
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
On March 23, 2022, the second lesson of "Heavenly Officials Classroom" was held at the Chinese space station, and the exciting live broadcast inspired students to explore the mysteries of science. To meet the needs of the students and enrich the experimental projects of the physics interest group, a certain high school decided to purchase two sets of physics experiment kits, $A$ and $B$. The price of kit $A$ is $1.2$ times the price of kit $B$. The number of kit $A$ purchased with $9900$ yuan is $5$ more than the number of kit $B$ purchased with $7500$ yuan. Find the prices of kits $A$ and $B$ respectively.

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