
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
Pinegrove Middle School has the same number of boys and girls. $\frac{4}{5}$ of the boys and $\frac{1}{2}$ of the girls attended a science lecture. Additionally, $\frac{1}{10}$ of the teachers, who are half as numerous as the boys or girls, attended the same event. What fraction of the attendees at the science lecture were boys?
A) $\frac{8}{27}$
B) $\frac{16}{27}$
C) $\frac{4}{5}$
D) $\frac{1}{2}$

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