
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 certain community plans to purchase two types of flowers, $A$ and $B$, in two separate purchases to green the environment. In the first purchase, they bought 30 plants of type $A$ and 15 plants of type $B$ for a total of 675 yuan. In the second purchase, they bought 12 plants of type $A$ and 5 plants of type $B$ for a total of 265 yuan (the prices of types $A$ and $B$ are the same in both purchases).

1. Find the price per plant for types $A$ and $B$ respectively.
2. If a total of 31 plants of types $A$ and $B$ are purchased, and the number of type $B$ plants is less than twice the number of type $A$ plants, design the most cost-effective plan and calculate the cost of that plan.

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