
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
Arnold has plates weighing  $5$ ,  $15$ ,  $25$ ,  $35$ , or  $45$  pounds. He lifts a barbell, which consists of a  $45$ -pound bar and any number of plates that he has. Vlad looks at Arnold's bar and is impressed to see him bench-press  $600$  pounds. Unfortunately, Vlad mistook each plate on Arnold's bar for the plate one size heavier, and Arnold was actually lifting  $470$  pounds. How many plates did Arnold have on the bar?

*2018 CCA Math Bonanza Team Round #2*

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