
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
In a math competition, 68 students are wearing blue shirts, and 82 students are wearing green shirts. The 150 students are divided into 75 pairs. If exactly 30 of these pairs consist of students both wearing blue shirts, how many pairs consist of students both wearing green shirts?
A) 30
B) 32
C) 35
D) 37
E) 40

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