
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
To beautify the surrounding environment, the community purchased two different varieties of flower seedlings, $A$ and $B$. It is known that the unit price of type $A$ flower seedlings is $1.5$ yuan more than the unit price of type $B$ flower seedlings, and the quantity of type $A$ flower seedlings purchased with $8000$ yuan is the same as the quantity of type $B$ flower seedlings purchased with $5000$ yuan.
$(1)$ Find the unit prices of type $A$ and type $B$ flower seedlings.
$(2)$ According to the actual situation, the community needs to purchase some additional flower seedlings. The quantity of type $B$ flower seedlings purchased is twice the quantity of type $A$ flower seedlings purchased. If the total cost of the additional purchase does not exceed $7200$ yuan, find the maximum number of type $A$ flower seedlings that can be purchased additionally.

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