
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
Given Ray's car averages 35 miles per gallon of gasoline and Tom's car averages 15 miles per gallon of gasoline, determine the cars' combined rate of miles per gallon of gasoline, given that Ray drives 420 miles and Tom drives 300 miles.

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