Try this poetic puzzle involving 5 elves, dressed
in 5 different colors, who made 5 different types
of toys.
- Ole Santa's pack held thirty toys
- Made by his elfin crew;
- And though none made the same amount,
- Each elf made more than two.
- The elf named Cher made one more toy
- Than the elf who dressed in reds,
- But Cher made one less Christmas toy
- Than the elf who made the sleds.
- Spry Johnny elf made racing cars;
- Five toys were made by Jane.
- The elf who dressed in yellow suits
- Made each and every train.
- The elf who always dressed in green
- Made one-third as many as Sue.
- Cute Marcia elf was dressed in orange,
- And one elf dressed in blue.
- The elf who made the spinning tops
- Made the most toys of them all.
- Another perky, smiling elf
- Made each and every ball.
- Ole Santa's pack held 30 gifts
- All tagged for girls and boys.
- From the clues that you've been given,
- Now guess who made what toys.
Solution to the Problem:
Each elf made at least three toys (line 4). One elf made three times as many as another (13-14), and three elves made consecutive amounts (5-8). If you eliminate duplicate amounts (3), two possible number combinations total 30: 12/6/5/4/3 or 9/7/6/5/3. With either solution, Sue made the most (13-14). And we know that she made tops 17-18). She was not dressed in green (13-14), orange (15), red (5-6), or yellow (11-12), so she must be the elf in blue. The two elves who made the least must be dressed in green (13-14) and red (5-6). Therefore the elf who made the least can not be Marcia (15). It also can not be Cher (5-8), or Jane (10), so Johnny must have made the least. And he made cars (9). The elf who made the second most was not Jane (10)or Cher (5-8), so it must have been Marcia.And Marcia dressed in orange (15).Since the two elves who made the least were in green and red, the elf in yellow must have made the third-smallest amount of toys. And that elf made trains (11-12). Since the elf making sleds could not have made the second-smallest amount of toys (7-8), Marcia must have made the sleds. Cher is therefore the elf in yellow, and the person who made the second-smallest amount of toys is in red (5-8). By elimination, Johnny is in green, and Jane is in red and made the balls. Since the elf in green made three toys, Sue must have made nine toys (13-14), and our amounts of toys must be: 9/7/6/5/3. Sue (blue) made 9 tops.
Marcia (orange) made 7 sleds.
Cher (yellow) made 6 trains.
Jane (red) made 5 balls.
Johnny (green) made 3 cars.
Correctly solved by:
1. Darren Rennie | Winchester, VA |
2. Devin Grim | Winchester, VA |
3. Jeremy Ramsey | Winchester, VA |
4. John Beavers | Winchester, VA |
5. Michael Leatherman | Norfolk, VA |
6. Elizabeth Dyke | Winchester, VA |
7. Krista Ramey | Winchester, VA |
8. Rachel Rasmussen | Winchester, VA |