
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 Pine Grove Middle School, there are 300 students where the ratio of boys to girls is 3:2. Meanwhile, Maple Town Middle School has 240 students with a ratio of boys to girls of 5:3. The two schools organized a science fair and all students attended. What fraction of the students at the science fair are girls?
A) $\dfrac{1}{4}$
B) $\dfrac{7}{18}$
C) $\dfrac{2}{5}$
D) $\dfrac{1}{2}$
E) $\dfrac{3}{8}$

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