Logic Puzzle Solution
We are tasked with determining the grade and favorite color of four children: Amanda, Bill, Cathy, and Dorothy. Each child is in one of the grades (1st, 2nd, 3rd, or 4th) and has a unique favorite color (blue, red, pink, or green). We will use the clues provided to solve the puzzle.
#### Clues:
1. The 4th grader is a boy who does not like pink.
2. Dorothy is the youngest and likes blue.
3. Cathy is one grade ahead of Amanda.
4. The 2nd grader likes red.
#### Step-by-Step Solution:
#####
Step 1: Analyze Clue 2
-
Clue 2: Dorothy is the youngest and likes blue.
- Since Dorothy is the youngest, she must be in the 1st grade.
- Dorothy's favorite color is blue.
- Update the grid:
- Dorothy: 1st grade, Blue.
#####
Step 2: Analyze Clue 1
-
Clue 1: The 4th grader is a boy who does not like pink.
- From the grid, we see that Bill is the only boy left who could be in the 4th grade.
- Bill cannot like pink (as per the clue).
- Bill's favorite color must be green (since he cannot like pink, and blue and red are already assigned to Dorothy and the 2nd grader, respectively).
- Update the grid:
- Bill: 4th grade, Green.
#####
Step 3: Analyze Clue 4
-
Clue 4: The 2nd grader likes red.
- From the grid, we see that Amanda is in the 2nd grade.
- Amanda's favorite color must be red.
- Update the grid:
- Amanda: 2nd grade, Red.
#####
Step 4: Analyze Clue 3
-
Clue 3: Cathy is one grade ahead of Amanda.
- Amanda is in the 2nd grade, so Cathy must be in the 3rd grade.
- The only remaining color for Cathy is pink.
- Update the grid:
- Cathy: 3rd grade, Pink.
#### Final Grid:
| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|---------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | X | O | X | X | X | O | X | X |
| Bill | X | X | X | O | X | X | X | O |
| Cathy | X | X | O | X | X | X | O | X |
| Dorothy | O | X | X | X | O | X | X | X |
| Blue | O | X | X | X | | | | |
| Red | X | O | X | X | | | | |
| Pink | X | X | O | X | | | | |
| Green | X | X | X | O | | | | |
#### Final Answer:
-
Amanda: 2nd grade, Red
-
Bill: 4th grade, Green
-
Cathy: 3rd grade, Pink
-
Dorothy: 1st grade, Blue
$$
\boxed{
\text{Amanda: 2nd grade, Red; Bill: 4th grade, Green; Cathy: 3rd grade, Pink; Dorothy: 1st grade, Blue}
}
$$
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles with answers.