
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 7th grade class, there are 25 students, each of whom attends either a dance club or a drama club (some attend both clubs). All students took a math test, and the teacher calculated the percentage of students who failed the test separately among the "dancers" and among the "actors." It turned out that the percentage was the same and equal to 30%. Could the percentage of students who failed the test in the entire class be higher than 35%?

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