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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