Profile Perfect Level 167 Answer
Here is the complete solution for each cake in the lineup.
| Trait | Cake A | Cake B | Cake C | Cake D |
|---|---|---|---|---|
| Stack Count | 3 | 1 | 2 | 4 |
| Topping Color | Brown | Orange | Green | Yellow |
| Decoration | Candle | Flower | Star / Cookies | Ribbon |
| Topper Number | 35 | 52 | 17 | 28 |
| Flavor | Strawberry / Banana | Chocolate / Coffee | Lemon | Red Velvet |
| Birthday Person | Abigail | Dave | Linda | Vincent |
How I Solved Profile Perfect Level 167
Looking across the clue list, the layout of four cakes from Cake A on the left to Cake D on the right gave several immediate positional anchors. Direct placement clues for specific columns made it possible to lock in key decorations and colors right away, which quickly opened up the rest of the board.
Pinning Down Cake A and Cake C Early
The first thing I noticed was Clue 3, which directly states that a stubborn magic Candle lights up Cake A again and again. That gave me an immediate anchor: Cake A has the Candle decoration.
With Cake A confirmed as the Candle, Clue 5 became instantly actionable. It tells us that the Green cake is two columns away from the Candle. Moving two columns right from Cake A placed the Green topping color squarely on Cake C.
Next, Clue 6 notes that the Candle-topped cake has a combination of fruit flavors. Looking at the available flavors, Strawberry / Banana was the only fruit combination, locking Cake A's flavor in immediately.
Clue 12 helped with colors next. It mentions that the Yellow cake is farthest from the Banana flavor. Since Banana belongs to Cake A on the far left, the Yellow topping had to go all the way to the far right on Cake D.
Placing the People and Flavors in the Middle
From there, Clue 7 offered a clear positional constraint: Chocolate flavor is between Abigail and Green cake. We already knew Cake C was the Green cake. For Chocolate to be between Abigail and Cake C, Chocolate had to sit on Cake B, with Abigail on Cake A. This assigned the Chocolate / Coffee combo flavor to Cake B and confirmed Abigail as the birthday person for Cake A.
Now only two flavors remained unassigned: Lemon and Red Velvet. Clue 11 notes that the Lemon cake is on the right of Cake B. Since Cake C is immediately to the right of Cake B, Cake C took the Lemon flavor. That left Red Velvet for Cake D. This also satisfied Clue 9, which requires that Red Velvet and Coffee flavors are not neighbors, since Coffee on Cake B and Red Velvet on Cake D are separated by Cake C.
With the Brown topping still to place, Clue 4 notes that the Brown cake does not have a Chocolate flavor. Because Cake B is Chocolate, Cake A received the Brown topping color. That left Orange as the final remaining topping color, which slotted into Cake B.
Sorting the Decorations
Next, I looked at the decorations for the remaining columns. Clue 16 states that the left half of the grid does not contain a Ribbon decoration, ruling out Cake A and Cake B. Clue 15 adds that Cookies is between Flower and Ribbon.
Since Cake A already had the Candle, Flower had to be on Cake B, Star / Cookies on Cake C, and Ribbon on Cake D. That neatly satisfied both clues, placing Ribbon on the far right and Cookies directly between Flower on Cake B and Ribbon on Cake D.
Working Out Ages and Stack Heights
At this point, I needed to assign the topper numbers, birthday people, and stack counts.
Clue 1 states that Dave's birthday is today and he is over half a century old. Among the available ages (17, 28, 35, 52), 52 is the only number over fifty. Clue 13 indicates that Vincent is older than Linda. Clue 14 adds that the second youngest person is a fan of Red Velvet.
Cake D had the Red Velvet flavor, so the second youngest person must be on Cake D. Sorting the ages gives 17 as the youngest, 28 as the second youngest, 35 as the third, and 52 as the oldest. Therefore, Cake D has the topper number 28.
Because Vincent is older than Linda, Vincent must be 28 and Linda must be 17. That assigned Vincent to Cake D with topper number 28, and Linda to Cake C with topper number 17. With Abigail already on Cake A, Dave went to Cake B with topper number 52. Abigail's age of 35 then filled the remaining topper number slot on Cake A.
Finally, I tackled the stack counts (1, 2, 3, and 4). Clue 8 states that no other cake is taller than the rightmost cake, giving Cake D the maximum stack count of 4. Clue 10 explains that the two youngest people (Linda at 17 on Cake C and Vincent at 28 on Cake D) are to the right of the shortest cake. That meant the shortest cake with a stack count of 1 had to be Cake B.
Lastly, Clue 2 confirms that Cake C is taller than one of its neighbors. Since Cake B has a height of 1, Cake C had to be at least 2. Assigning 2 to Cake C left 3 for Cake A, perfectly completing the entire grid.
The Point Where I Nearly Went Wrong
Clue 7 ("Chocolate flavor is between Abigail and Green cake") requires careful attention to column spacing. It is easy to assume that "between" implies several open slots or loose distance. However, because Green was fixed to Cake C and Abigail had to be placed on a valid column to the left, Cake B was the only possible space between them.
Another subtle detail appeared in Clue 10 regarding the shortest cake. Because the two youngest people were in columns C and D, the cake with stack count 1 could technically have been either Cake A or Cake B at first glance. It was only after checking Clue 2, where Cake C must be taller than one neighbor, that Cake B became the clear and necessary choice for the single stack.
Looking Back At The Solution
The breakthrough in this solve came right at the beginning by linking the Candle on Cake A to the Green topping on Cake C. That small two-column jump established the framework for the flavors and names, allowing the rest of the traits to fall into place in a clean, logical sequence.


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