
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
The number of eighth graders and fifth graders who bought a pencil can be represented as variables x and y, respectively. Given that some eighth graders each bought a pencil and paid a total of $2.34 dollars, and some of the $50$ fifth graders each bought a pencil and paid a total of $3.25 dollars, determine the difference in the number of fifth graders and eighth graders who bought a pencil.

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