
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 certain school plans to purchase two models of badminton rackets, model A and model B, for the promotion of "Sunshine Sports". The school plans to buy a total of 30 pairs of badminton rackets. It is known that model A costs $50$ yuan per pair, and model B costs $40$ yuan per pair. If the total cost of purchasing both models A and B is $1360$ yuan, find out how many pairs of model A and model B badminton rackets were bought.

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