
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
The Pythagoras High School band has $120$ female and $110$ male members. The Pythagoras High School orchestra has $100$ female and $130$ male members. There are $90$ females and $80$ males who are members in both the band and orchestra. Altogether, there are $280$ students who are in either band or orchestra or both. The number of females in the orchestra who are NOT in the band is:
A) 5
B) 10
C) 15
D) 20
E) 25

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