Lalph Rauren was famous for discovering potential models as he walked the streets of New York. One day he spotted four girls who later became top models: Amy, Mary, Kay, and Beth. One was discovered walking through an apartment building, one in a coffee shop, one in a shopping mall, and one in the library. You know the following.
a.If Kay was not discovered in the library, then Amy was discovered in the apartment building.
b.Beth was discovered in the library, unless Mary was discovered in the coffee shop.
c.If Amy was discovered in the apartment building, then Mary was discovered in the shopping mall.
d.If Beth was not discovered in the library, then neither was Kay.
If you have enough information from the statements above, match the girl with the location in which she was discovered and explain your reasoning. If you cannot make the match, explain why.
Sue, Bean, James -- please use the same name for your posts here.
ok sorry about that
Let's analyze the given statements one by one:
a. If Kay was not discovered in the library, then Amy was discovered in the apartment building.
This statement suggests that if Kay is not in the library, then Amy must be in the apartment building. Notice that the statement does not specify where Kay was discovered, only that she was not in the library.
b. Beth was discovered in the library unless Mary was discovered in the coffee shop.
According to this statement, if Mary is in the coffee shop, then Beth cannot be in the library. However, if Mary is not in the coffee shop, then Beth must be in the library.
c. If Amy was discovered in the apartment building, then Mary was discovered in the shopping mall.
This statement implies that if Amy is in the apartment building, then Mary must be in the shopping mall. It does not say anything about the other two girls.
d. If Beth was not discovered in the library, then neither was Kay.
This statement states that if Beth is not in the library, then Kay cannot be in the library either. It does not give any information about the other two girls.
Now let's analyze these statements together and see if we can make any matches:
- Let's assume Kay is not in the library.
According to statement a, if Kay is not in the library, then Amy must be in the apartment building.
- This means that Amy cannot be in the coffee shop or shopping mall since Mary is in the shopping mall when Amy is in the apartment building (according to statement c).
- Since Kay is not in the library (according to our initial assumption), Beth cannot be in the library either (according to statement d). Therefore, Beth must be in the coffee shop.
- This leaves Kay to be discovered in the shopping mall and Mary to be discovered in the library. This is the only combination that satisfies all the given statements.
So, based on the given information, we can match the girls with the locations as follows:
- Amy was discovered in the apartment building.
- Beth was discovered in the coffee shop.
- Kay was discovered in the shopping mall.
- Mary was discovered in the library.
This is the only valid match that satisfies all the given statements.