
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
若买$10$杯$A$款咖啡, $15$杯$B$款咖啡需$230$元；若买$25$杯$A$型咖啡, $25$杯$B$型咖啡需$450$元.

问题解决

任务$1$: 问$A$款咖啡和$B$款咖啡的销售单价各是多少元?

任务$2$: 在不加料的情况下,购买$A$、$B$两种款式的咖啡（两种都要）,刚好花$200$元,问有几种购买方案?

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