
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
Ecological priority, green development, let the beautiful earth add more "Chinese green". A certain community purchased two types of seedlings, A and B, to focus on "park greening". The community spent $1200$ yuan on type A seedlings and $900$ yuan on type B seedlings. The unit price of type A seedlings is $1.5$ times that of type B seedlings, and the number of type A seedlings purchased is $10$ less than the number of type B seedlings.  
$(1)$ Find the unit prices of type A and type B seedlings, respectively.  
$(2)$ To expand the greening area of the park, the community is preparing to purchase a total of $100$ type A and type B seedlings. If the total amount does not exceed $1314$ yuan, how many type B seedlings should be purchased at least?

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