
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
A bucket when one-third full of water weighs $p$ kilograms and when three-quarters full weighs $q$ kilograms. Determine the total weight of the bucket when it is completely full of water, in terms of $p$ and $q$.
A) $\frac{8p - 3q}{5}$
B) $\frac{8q - 3p}{5}$
C) $\frac{7q - 2p}{5}$
D) $\frac{9q - 4p}{5}$

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