
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
To protect water resources and promote water conservation, a city implements a "tiered water pricing" system for residents' domestic water use. The billing method is shown in the table below. If a resident pays $60$ yuan for water in a certain month, then the amount of water used that month is ____ $m^{3}$.

| Monthly Water Usage per Household | Price |
|-----------------------------------|-------|
| Up to $12m^{3}$                    | $3$ yuan/$m^{3}$ |
| Over $12m^{3}$ but not exceeding $18m^{3}$ | $6$ yuan/$m^{3}$ |
| Over $18m^{3}$ | $9$ yuan/$m^{3}$ |

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