
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]


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The two science classes 7A and 7B each consist of a number of boys and a number of girls. Each class has exactly 30 students.
The girls in 7A have a mean score of 48. The overall mean across both classes is 60.
The mean score across all the girls of both classes is also 60.
The 5 girls in 7B have a mean score that is double that of the 15 boys in 7A.
The mean score of the boys in 7B is \(\mu\). What is the value of \(10 \mu\)?

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