
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 class six (2), $\frac {3}{7}$ of the number of boys is equal to $\frac {6}{11}$ of the number of girls. What is the simplest integer ratio of the number of boys to the number of girls? If there are 22 girls, how many students are there in total in the class?

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