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Watercolors by Somerset artists feature local scenes in today's tough Logic Puzzle.
July 10, 2006
From the introduction, the six watercolors sold for six different prices; the lowest-priced sold for $150, with the six selling for a total of $2200 (clue 1). By clue 2, the painting by Eustis sold for twice as much as the painting "Monk's Cave"; while by clue 11, Marie's work cost twice as much as "County Courthouse," which sold for twice what Farmer's painting did. Marie in clue 11 can't be Eustis in clue 2 or both "Monk's Cave" and "County Courthouse" would have sold for the same amount. If Marie had painted "Monk's Cave," by clues 1, 2, and 11, the least the six paintings could have cost would have been $150, $300, $600, and $1200--a total of $2250 and a conflict with clue 1. Farmer didn't do "Monk's Cave" (8), so Eustis didn't paint "County Courthouse" or Farmer's work and "Monk's Cave" would have cost the same amount. So, between clues 2 and 11, five of the six works are named: Eustis' painting, "Monk's Cave," Marie's work, "County Courthouse," and Farmer's watercolor. By clue 3, "Indian Mounds" cost $100 more than the watercolor by Arliss, which cost $100 more than Lynda's work. Arliss didn't do "County Courthouse" (5) or "Monk's Cave" (8). If Arliss were Marie, given that the least Farmer's painting could have sold for is $150 (1), by clues 11 and 3, Farmer's watercolor would have sold for $150, "County Courthouse" for $300, Marie Arliss' work for $600, "Indian Mounds" for $700, and Lynda's painting for $500--a total of $2250 and a contradiction of clue 1. So, Arliss' watercolor is the sixth to the five named in clues 2 and 11. Arliss' painting didn't sell for $150 (3), so either "Monk's Cave" in clue 2 or Farmer's work in clue 11 sold for $150. If "Monk's Cave" sold for $150, Eustis' painting would have cost $300 (2). Eustis then couldn't have painted "Indian Mounds" or Lynda's watercolor would have sold for $100 (3). If Farmer had painted "Indian Mounds," by clues 2 and 3, Lynda would have to be Eustis or have to have painted "Monk's Cave." If Lynda were Eustis, combining clues 2, 3, and 11 would give totals of $150 ("Monk's Cave"), $300 (Lynda Eustis), $400 (Arliss), $500 (Farmer for "Indian Mounds"), $1000 ("County Courthouse"), and $2000 (Marie)--a total of $4350. If Lynda had painted "Monk's Cave," combining clues 2, 3, and 11 would give totals of $150 (Lynda for "Monk's Cave"), $300 (Eustis), $250 (Arliss), $350 (Farmer for "Indian Mounds"), $700 ("County Courthouse"), and $1400 (Marie)--a total of $3150. So, Farmer wouldn't have painted "Indian Mounds." If Marie had painted "Indian Mounds," Lynda couldn't have done "County Courthouse" or Farmer's work would have cost $100. If Lynda were Farmer, by clue 2, Lynda's painting cost X and Marie's 4X and by clue 3 4X - X = $200 or X = $66.66. Marie's work would have cost $266.66, Arliss' $166.66, Lynda's $66.66, and "County Courthouse" $133.33--a total of $1083.33. Therefore, there is no way "Monk's Cave" could have cost the low of $150. Farmer's painting sold for $150, "County Courthouse" for $300, and Marie's watercolor for $600. "Indian Mounds" in clue 3 can't be Farmer's work. If "Indian Mounds" were Marie's work, Arliss' painting would have sold for $500 and Lynda's for $400. If Lynda were Eustis, "Monk's Cave" would have cost $200--a total of $2150. If Lynda had painted "Monk's Cave," Eustis' watercolor would have sold for $800 (2)--a total of $2750. So, Eustis painted "Indian Mounds." If Lynda in clue 3 had painted "Monk's Cave," by clue 2, "Monk's Cave" would have sold for $200 and "Indian Mounds" for $400, with Arliss' work costing $300--a total of $1950. If Lynda in clue 3 were Farmer, Eustis' work would have cost $350, Arliss' $250, and "Monk's Cave" $175--a total of $1825. Lynda painted "County Courthouse." Then Eustis' watercolor cost $500, Arliss' work cost $400 (3), and "Monk's Cave" sold for $250--a total of $2200 matching clue 1. By clue 4, Marie painted "Grand Falls." Her surname is Brewer (6). Then by clue 6, Lynda is Davis, and Cramer painted "Monk's Cave." By clue 4, Kevin isn't Arliss or Farmer, who painted "The Bandstand" and "Freedman's School" or vice versa. Kevin also isn't Cramer (9); he is Eustis. By clue 10, James isn't Arliss; nor is he Farmer, whose painting cost the least. James is Cramer. Then by clue 10, the "Freedman's School" is Farmer's work and "The Bandstand" Arliss'. Finally, by clue 7, Farmer is Heather and Arliss Ian. In sum, the six watercolors sold Saturday at Summerset Gallery's exhibit are

  • "Grand Falls" by Marie Brewer for $600
  • "Indian Mounds" by Kevin Eustis for $500
  • "The Bandstand" by Ian Arliss for $400
  • "County Courthouse" by Lynda Davis for $300
  • "Monk's Cave" by James Cramer for $250
  • "Freedman's School" by Heather Farmer for $150.

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