
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
The key to the Beijing Winter Olympics opening a new era of global ice and snow sports lies in China's hosting of the Winter Olympics and promoting winter sports, allowing ice and snow sports to enter ordinary households. A school has formed a skiing team, and the team captain needs to buy some skis. After understanding, there are two types of skis, $A$ and $B$. If 2 pairs of type $A$ skis and 1 pair of type $B$ skis cost a total of $340$ yuan; if 3 pairs of type $A$ skis and 2 pairs of type $B$ skis cost a total of $570$ yuan. Find the price of 1 pair of type $A$ skis and 1 pair of type $B$ skis.

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