
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
Let the number of tickets purchased by School A be $x$ and the number of tickets purchased by School B be $y$, and the total cost be $p$. Let the price of each ticket purchased by a student from School A be $60$ yuan and the price of each ticket purchased by a student from School B be $80$ yuan for the first $100$ tickets and $100$ yuan for each ticket beyond $100$. If School A and School B respectively choose Plan 1 and Plan 2 to purchase a total of 700 tickets for the World Expo, spending a total of 58,000 yuan, then calculate the number of tickets purchased by School A and School B.

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