
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
From a group of boys and girls, $20$ girls leave. After their departure, there are three boys for each girl remaining. Then, $60$ boys leave, after which there are $6$ girls for each remaining boy. Find the number of girls at the beginning.
A) $\frac{720}{17}$
B) $\frac{700}{17}$
C) $\frac{680}{17}$
D) $40$

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