
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 ticket to a school concert costs $x$ dollars, where $x$ is a whole number. A group of 11th graders buys tickets costing a total of $60, and a group of 12th graders buys tickets costing a total of $90. How many values for $x$ are possible?
**A)** 4
**B)** 6
**C)** 7
**D)** 8
**E)** 9

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