
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]


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Brand X soda promises, "We will provide you with 30% more soda than Brand Y for a total price that is 15% less!" Compare this scenario to Brand Z which offers 40% more soda than Brand Y, but at a 10% higher price. What is the ratio of the unit price of Brand Z soda to the unit price of Brand X soda? Express your answer as a common fraction.

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