
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
Let the number of juniors be $j$ and the number of seniors be $s$. Given that $\frac{3}{4}j$ and $\frac{1}{2}s$ participated in the science fair, and that $\frac{3}{4}j = \frac{1}{2}s$, and that $j + s = 240$, determine the total number of students that participated in the science fair from these two grades.

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