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Logic Puzzle # 41 Logic Problems Help



Logic Problem Solution:
New Previously-Owned Videos

From the introduction, each previously-owned 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 previously-owned 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




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