
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
(Solving equations and inequalities application problems)  
Water is the source of human life. In order to encourage residents to conserve water, relevant departments have implemented a tiered water pricing policy for residential water consumption. If the monthly water consumption per household does not exceed $10$ cubic meters, the price per cubic meter is charged according to the current residential water price (current residential water price = basic water price + sewage treatment fee); if the monthly water consumption per household exceeds $10$ cubic meters, the excess amount is charged at a 100% markup on the basic water price per cubic meter, and the sewage treatment fee per cubic meter remains the same.  
In April, User A used $8$ cubic meters of water and paid $27.6$ yuan for water; User B used $12$ cubic meters of water and paid $46.3 yuan for water. (Note: The number of cubic meters for sewage treatment is equal to the actual cubic meters of water used)  
(1) Find the basic water price and sewage treatment fee per cubic meter in yuan.  
(2) If a user plans not to exceed $64$ yuan for water in July, how many cubic meters of water can the user use at most in July?

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