
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
During the summer vacation, two parents plan to take several students on a trip. They contacted two travel agencies, both offering a price of $500. After negotiation, Travel Agency A's discount conditions are: full price for the two parents, and students are charged at 70% of the original price; Travel Agency B's discount conditions are: both parents and students are charged at 80% of the original price. Assuming these two parents are taking $x$ students on the trip.

1. Write down the functions of the fees $y_{1}$ (in dollars) and $y_{2}$ (in dollars) for Travel Agency A and Travel Agency B, respectively, in terms of $x$.
2. Which travel agency should they choose for a better deal?

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