
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
Betty goes to the store to purchase flour and sugar. The amount of flour she buys, in pounds, is at least 4 pounds more than one-third the amount of sugar, and is no more than three times the amount of sugar. If the cost per pound for sugar is $2 and for flour is $3, and Betty has a budget of $36, find the minimum pounds of sugar that Betty needs to buy.

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