
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
A group of students buys tickets for a musical show. The group of 11th graders spends a total of $210, while the group of 12th graders spends a total of $280. Each ticket costs the same whole number dollar amount, $y$. Determine how many values for $y$ are possible.
A) 3
B) 5
C) 7
D) 8
E) 10

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