
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
At a mathematics competition, $65$ students are wearing blue shirts, and another $95$ students are wearing green shirts. A total of $160$ students are grouped into $80$ pairs. If in exactly $25$ of these pairs, both students are wearing blue shirts, determine how many pairs consist of both students wearing green shirts.
A) 30  
B) 35  
C) 40  
D) 45  
E) 50

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