
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 three alloys. The first alloy contains $60\%$ aluminum, $15\%$ copper, and $25\%$ magnesium; the second alloy contains $30\%$ copper and $70\%$ magnesium; the third alloy contains $45\%$ aluminum and $55\%$ magnesium. A new alloy with $20\%$ copper is to be made from these three metals. What values can the percentage of aluminum in the new alloy take?

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