Question

Nathan, Joshua, Michelle, and Denise were in a room where a porcelain vase was found broken. When an inquiry was conducted by the building caretaker, each made a statement.

Nathan: Joshua broke the vase.
Joshua: Nathan did not do it.
Michelle: Joshua lied when he said Nathan did not do it.
Denise: Joshua did it.

The caretaker knew that only one statement is not true and concluded that Michelle broke the vase.

Describe in complete sentences the method you use to show that the caretaker made an incorrect conclusion.

Answer 1

@ Esyaspi214

Answer 2

lol this is kind'a of a time-keeper and hard for me, but I'm going to call others to help ya, okay dunt worry

Answer 3

thank you so much @Ab590 much appreciated

Answer 4

@BrandonGarza777 @Becki @beccaboo333 @Blakarican @Compassionate @Coolsector @Christos @christianfilms11 @Directrix @dan815 @divagirl421 @Darrius @frogs29 @family107 @Fanduekisses @frogs29 @Easyaspi314 @ehuman @Emily778 @Emoticon @genius12 @Grazes @Gerardie @GodIsMySavior

Answer 5

@SolomonZelman

Answer 6

@Hero @heather040200 @helpme1.2 @Helpmeplease99 @InYourHead @iheartos @Itscaleb @ikstuart

Answer 7

hey

Answer 8

hey could you please help me out :)?

Answer 9

please help @emmarb_she came to this study site for help and I'm sure there are thousands of you that can lend a helping hand!

Answer 10

Nathan did it

Answer 11

"Nathan's and Michelle's statements contradict each other so one of the them must be the liar. Therefore, Joshua is telling the truth. Therefore, Nathan broke the vase.

Answer 12

so it wasnt joshua?

Answer 13

this is what i had

To prove that the caretaker was incorrect, we must you must create an direct proof. We must assume that Michelle did not break the vase. Since there is a false statement, the assumption that Joshua didn't break the vase is false. And if we are assuming this, this also means that the fourth statement that Joshua did it is also false.

Answer 14

anyone?

Answer 15

looking at it now...

Answer 16

thank you

Answer 17

hmm...my best guess is Michelle did it!

Answer 18

im not quite sure because i think im suppose to prove that she didnt because that was the carekeepers guess, but thanks for the guess

Answer 19

to me...well her innocence may not be as clear as the statements would have us believe and its just my opinion though

Answer 20

thank you

Answer 21

@ehuman what are your thoughts?

Answer 22

Nathan's and Michelle's statements contradict each other so one of the them must be the liar. Therefore, Joshua is telling the truth. Therefore, Nathan broke the vase

Answer 23

oops I read that wrong

Answer 24

no problem

Answer 25

yea i was thinking @ehuman what the heck?

Answer 26

@ehuman do you have anythoughts?

Answer 27

1. Nathan: Joshua broke the vase.
2. Joshua: Nathan did not do it.
3. Michelle: Joshua lied when he said Nathan did not do it.
4. Denise: Joshua did it.
statements 1 and 2, and 4 support each other, Michelle lied.

Answer 28

@Gerardie i hadn't notice the obvious your statement made it clear thanks!

Answer 29

Joshua broke the vase otherwise both nathan and denise lied, there is only one liar though.

Answer 30

im sorta confused how would i right it out like in a paragraph form answer? @ehuman

Answer 31

Joshua did not admit to it but he did not lie. Michelle wasn't invited to the museum the next week.

Answer 32

Re read the statements and add some fluff on how the 3 statements support each other leaving Michelle as the lying troublemaker.

Answer 33

The instructions were misleading making you think than the caretaker was incorrect.

Answer 34

dinner time!

Answer 35

@BrandonGarza777 @Becki @beccaboo333 @Blakarican @Compassionate @Coolsector @Christos @christianfilms11 @Directrix @dan815 @divagirl421 @Darrius @frogs29 @family107 @Fanduekisses @frogs29 @Easyaspi314 @ehuman @Emily778 @Emoticon @genius12 @Grazes @Gerardie @GodIsMySavior
anyone please help

Answer 36

@smoothmath

Answer 37

@Easyaspi314 pleaseee help

Answer 38

@emmarb here you go, hope it isn't too late. I was off line eating and doing my chemistry HW.
Condition of exercise limited the number of lies told to one person. Nathan and Denise both claimed that Joshua broke the vase. As these two claimed the same person responsible and there can not be more than one lie, this is sufficient to verify that Joshua broke the vase. Joshua himself, though he did not admit guilt, told the truth when he proclaimed that Nathan did not do it. Michelle's testimony that "Joshua lied when he said Nathan did not do it" is unsupported by any of the three other accounts of the story.