
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 Garfield Super Winners play  $100$  games of foosball, in which teams score a non-negative integer number of points and the team with more points after ten minutes wins (if both teams have the same number of points, it is a draw). Suppose that the Garfield Super Winners score an average of  $7$  points per game but allow an average of  $8$  points per game. Given that the Garfield Super Winners never won or lost by more than  $10$ , what is the largest possible number of games that they could win?

*2019 CCA Math Bonanza Lightning Round #4.1*

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