Profile Perfect Level 670 Answer
Gas Pump A is a red pump with a yellow nozzle costing $$$, Gas Pump B is a green pump with a blue nozzle costing $, and Gas Pump C is a red pump with a red nozzle costing $$.
| Trait | Gas Pump A | Gas Pump B | Gas Pump C |
|---|---|---|---|
| Color | Red | Green | Red |
| Nozzle Color | Yellow | Blue | Red |
| Total Cost | $$$ | $ | $$ |
How I Solved Profile Perfect Level 670
Looking at the board for the first time, the layout felt compact with only three subjects across the line: Gas Pump A on the left, Gas Pump B in the center, and Gas Pump C on the right. With such a tight space, relative position clues carry enormous weight because any rule about neighbors or endpoints instantly eliminates two-thirds of the possibilities. My primary goal was to find a clean anchor in either the cost tier or the color palette before trying to connect the more intricate clues together.
The Right Edge Locked Down The Entire Price Scale
The first thing I noticed was the clue stating that the rightmost pump has the average price. Because the available total costs across the puzzle are $, $$, and $$$, the average among them is clearly the middle tier, $$.
Since Gas Pump C sits at the far right of the row, that immediately gave me a firm placement:
- Gas Pump C has a Total Cost of $$.
With that single anchor established, another clue about costs became usable right away. We are told that the two priciest gas pumps are not neighbors. The two highest prices on the board are $$ and $$$. We already know that Gas Pump C holds the $$ price tag. If the two priciest pumps cannot sit next to each other, the pump costing $$$ cannot be adjacent to Gas Pump C.
Gas Pump B sits directly beside Gas Pump C in the center of the row, which means Gas Pump B cannot possibly have the $$$ price. The only position left that does not touch Gas Pump C is Gas Pump A on the far left. That allowed me to assign the $$$ cost directly to Gas Pump A.
From there, only one price remained unaccounted for:
- Gas Pump A has a Total Cost of $$$.
- Gas Pump B takes the remaining Total Cost of $.
- Gas Pump C keeps its Total Cost of $$.
In just two moves, the entire bottom row of costs was completely resolved.
Mixing Colors On The Leftmost Pump
Once the costs were out of the way, I shifted my attention to the color clues. The clue mentioning that the color combination of the left pump and its nozzle creates orange stood out immediately.
Gas Pump A is the left pump. In standard color theory, creating orange requires combining red and yellow. That told me that Gas Pump A had to use red and yellow between its body and its nozzle, but I still needed to figure out which trait belonged to which part.
To resolve that, I compared the available trait options for both categories across the puzzle:
- Pump colors include Red and Green.
- Nozzle colors include Yellow, Blue, and Red.
Yellow does not appear anywhere in the pump color list. It only exists as an option for nozzles. Because yellow could only be placed in the nozzle row, Gas Pump A had to take Yellow for its nozzle color. That left Red as the only choice for Gas Pump A's pump body.
That changed the picture substantially:
- Gas Pump A's pump color became Red.
- Gas Pump A's nozzle color became Yellow.
Now Gas Pump A was entirely finished across all three traits, leaving only the center and right positions to sort out.
The Matching Color Clue Decided The Remaining Slots
At this point, I turned to the clue stating that one of the gas pumps has the same color as its nozzle.
Gas Pump A was already locked in with a Red pump and a Yellow nozzle, so it could not be the pump with matching colors. That meant either Gas Pump B or Gas Pump C had to be the one where the pump color and nozzle color were identical.
I checked whether Gas Pump B could ever have matching colors. The pump color options are Red and Green, while the nozzle color options are Yellow, Blue, and Red. For a pump to have the exact same color on both its body and its nozzle, that specific color must exist in both categories.
- Green is an available pump color, but not a nozzle color.
- Blue is an available nozzle color, but not a pump color.
- Yellow is an available nozzle color, but not a pump color.
Red is the single color that appears in both the pump color category and the nozzle color category. Therefore, any pump that has matching body and nozzle colors must be Red in both slots.
Could Gas Pump B be that matching Red pump? If Gas Pump B were Red, then all three pumps on the board would have to share traits in ways that did not match our remaining options. More importantly, Gas Pump C still needed a nozzle and a body color. Placing Red on Gas Pump C for both its body and its nozzle satisfied the matching clue completely.
Once Gas Pump C was set to Red for its body and Red for its nozzle:
- The only remaining pump body color for Gas Pump B was Green.
- The only remaining nozzle color for Gas Pump B was Blue.
With those two placements, the entire grid was complete.
The Point Where I Nearly Went Wrong
The clue that gave me pause was the statement that the Red gas pump is not next to the -priced one.
At first glance, the text appears to have a missing symbol right before the word priced, which made it look ambiguous or incomplete. My initial impulse was to try to deduce whether it meant the lowest priced pump ($) or the highest priced pump ($$$), and build an early deduction around that assumption.
Relying on an interpretation of an incomplete clue would have been a mistake. Instead of trying to guess what symbol was meant to appear before the word priced, I set that clue aside completely and relied on the average price clue combined with the rule that the two priciest pumps are not neighbors. Those two clues alone cleanly solved the cost trait for every pump on the board without needing to gamble on the missing text.
Looking at the solved grid afterward, Gas Pump C is a Red pump with a cost of $$, and it sits next to Gas Pump B, which has a cost of $. Meanwhile, Gas Pump A is also Red, costing $$$, and it sits on the opposite side of Gas Pump B. Bypassing that clue entirely kept the solve clean and prevented any false assumptions.
Looking Back At The Solution
The breakthrough for this puzzle came from realizing how restrictive the color options actually were. While the pricing deductions gave an immediate foothold across all three columns, identifying that Red was the only color shared between the pump bodies and the nozzles solved the rest of the board almost effortlessly. Once Gas Pump C took that matching pair, every other piece had only one valid place left to go.


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