
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 Melody Arts School, the band has 120 female and 100 male members. The orchestra has 100 female and 120 male members. There are 80 females who are members of both the band and orchestra. Altogether, there are 260 members who are part of either the band, the orchestra, or both. Determine the number of females in the orchestra who are NOT in the band.
A) 10
B) 20
C) 30
D) 40
E) 50

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