
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
There is a very wealthy merchant who has three daughters. One day, the merchant took his daughters to the market to buy dresses and hats. The eldest daughter bought 6 dresses and 3 hats, spending 105 silver coins; the second daughter bought 3 dresses and 5 hats, spending 70 silver coins; the kind-hearted youngest daughter Belle bought only 1 dress and 2 hats. If each dress costs the same and each hat costs the same, how many silver coins did the merchant spend for Belle?

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