
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 Qatar World Cup, a certain store purchased a total of 90 World Cup mascot "Raib" ornaments and pendants for sale. It is known that the cost price of a "Raib" ornament is $40 per piece, and the cost price of a "Raib" pendant is $25 per piece.  
$(1)$ If the total cost of purchasing the "Raib" ornaments and pendants was $2850, please find the quantities of "Raib" ornaments and pendants purchased respectively.  
$(2)$ The store plans to set the selling price of a "Raib" ornament at $50 per piece and the selling price of a "Raib" pendant at $30 per piece. If all 90 "Raib" ornaments and pendants are sold out, and the profit is at least $725, find the maximum number of "Raib" pendants that can be purchased.

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