
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 a mining site, there are three different types of mineral deposits denoted as $X$, $Y$, and $Z$. The average purity percentage of minerals in deposit $X$ is $30\%$, in deposit $Y$ it’s $60\%$, and the average purity of minerals combined from $X$ and $Y$ is $50\%$. Additionally, the average purity of minerals when combining $X$ and $Z$ is also $45\%$. Determine the greatest possible integer value for the average purity percentage of minerals when deposits $Y$ and $Z$ are combined.
A) 64
B) 65
C) 66
D) 67

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