
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
Elmo makes $N$ bagels for a school breakfast. For each bagel he uses $C$ grams of cream cheese at $3$ cents per gram and $J$ grams of jelly at $6$ cents per gram. The cost of the cream cheese and jelly to make all the bagels is $\$3.12$. Assume that  $C$, $J$, and $N$ are positive integers with $N>1$. What is the cost, in dollars, of the jelly Elmo uses to make the bagels?

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