
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
Orwell Middle School has 300 students, and the ratio of boys to girls is 3:2. Meanwhile, Huxley Middle School has 240 students with a ratio of girls to boys being 3:2. Both schools organize a combined educational outing where all students participate. What fraction of the students at the outing are girls?
A) $\frac{7}{18}$
B) $\frac{7}{15}$
C) $\frac{22}{45}$
D) $\frac{1}{2}$
E) $\frac{23}{45}$

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