Ann, Bohan, Che, Devi, and Eden each ordered a different meal at a restaurant and asked for their own bill. Although the correct five bills arrived at the table, none of them were given to the correct person. If the following four statements are true, who was given the bill for Bohan's meal?

- Che and Eden ordered meals with the same cost.
- Devi's bill was given to the same person whose bill was given to Devi.
- Ann, Bohan, and Eden were each given a bill for less money than the meal they ordered.
- Ann's bill was given to Che.
Suppose Devi was given the bill for Bohan's meal. From the second bullet point, this would mean that Bohan and Devi were given each other's bills.

This means that Ann's, Che's, and Eden's bills were distributed among each-other in some way. Che was given Ann's bill by the fourth bullet point, so if Ann was given Che's bill, then Eden would have been given her own bill.

Since nobody was given their own bill, Ann must have been given Eden's bill, so the only bill remaining for Eden to have been given is Che's.

Thus, assuming that Devi was given Bohan's bill, we have deduced that Ann was given Eden's bill, Eden was given Che's bill, and Che was given Ann's bill.

By the first bullet point, Che and Eden ordered meals with the same cost.

Since Eden was given Che's bill, the third bullet point is violated.

This means that Devi was not given Bohan's bill.

Because Che was given Ann's bill, Devi was not given Ann's bill.

As well, Devi could not have been given Che's bill because this would imply, by the second bullet point, that Che was given Devi's bill, which would violate the fourth bullet point.

By eliminating all other possibilities, we have deduced that Devi's and Eden's bills were interchanged.

This means that the remaining three bills, belonging to Ann, Bohan, and Che, were distributed among the same three people.

Similar to the reasoning from before, since nobody was given their own bill and Che was given Ann's bill, the only possibility is that Bohan was given Che's bill and Ann was given Bohan's bill.

ANSWER: Ann

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