
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
150 people were surveyed and asked if they think the color fuchsia is "mostly pink," "mostly purple," or "neither." Of them, 80 believe fuchsia is "mostly pink," 40 believe it is both "mostly pink" and "mostly purple," and another 25 think fuchsia is neither "mostly pink" nor "mostly purple." 

How many of those 150 people believe that fuchsia is "mostly purple"?

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