
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
Given that there are 300 students at Maplewood Middle School with a ratio of boys to girls of 3:2, and 240 students at Brookside Middle School with a ratio of boys to girls of 3:5, determine the fraction of students at the joint event that are girls and the new ratio of boys to girls at this event.

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