
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 the Hardey Fitness Center, a survey was conducted focusing on the average weight of its members. The average weight of the female members was 55 kg, and the average weight of the male members was 80 kg. If the overall average weight of the membership was found to be 70 kg, what is the ratio of female to male members? Express your answer as a common fraction.

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