
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 grocer bought two types of tea: one at 32 cents per pound and the other, of better quality, at 40 cents per pound. He decided to mix these types and sell the mixture at 43 cents per pound to achieve a 25% net profit.

How many pounds of each type is needed to prepare 100 pounds of the mixture?

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