| From the introduction, Miles Stewart bought his daughter Robin and her
four friends each a different Hannah Idaho item for a different price,
with the five items costing him a total of $400. By clue 2, the item
he bought his daughter Robin Stewart cost twice as much as the sweatshirt
he bought another girl; while by clue 5, the item Sarah got cost twice as
much as what the Truscott girl took home. Either four different girls are
named between the two clues, or Sarah got the sweatshirt. If Sarah had
gotten the sweatshirt, by clue 7, Amber would be the Truscott girl or
would be the fourth girl to the three in clues 2 and 5. If Amber were
the Truscott girl, given that Mr. Stewart spent the most, $120 (clue 1),
on his daughter Robin, he would have spent $60 on Sarah's sweatshirt (2),
$30 on the Amber Truscott's item (5), and $10 on the Addison girl's
choice (7)--a total of $220, leaving $180 for the fifth item and a
conflict with clue 1. So, Amber would be the fourth girl. Since the
Addison girl didn't get the sweatshirt, she would be the fifth girl (7).
Either Robin's or Amber's merchandise would have cost the $120 (1).
If Robin's did, Sarah's would have cost $60 (2) and the Truscott girl's
would have cost $30 (5)--a total of $210, leaving $190 for Amber and
the Addison girl, who would have spent $105 and $85 respectively (7).
However, there then is no way for clue 6 to work. If Amber's item had
cost $120 (1) and the Addison girl's $100 (7), leaving $180, Robin's would
have cost approximately $102.84, Sarah's $51.42, and the Truscott girl's
$25.71 (2, 5)--and again clue 6 could not work. So, Sarah did not take
home the Hannah Idaho sweatshirt; and four different girls are named in
clues 2 and 5: Robin Stewart, the girl who took home the sweatshirt, Sarah,
and the Truscott girl. The Addison girl is either Sarah or the fifth
girl to the four named (7). If the Addison girl were the fifth to the four
in clues 2 and 5, Amber would be the one who wanted a sweatshirt or the
Truscott girl. If Amber had gotten the sweatshirt, either Robin's or
Sarah's merchandise would have cost the $120 high (1). If Robin's item
had cost $120, Amber's sweatshirt would have cost $60 (2) and the Addison
girl's gift $40--leaving $180 for Sarah and the Truscott girl. However,
their merchandise would have cost $120 and $60 (5) and contradict the
introduction. If Sarah's merchandise had cost $120, the Truscott girl's
would have cost $60 (5)--leaving $220, which by clues 2 and 7 would make
Robin's gift cost $120, Amber's sweatshirt $60, and the Addison girl's
$40 and again contradicting the introduction. If Amber were the Truscott
girl, either Robin's or Sarah's merchandise would have cost the $120 (1).
If Sarah's item had cost $120, Amber's would have cost $60 (2) and the
Addison girl's gift $40 (7)--leaving $180 for Robin's item and the
sweatshirt. However, those two items would have cost $120 and $60 (5)
and contradict the introduction. If Robin's merchandise had cost $120,
the sweatshirt would have cost $60 (5)--leaving $220, which by clues
5 and 7 would make Sarah's gift cost $120, Amber Truscott's $60, and the
Addison girl's $40 and again contradicting the introduction. Therefore,
the Addison girl in clue 7 isn't the fifth girl to the four in clues
2 and 5; she is Sarah. If Amber had picked the sweatshirt, even if Robin's
gift had cost the most, $120, Amber's sweatshirt would have cost $60 (2),
Sarah Addison's $40 (7), and the Truscott girl's $20 (5)--a total of $240,
with the fifth item then costing $160--no (1). So, Amber is the fifth
girl to the four named. Either Amber's or Robin's merchandise cost the
$120. If Amber's did, Sarah Addison's would have cost $100 (7) and the
Truscott girl's $50 (5)--leaving $130 for the two in clue 2 to have cost
approximately $86.67 and $43.33. But there is again no way for clue 6
to work. So, Robin's item cost $120 and the sweatshirt $60 (2), leaving
$220 for the three in clues 5 and 7 to divide: Amber's item cost $100,
Sarah Addison's cost $80, and the Truscott girl's cost $40. By clues
2 and 6, Amber got a bracelet and Margot is the Truscott girl. Lily took
home a Hannah Idaho sweatshirt. Lily's last name is Martinez and Amber's
is Oken (3). Since the jacket didn't cost the most (1), by clue 4,
Sarah got the jacket and Margot the DVD. Robin Stewart took home the
Hannah Idaho autographed photo. In sum, Miles Stewart bought the five
girls Hannah Idaho merchandise as follows:
- Robin Stewart, autographed photo, $120
- Amber Oken, bracelet, $100
- Sarah Addison, jacket, $80
- Lily Martinez, sweatshirt, $60
- Margot Truscott, DVD, $40
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