
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
A regiment of cuirassiers buys a certain number of horses for 11,250 francs. A regiment of dragoons buys fifteen more horses for 16,000 francs. Each dragoon horse is 50 francs cheaper than a cuirassier horse. Determine the number of horses of each type and their cost.

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