
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 farmer wants to buy rabbits and chickens with a total of $1125$. If each rabbit costs $30 and each chicken costs $45, determine how many of each the farmer can buy assuming that the number of rabbits $r$ and the number of chickens $c$ are both positive integers.
A) 3 rabbits and 23 chickens
B) 5 rabbits and 20 chickens
C) 4 rabbits and 25 chickens
D) 6 rabbits and 22 chickens

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