
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 \( N \) sandwiches for a fundraiser. For each sandwich, he uses \( B \) globs of peanut butter at \( 4 \) cents each, \( J \) blobs of jam at \( 5 \) cents each, and \( 2 \) slices of bread at \( 10 \) cents per slice. The total cost of the ingredients to make all the sandwiches is \( \$4.14 \). Assume that \( B \), \( J \), and \( N \) are positive integers with \( N > 1 \). What is the cost, in dollars, of the jam used to make these sandwiches?

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