Logic Problem Solution:
New PreviouslyOwned Videos
From the introduction, each previouslyowned video cost a different
amount to purchase. By clue 5, the four films cost Mr. Ebert a total
of $20.00, with the most expensive selling for $8.00. Neither The
Neverending Story (1) nor The Princess Bride (4) sold for
the high of $8.00. If Goonies had cost $8.00, by clue 3, Alexis
would have spent $4.00, the least any video would have cost. Then
the two videos together would have cost $12.00, leaving a total of
$8.00 to be spent on the other two (5). However, since no two videos
cost the same, one of the remaining movies would have had to sell for
more than $4.00 and the other for less. So, if Goonies were
the most expensive video, Alexis couldn't have spent the least,
contradicting clue 3. Big cost $8.00 to buy. Big wasn't
Sean's (2) or Alexis' (3) choice. If Chad had bought Big for
$8.00, The Neverending Story would have cost $6.00 (1). Then
the remaining $6.00 would have been split $5.00 on Goonies and
$1.00 on Alexis' choice (3). However, given amounts spent of $8.00,
$6.00, $5.00, and $1.00, there is no way for clue 4 to work. Therefore,
Darla bought Big for $8.00. The Princess Bride cost Mr.
Ebert $4.00 (4). By clue 3, Alexis didn't pick Goonies; nor did
she buy The Princess Bride, or Goonies also would have
sold for $8.00. Alexis chose The Neverending Story. Since
Goonies and Alexis' video cost $8.00 between them (5), by clue 3,
Goonies cost $6.00 and The Neverending Story $2.00. Chad
picked The Princess Bride (1). Sean chose Goonies. The
four new previouslyowned videos were purchased by the Ebert children
as follows:
 Darla, Big, $8.00
 Sean, Goonies, $6.00
 Chad, The Princess Bride, $4.00
 Alexis, The Neverending Story, $2.00


