The clerk charges them $30for the room

Discussion in 'PHYSICS & MATHEMATICS' started by tazzman, Dec 4, 2012.

  1. tazzman

    tazzman Hobby Grower Mushroom Doctor

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    This one may be to easy, and most have probably seen it before,
    but I have had some fun with it over the years.

    Three mycologist go to rent a motel room for the night. The clerk charges them $30 for the room . The three mycologist decide to split it evenly three ways and each pay $10, and then go up to their room. The manager comes in and the clerk tells him he just rented a room to three people for $30. The manager tells him the room is only $25, and to please take their $5 change up to them. On the way there the man is thinking, "How am I going to split $5 between 3 people evenly? I know! I'll give them each $1 back and keep $2 for myself." So he gives each of the men $1 back, and pockets $2

    So in the end
    The three of them paid $10 each
    They each got $1 back witch means they paid $9 each times 3 = $27
    The clerk kept $2 add that to the $27 witch = $29
    Where did the missing $ go?
     
    Last edited: Dec 5, 2012
  2. Javadog

    Javadog Moderator Moderator Mushroom Doctor Cannabis Doctor

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    I think that I am missing something....once he takes the five $1 bills
    from the till, there are $25 of the mycologists' still in it.

    He gives them back $3, and now there is $28 of their money
    in play, $25 in the till and $3 in their pockets, and the clerk
    stole the other $2.

    JD
     
  3. Jeff

    Jeff Well-Known Member Moderator Mushroom Doctor Supporter

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    The three paid $9.33 each.
     
  4. tazzman

    tazzman Hobby Grower Mushroom Doctor

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    So you were two of the three ahe?


    Can't get nothin by this bunch.

    Simple for some but it dose stump more folks than you would think, especially when
    told aloud.
    I seem to have worded it a little wrong, the trick is to get them doing the wrong
    math at the

    I think it would go more like this

    The three of them paid $10 each
    They each got $1 back witch = $9 times 3 = $27
    The clerk kept $2 add that to the $27 witch = $29
    Where did the missing $ go?
     
    Last edited: Dec 4, 2012
  5. Terry M

    Terry M Member Mushroom Doctor

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    Good problem, Tazz!

    But I think they should be dentists instead of mycologists.
    :hmmm:
     
  6. rogue

    rogue ♥ Hooked on Mycelium ♥ Moderator Mushroom Doctor Supporter

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    Tazz :super:

    Why does this work out like this?
     
  7. Terry M

    Terry M Member Mushroom Doctor

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    Should I give the answer, or should we wait longer?
     
  8. tazzman

    tazzman Hobby Grower Mushroom Doctor

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    Shit why didn't I think of that...> LOL


    It is a word problem and the wording tricks you int doing the math in the wrong order.

    I think JD already gave the spoiler But sure give it to em'
     
  9. Terry M

    Terry M Member Mushroom Doctor

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    I wasn't paying enough attention. I guess JD did give the spoiler. But the problem with the way the puzzle is stated is that addition is being done when subtraction should be.

    Suppose the hotel manager said that it was only $20 for the room instead of $25. The clerk can't give all 3 of them an equal amount of dollars back from the entire $10, so he decides to give them each $3, and pocket the extra buck.

    So here is the original problem, but with the new amounts.

    The three of them paid $10 each
    They each got $3 back which = $7 times 3 = $21
    The clerk kept $1 add that to the $21 which = $22
    Where did the missing $8 go? $8? What the hell?

    The clerk kept $1 add that to the $21 which = $22
    What we should have done is SUBTRACT the $1 to get the amount actually taken in by the hotel, not ADD it. Adding it makes no sense.
    So it should read:
    The clerk kept $1. SUBTRACT that from the $21 which = $20.

    And the 3rd line of the original problem should read:
    The clerk kept $2. Subtract that from the $27 which = $25
     
  10. tazzman

    tazzman Hobby Grower Mushroom Doctor

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    That was a good explanation. I actually never had any one explain it to me
    but here is the way I figured (hashed) it out.


    The wording tricks you when it says so the three paid $10 ea for the room
    when in fact with the rebate they paid $25 for the room so they did not pay $10 ea

    As Terry said Switching of subtraction for addition. Each person paid $9 = $27. The storyteller adds the $2 that the clerk pocketed, but he should have subtracted the $2 to make a total of $25 paid. So 3 × $9 = $27, which accounts for the $25 room and the $2 given to the bellhop.
     
  11. tazzman

    tazzman Hobby Grower Mushroom Doctor

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    Simple and confusing.
    I challenge you to ask 8 people this one
    and see if any get it, Give them a week or just tell them you know
    but will never tell.
     
  12. rogue

    rogue ♥ Hooked on Mycelium ♥ Moderator Mushroom Doctor Supporter

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    Thank you again Terry. Jeff messed me up with his 'The three paid $9.33 each." :grrr::facepalm:

    I am easily confused these days and I fear it is only going to get worse as time passes. Thank you all for getting my brain thinking again.


    I'm not a complete looser. I'm the only one on our lane that was able to save the road from the flood that threatened to wash it away the other day. :hehehe:
     
  13. Javadog

    Javadog Moderator Moderator Mushroom Doctor Cannabis Doctor

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    Common sense never goes out of style!