
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
$30$ lemons are required to make $40$ gallons of lemonade. If this ratio is maintained, how many lemons are needed to make $10$ gallons of lemonade? Additionally, if $2$ pounds of sugar are used for every $5$ gallons of lemonade, how much sugar is required for $10$ gallons?

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