
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
There are two high schools, Carson High School (CHS) and Dylan High School (DHS) where students took part in an exam. The average scores for boys, for girls, and for both boys and girls combined at both schools are given in the table; also provided are the combined average scores for girls at the two schools. Compute the average score for boys at the two schools combined.

$\begin{tabular}[t]{|c|c|c|c|} \multicolumn{4}{c}{Average Scores}\\\hline Category&Carson&Dylan&Carson\&Dylan\\\hline Boys&65&70&?\\ Girls&75&85&80\\ Boys\&Girls&68&75& \\\hline \end{tabular}$
A) 66
B) 67
C) 68
D) 69

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