
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 fruit supermarket purchases grapes at a price of $3$ yuan per pound, and then sells them at a price of $5$ yuan per pound. It can sell 100 pounds per day. Through investigation, it was found that for this kind of grapes, for every decrease of $0.1$ yuan per pound in the selling price, an additional 20 pounds can be sold per day.  
$(1)$ If the selling price per pound of grapes is reduced by $x$ yuan, then the daily sales volume is ______ pounds (expressed as an algebraic expression containing $x$);  
$(2)$ In order for the supermarket to make a profit of $300$ yuan per day from selling these grapes, and to ensure that at least 220 pounds are sold per day, how much should the selling price per pound be reduced by?

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