. #1: Theodore-Toy building
    #2: Judy-Reindeer Care
    #3: Charlie-Bows & Wrapping

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  8. #1: Theodore-Toy building
    #2: Judy-Reindeer Care
    #3: Charlie-Bows & Wrapping

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  9. C=Charlie, T=Theodore, J= Judy
    Based on the first 2 clues, i could tell that because C was slower than J, and came after T, that C came in last. Next, because it says that the elf who did toy making was faster than the gift wrapper, it means C is either gift wrapper or reindeer care, but hes allergic to reindeer meaning he wraps gifts. Then it says that the reindeer care did not come first, and because J didnt make toys, and since C already took gift wrapper, it means that J was the reindeer care as well as 2nd place. Finally it's just fill in the blanks, sine no other places or jobs are open, T is 1rst place, as well as the toy maker
    C=3rd place, Gift Wrapper
    J=2nd place, Reindeer Care
    T=1st place, Toy Maker

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  10. 1. Theodore - Toy building
    2. Judy - Care
    3.Charlie - Bows
    I used the process of elimination & and all the clues match in the end
    - Kajana

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  11. Wow! Lots of strong answers this week! I like how students solved this in a variety of different ways as well.
    Answer below:
    Theodore works in the Toy Building department and finished in first;
    Judy works in the Reindeer Care department and finished in second; and
    Charlie works in the Wrapping and Bows department and finished in third.

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  12. Theodore Came in first and works in the Toy Building department
    Judy finished second and works in the Reindeer Care department
    Charlie finished third and works in the Wrapping and Bows department
    using the clues, I was able to eliminate possibilities till I reached a conclusion

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  13. Gold Medal: Theodore in the Toys Department
    Silver Medal: Judy in the Reindeer Department
    And last but least the bronze medal goes to...
    Charlie in the Bows and Wrapping Department!
    And thats it folks!
    The elf games are over and its time to head home.

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  14. Clue 1 tells us that Charlie can’t be first place.

    Clue 2 says Charlie finished after theodore as well meaning he/she finished last, and we know he doesn’t work with reindeers (An elf allergic to reindeers?! He better look out for himsELF)

    Clue 3 tells us the toy making elf was faster than somebody meaning it wasn’t Charlie, and because Charlie can’t do reindeer care either he has to be the wrapper.

    Clue 4 tells us Judy does not build toys, meaning she takes care of reindeers and Theodore has to make toys.

    Clue 5 tells us that The reindeer caretaker did not come in first, meaning Judy came second and Theodore first.

    Final Results:
    Theodore Roosevelf came in first. Makes Toys
    Judge Judy made second. Takes care of reindeers
    Charlie Sheen finished the race behind 2 and a half men. Wraps stuff.

    (WAIT, if there were no ties, then why is there a bow department? God, Charlie is useless)

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