Logic Problem Solution:
"The Traveling Antiques Show"
From the introduction, each of the five antiques featured on
"The Traveling Antiques Show" has some value, but no two of
them have the same value. By clue 1, the five antiques add
up to $4,000 in value, with the most valuable at $1,500. By
clue 6, Carl's antique is worth $500 more than the Puzzle Jug,
which is valued at $500 more than Zimmer's antique. By clue
10, Greta's antique is valued at $500 more than Thacker's.
Greta can't own the Puzzle Jug in clue 6, since then Zimmer
(6) and Thacker (10) would have antiques with the same value.
Thacker can't have the Puzzle Jug, since then Carl (6) and
Greta (10) would have pieces with the same value. So, either
Greta is Zimmer, Carl is Thacker, or all five antique owners
are given between clues 6 and 10. If either of the first two
cases were true, and given that Greta or Carl had the $1,500
antique, three others would be worth $1,000, $500, and $0a
conflict with the introduction which says that all five pieces
have value. So, between clues 6 and 10, all five antiques are
named; and either Carl or Greta has the one worth $1,500. If
Greta were to have the $1,500 antique, Thacker's would be worth
$1,000 (10). The three in clue 6 would then be worth a total
of $1,500 (1). However, even if Zimmer's antique were only
worth $1, the Puzzle Jug would be worth $501 and Carl's piece
$1,001, a total of $1,503 and a contradiction. Carl's antique
is therefore the $1,500 one, the Puzzle Jug is worth $1,000, and
Zimmer's antique would bring $500. The remaining $1,000 (1)
must be split so that Greta's antique is worth $500 more than
Thacker's (10)so Greta's is worth $750 and Thacker's $250.
By clue 3, the Pickle Castor is worth twice as much as Herb's
antique. The Pickle Castor must be Zimmer's item, and Herb is
Thacker. By clue 4, the piece picked up at an estate sale is
valued at twice the amount of the unopened Dr. Brophy's Pain
Panacea bottle. Since Greta doesn't own the Dr. Brophy's
bottle (10), Herb must; and Zimmer bought the Pickle Castor at
an estate sale. By clue 11, Zimmer is Joan and Diane owns the
Puzzle Jug. Also by clue 11, then, Carl has the Victorian
"Fish Pond" game. By elimination, Greta's antique is the Betty
Lamp. Greta's surname is Yeager (9). By clue 5, Carl is
Waldorf and Diane Sperry. Herb found the Dr. Brophy's bottle
in an old barn (2). Neither Carl Waldorf's item (7) nor Diane's
Puzzle Jug (12) came from Aunt Agatha, so Greta got the Betty
Lamp from her Aunt Agatha. By clue 8, finally, Carl purchased
his antique at a Welsh flea market, and Diane found the Puzzle
Jug in the attic of the house she bought. The five featured
antiques on the Summerset episode of "The Traveling Antiques
Show" are
 Carl Waldorf, "Fish Pond" Game, flea market in Wales, $1,500
 Diane Sperry, Puzzle Jug, attic of house, $1,000
 Greta Yeager, Betty Lamp, Aunt Agatha, $750
 Joan Zimmer, Pickle Castor, estate sale, $500
 Herb Thacker, Dr. Brophy's bottle, old barn, $250

