
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
In order to encourage water conservation, a water supply company has set the following pricing standards for tap water: For each household, the part of the monthly water usage not exceeding 10 cubic meters is charged at 0.45 yuan/cubic meter; the part exceeding 10 cubic meters but not exceeding 20 cubic meters is charged at 0.80 yuan/cubic meter; the part exceeding 20 cubic meters is charged at 1.50 yuan/cubic meter. In one month, household A paid 7.10 yuan more for water than household B, and household B paid 3.75 yuan more for water than household C. How much did households A, B, and C each pay for water in that month (water is charged by the whole cubic meter)?

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