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Mathematics 8 Online
OpenStudy (anonymous):

Question closed

OpenStudy (kinggeorge):

I don't think there's enough information to show anything. All three of them might be lying or telling the truth in any combination.

OpenStudy (anonymous):

Thats all I was given :/

OpenStudy (anonymous):

well, shelly did not accuse susan of leaving the keys there did she, maybe susan did it and directed the blame to samantha.

OpenStudy (anonymous):

Because you are trying to use indirect proofs, you have to assume that Samantha did it and give a logical argument until you reach a contradiction. But, yeah, I agree with @KingGeorge, it seems that it's lacking information.

OpenStudy (anonymous):

This does at some point involve math yes?

OpenStudy (kinggeorge):

You can show that using the same reasoning, the manager could also accuse Shelly, but nowhere can you prove that Samantha did/didn't do it.

OpenStudy (anonymous):

How could I start this?

OpenStudy (anonymous):

Let's assume Samantha did leave the keys in door. Two people said that Samantha did not do it (Shelly and Samantha herself) One person said that Shelly didn't do it (Susan) No person said that Susan didn't do it. Assuming that there all telling the truth, Shelly and Samantha are eliminated as "suspects", leaving Susan.

OpenStudy (anonymous):

Hows that?

OpenStudy (kinggeorge):

If they were all telling the truth, Samantha did it, and Samantha didn't do it. So not everyone is telling the truth.

OpenStudy (anonymous):

I have no idea what to write

OpenStudy (kinggeorge):

My best guess for what you're supposed to say, would be to say that Shelly also denied responsibility, so the manager should also investigate her doings.

OpenStudy (anonymous):

I liked the answer I found here: http://answers.yahoo.com/question/index?qid=20120410151548AAf6MMA :-)

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