| By clue 3, the girl who likes Gwen Stefani has the locker between those of
Emily and the Richards girl; and by clue 5, the cheerleader who is the Chris
Brown fan has the locker between those of Tess and the Perez girl. If the
cheerleaders who like Gwen Stefani and Chris Brown had adjoining lockers,
the girl with the Chris Brown photo in her locker would have to be Emily,
which she isn't (clue 8), or the girl with the Chris Brown photo would have to be
Miss Richards, which she also isn't (9). So, the cheerleaders who like Gwen
Stefani and Chris Brown don't have lockers next to each other. If the
cheerleaders who like Gwen Stefani and Chris Brown were to have lockers with
one locker between them, then Emily in clue 3 would have to be the Perez girl
in clue 5--no (8); or Miss Richards in clue 3 would have to be Tess in clue
5--no also (13). Therefore, since the two who like Gwen Stefani and Chris
Brown don't have end lockers (3,5), their lockers must have two other lockers
between them; the cheerleaders who like Gwen Stefani and Chris Brown have
locker #2 and locker #5 or vice versa. In either case, we can continue
solving with the girls who like Gwen Stefani and Chris Brown having the
two first inside lockers as relative positions. By clue 3, then, either
Emily or the Richards girl must have locker #1 or #6; by clue 4, Miss Richards
has the end locker next to that of the girl who is a Gwen Stefani fan, and
Emily has the locker next to Gwen Stefani fan's on the inside of the row.
Similarly, since Miss Perez doesn't have an end locker (12), in clue 5, Tess
has the end locker next to that of the Chris Brown fan, with the Perez
girl's locker then next to Chris Brown fan's locker to the inside of the row.
The Perez girl thus has her locker next to Emily. By clue 7, the
cheerleader who likes Alicia Keys has one of the lockers between those of the
girls who like Gwen Stefani and Chris Brown. If the Alicia Keys fan were
Emily, the Gwen Stefani fan would have to be Miss Johnson (7), which she
is not (10). So, the girl who likes Alicia Keys is Miss Perez; and by clue 7,
Grace is the Chris Brown fan and Emily the Johnson girl. By clue 11, Julia
must be Alicia Keys fan Perez, Kelly Clarkson must be Emily Johnson's
favorite artist, and Chris Brown fan Grace is the Goldman girl. Justin
Timberlake is Tess's favorite singer (9). By elimination, Miss Richards has
an Usher poster in her locker. Miss Richards is Hannah (1), and Kerrie is the
Gwen Stefani fan. By clue 6, Kerrie is the Wilkins girl and Tess Miss Marino.
Since Gwen Stefani fan Kerrie Wilkins doesn't have locker #5 (2), she must have
#2. Then Hannah Richards has locker #1, Emily Johnson #3, Julia Perez
#4, Grace Goldman #5, and Tess Marino #6. The six cheerleaders have special
lockers outside the Summerset High gym as follows:
- locker #1, Hannah Richards, Usher
- locker #2, Kerrie Wilkins, Gwen Stefani
- locker #3, Emily Johnson, Kelly Clarkson
- locker #4, Julia Perez, Alicia Keys
- locker #5, Grace Goldman, Chris Brown
- locker #6, Tess Marino, Justin Timberlake
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