
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
Liupanshui City, Leibo County, Sichuan Province is one of the few best ecological areas for high-quality navel oranges in China. After nearly 20 years of development, Leibo navel oranges have won the gold award several times at the Western China Agricultural Expo, and Leibo County has also been honored as the "number one county for high-quality navel oranges in China." In order to understand the market sales of Leibo navel oranges, a fruit merchant purchased Leibo navel oranges and Zizhong blood oranges for trial sales. In the trial sales, the fruit merchant sells the two fruits together. If 3 kilograms of Leibo navel oranges and 2 kilograms of Zizhong blood oranges are purchased, the total cost is 78 RMB; if 2 kilograms of Leibo navel oranges and 3 kilograms of Zizhong blood oranges are purchased, the total cost is 72 RMB.<br/>$(1)$ Find the price per kilogram of Leibo navel oranges and Zizhong blood oranges respectively.<br/>$(2)$ A customer wants to buy a total of 100 kilograms of these two fruits for no more than 1440 RMB, with a preference for buying more Leibo navel oranges. How many kilograms of Leibo navel oranges can the customer buy at most?

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