
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
Whilst backpacking across Europe, Emily and Berengere stop in Switzerland. A cake in a local cafe costs 15 Swiss francs. Emily has 10 USD and Berengere has some euros. If the exchange rates are 1 USD = 0.90 Swiss francs and 1 euro = 1.10 Swiss francs, how many euros does Berengere need to contribute so they can buy the cake?

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