
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider a square pattern of 7 black and 18 white square tiles. Attach a border of black tiles around this square. What is the ratio of black tiles to white tiles in the extended pattern?
A) $\frac{25}{18}$
B) $\frac{31}{18}$
C) $\frac{35}{18}$
D) $\frac{40}{17}$

Present the answer in LaTex format: \boxed{Your answer}
user