
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
In the  Mathematical  Competition  of  HMS (Hellenic  Mathematical  Society)  take part  boys and  girls  who are divided  into  two  groups : *Juniors*  and  *seniors.*The number of the  boys  taking  part  of this year  competition  is  55%  of the  number  of all participants. The  ratio  of the number  of juniors  boys  to  the number of senior  boys  is equal  to the  ratio of the  number of juniors  to the number of seniors. Find  the ratio  of the number of junior  boys  to the number  of  junior  girls.

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