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Thread: Math word problem

  1. #1
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    Math word problem

    I am having trouble on setting this problem up.

    You are in a room with two waiters and two glasses: a blue glass and a green glass. One glasshas water and the other glass has poison. One waiter always tells the truth and the other waiteralways tells lies. You ask one of the waiters, “If I asked the other waiter to identify the glasswith poison, what would she say?” The waiter says, “The other waiter would say the green glasshas poison.” Which glass has poison? Prove your answer is correct
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  2. #2
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    Re: Math word problem

    Consider the possible 4 situations. Our variables are what color glass has poison and does our waiter tell the truth or lie.

    suppose BT - the other waiter would lie and say the poison is G, our truth telling waiter tells us this. This is logically consistent.

    BL - the other waiter would say the poison is B. Our lying waiter lies and says that they would say G. This is also logically consistent.

    GT - the other waiter would lie and say blue. Our waiter would tell the truth and say the other waiter would say blue. So our waiter saying the other says green is not consistent.

    GL - the other waiter would say green. Our waiter would lie and say blue. This is also not logically consistent.

    So it's clear the poison must be in the blue glass.
    Thanks from math951 and Vinod
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