All-Star Puzzles
Home Contact Help Log Innot logged in
Fair Games
Fairgoers win super stuffed animals on the Great Frederick Fair's Midway.
October 11, 2004
From the introduction, each attempt to win a prize at the Midway games cost $1, with a total of $35 spent by the five before each succeeded in winning a stuffed animal. By clue 8, the fastest anyone won a prize was throwing the Ring Toss, where one teen won for $2. By clue 2, the friend who won the stuffed hippo spent $10 to do so. By clue 1, Theo spent twice as much to win as the one who got the stuffed alligator; while by clue 4, Sammy took twice as many chances to win as the teen who won playing the Pro QB football throw. Since the one who got the stuffed alligator didn't win it at the Ring Toss (clue 5), none of those in clues 1 and 4 won at that game. Therefore, between clues 1 and 4, either all four remaining teens are named or there is overlap--either Theo won at Pro QB or Sammy won the stuffed alligator. Trying the overlap case first, we combine clues 1 and 4 to designate the teens by the amounts they spent as X, 2X, and 4X. If none had won the hippo for $10, they would have spent $23 among them ($35-$10 for the hippo and $2 at the Ring Toss) so that 7X would equal $23--impossible since X would not equal an even dollar amount. So, one of the three would have had to have won the stuffed hippo. If the one who spent X had won the stuffed hippo, then the other two would have tried 20 and 40 times--no, the total was 35. If the one who spent 2X had spent the $10, then the others would have spent $5 and $20 and again the total for the five would exceed $35. If the one who spent 4X had won the hippo for $10, then the one who spent X would have spent $2.50--no from the introduction. Therefore, there is no way for clues 1 and 4 to overlap; and we have four different teens named: Theo who spent twice what the alligator winner did and Sammy who spent twice what the one who won at Pro QB did. Since we earlier established that none of the four played Ring Toss, one of the four had to have won the stuffed hippo. If either the one who won the stuffed alligator or the one who played Pro QB had spent $10 to win the hippo, Theo or Sammy would have spent $20--a total of $32 including the Ring Toss player, leaving $3 for the other two to spend at $2 and $1 each--no (8). So, either Theo or Sammy won the hippo for $10 and either the one who won the stuffed alligator or the one who played Pro QB spent $5 to do so. This gives a total of $17 with the Ring Toss, leaving $18 for the other pair, so that 2X plus X equals $18, or X equals $6. The other two sums are $12 and $6. By clue 3, the friend who won at HydroJets spent $5 more than the one who took home the stuffed snake; the only possible way for this to work is for the one who won at HydroJets to have won the hippo for $10 and the teen who won the snake to have spent $5. Then in clues 1 and 4, the snake had to have been won at the Pro QB booth, with Sammy winning the hippo; Theo spent $12 and the winner of the stuffed alligator $6. Theo didn't win the stuffed donkey (7), which went to the Ring Toss player; Theo won the panda--at the Goose Pond (6), with Bull's-Eye Balloons being where one teen won the stuffed alligator. Neither Leah (3) nor Eric (4) won the stuffed snake throwing the football at Pro QB, so Marcie did. By clue 7, Leah won the alligator for $6 and Eric the stuffed donkey. In sum, the five teens won stuffed animals as follows:

  • Eric won a donkey at the Ring Toss for $2
  • Marcie won a snake at Pro QB for $5
  • Leah won an alligator at Bull's-Eye Balloons for $6
  • Sammy won a hippo at HydroJets for $10
  • Theo won a panda at the Goose Pond for $12

Copyright © 2002-2014 All-Star Puzzles. All rights reserved.
Contact | Help | Privacy Policy