
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
Students commute to our school in various ways. Local students walk. The ratio of local to commuting students is $3:1$. Among commuting students, the ratio of those who use public transportation to those who cycle or are driven by their parents is $3:2$. For public transportation, the ratio of those who travel by train to those who travel by bus is $7:5$. Additionally, the ratio of those who cycle to those who are driven by their parents is $5:3$. How many more students commute by train compared to those driven by their parents, if 24 students use public transportation? How many students are there in total at our school?

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