
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
For a soccer match, three types of tickets (A, B, and C) were sold, totaling 400 tickets. The prices for type A, type B, and type C tickets are 50 yuan, 40 yuan, and 30 yuan respectively. The total revenue from ticket sales is 15,500 yuan. Additionally, the number of type B and type C tickets sold is the same. How many tickets of each type were sold?

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