Profile Perfect Level 75 Answer, Walkthrough & Solution

Profile Perfect Level 75 Answer

Here is the complete solution for all three classrooms, including their teachers, subjects, and student counts.

How I Solved Profile Perfect Level 75

Looking at the layout of the three classrooms lined up in order from Classroom A on the far left to Classroom C on the far right, position clues immediately jumped out as the best way to anchor the board. With only three columns across, relative positional language like left and right carries immense weight.

Marie Anchored The Center Classroom

The first thing I noticed was how two separate clues referenced Marie's position. One clue stated that the class on the left of Marie had the most students. Another clue mentioned that Marie had more students than the class on her right.

Because Marie had a classroom directly to her left and another classroom directly to her right, she could not possibly be on either end of the row. That meant Marie had to be in Classroom B.

Pinning Marie right in the center immediately simplified the room layout. Classroom A was the room to her left, and Classroom C was the room to her right.

Sorting The Student Counts From Left To Right

Once Marie was placed in Classroom B, those same two clues established the student counts across the entire row.

The clue regarding the room to Marie's left told me that Classroom A had the highest student count of all, which was x3.

The next clue told me that Marie had more students than the classroom to her right, Classroom C. Since the maximum count of x3 was already claimed by Classroom A on the left, the remaining student counts of x2 and x1 had to be distributed between Marie and the rightmost room. For Marie to have more students than Classroom C, Classroom B had to take x2, leaving Classroom C with x1.

In just a couple of moves, the entire row for student counts was completely solved: Classroom A had x3, Classroom B had x2, and Classroom C had x1.

Neighbor Counts Confirmed The Outer Teachers

With Marie firmly established in the middle room, I turned to the clue stating that John and Lewis have the same number of neighbors.

In a three-room layout, the middle room borders two adjacent classrooms, meaning it has two neighbors. In contrast, the end rooms, Classroom A and Classroom C, each share a wall with only one adjacent room, meaning they each have exactly one neighbor.

Because John and Lewis share the same number of neighbors, neither of them could occupy the center slot. They had to take the two outside spots in Classroom A and Classroom C. That perfectly aligned with Marie occupying Classroom B. At this stage, I knew John and Lewis were split between Classroom A and Classroom C, but I needed another detail to assign them to their specific rooms.

Subject Choices Settled John And Lewis

The clue concerning math resolved the split between the remaining teachers. It stated that math is not John's strong suit, so he does not teach it.

Looking at the available subjects, Mathematics was assigned to Classroom C. Since John does not teach Mathematics, he could not be in Classroom C. That placed John in Classroom A, where the subject was Geography.

With John in Classroom A and Marie in Classroom B, Lewis had to take the remaining teacher spot in Classroom C, teaching Mathematics.

Finally, Marie's subject in Classroom B was resolved as Geography, completing the board cleanly.

The Point Where I Nearly Went Wrong

The clue mentioning that John and Lewis have the same number of neighbors can feel slightly ambiguous if you overthink the room layout. It is easy to wonder whether neighbors implies wrap-around seating or specific distance across the school.

However, looking at the linear layout from Classroom A to Classroom C clarifies the concept immediately. The two end classrooms each border only the center classroom, giving them one neighbor apiece, while the center classroom borders both ends. Recognizing that symmetry kept me from second-guessing their placement on the outside edges.

Looking Back At The Solution

The breakthrough for this puzzle came entirely from identifying Marie's position right at the start. Because she had active rooms on both her left and right sides, placing her in Classroom B instantly unlocked the student numbers across all three rooms and framed where the other two teachers had to go.