
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 Summerfield Gym, a survey shows the average age of the female members is 35 years old and the average age of the male members is 30 years old. The average age of the entire membership is 32 years old. What is the ratio of female to male members? Write your answer as a common fraction.

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