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Logic Puzzle # 72 Logic Problems Help



Logic Problem Solution:
Support Your Local Station

From the introduction, in order to select a PBS video, each of the five donated at least $50 to WSPT; while by clue 10, none of the five gave $200 or more to the station. By clue 6, Peter donated twice as much as Freeman; and by clue 8, Sara gave twice as much as Hill. Four of the five supporters of WSPT are therefore named, since if Peter were Hill or Sara were Freeman, given the $50 minimum gift, between the clues a gift would have been for $200, contradicting clue 10. By clue 3, Teresa's gift was twice as much as that of the person who selected the "Here Come the Teletubbies" video. Teresa can't be Freeman or Hill, or, given the $50 minimum, Peter (3, 6) or Sara (3, 8) would have donated $200 to the PBS affiliate--no (10). So, Teresa is the fifth public television sponsor to the four in clues 6 and 8. By clue 1, two and only two of the callers gave the same amount, $100, to WSPT. Neither Freeman nor Hill gave $100, or Peter (6) and/or Sara (8) would have donated $200, again conflicting with clue 10. If Peter and Sara each gave $100, Freeman (6) and Hill (8) would have donated $50 each. Neither Peter nor Sara would have chosen the Teletubbies video, or Teresa then would have given $200 to the station (3)--impossible (10). So, either Freeman or Hill would have gotten the Teletubbies, and Teresa would be the third $100 donor (3)--a conflict with clue 1. So, Teresa gave the station one of the $100 gifts, and either Peter or Sara gave the other $100 donation. The Teletubbies video then went to a $50 supporter of WSPT (3)--either Freeman or Hill, since if either Peter or Sara had given $50, either Freeman or Hill would have donated $25, less than the minimum specified in the introduction. Sara isn't supporter Ebert (2). If Teresa were Ebert, then Ken Burns's "The Civil War" would have been picked by a $50 donor (4), who would have to be the other of Freeman and Hill who didn't receive the Teletubbies video. However, then both Peter and Sara would also have given $100 (6, 8) to WSPT, in addition to Teresa--no (1). So, Teresa also isn't Ebert; Peter is. If Peter were the second $100 donor in clue 1, then Freeman would have given $50 (4); but Hill would have given $50 for the Teletubbies video and Sara would have donated $100 (8)--again three $100 gifts and again a contradiction with clue 1. So, Sara gave $100 and Hill then $50 (8). Hill must have received the Teletubbies video or Freeman would have donated $50 for the Teletubbies and Peter would have also given $100 (6). If Freeman had chosen "The Civil War" as a video, by clues 4 and 6, Peter would have given $100 to the PBS affiliate, which he couldn't have (1). Therefore, either Sara or Teresa got "The Civil War" for a $100 gift; and Peter Ebert gave WSPT $150 (4). Freeman donated $75 (6). By clue 5, the supporter getting "Riverdance: The Show" gave $25 more to the fundraiser than the one who received "Two Fat Ladies." Freeman must have picked the cooking video; and, by clue 9, Sara got "Riverdance." Teresa then picked Ken Burns's video, while Peter chose "Nerds 2.0.1: A Brief History of the Internet" (4). Sara is Carpenter (9) and Teresa Angelos. By clue 7, Nigel is Hill; Roger is supporter Freeman. The five supporters of PBS affiliate WSPT gave and received gifts as follows:

  • Peter Ebert, $150, "Nerds 2.0.1: A Brief History of the Internet"
  • Sara Carpenter, $100, "Riverdance: The Show"
  • Teresa Angelos, $100, Ken Burns's "The Civil War"
  • Roger Freeman, $75, "Two Fat Ladies"
  • Nigel Hill, $50, "Here Come the Teletubbies"



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