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Difficulty: MediumRatio, Proportion, and Percent Calculations

The table below presents operational metrics and financial allocations for six municipal water treatment facilities in 2025.

FacilityTotal Water Processed (Million Gallons)Recycled Water (Million Gallons)Distribution Loss Rate (%)Annual Operating Budget ($ Millions)
Alton450908%18.0
Belton60015012%21.0
Colton350706%14.0
Dalton70021015%22.4
Easton50013010%17.5
Fulton400805%16.0

For the facility with the lowest operating budget per million gallons of total water processed, what percentage of its total processed water was recycled?

Answer: 30 %

Answer

30%
Evaluating the unit budget per million gallons processed across all facilities reveals that Dalton has the lowest operating rate at 22.4M/700 MG=$0.0320M / MG22.4\text{M} / 700\text{ MG} = \$0.0320\text{M / MG}. Computing the percentage of total processed water that was recycled for Dalton gives (210/700)×100%=30%(210 / 700) \times 100\% = 30\%.

Step-by-Step Solution

1
Calculate operating budget per million gallons processed for each facility to determine unit cost.
Alton = 0.0400; Belton = 0.0350; Colton = 0.0400; Dalton = 0.0320; Easton = 0.0350; Fulton = 0.0400 ($M per MG).
To identify which facility operates with the lowest financial cost per unit of water processed.
2
Identify the minimum unit cost value among all six facilities.
Dalton has the lowest operating budget per million gallons ($0.0320M per MG).
Dalton satisfies the condition of having the lowest operating budget per million gallons processed.
3
Divide Dalton's recycled water volume by its total processed water volume and express as a percentage.
(210 / 700) * 100% = 30%.
To find the specific proportion of recycled water relative to total processed water at the identified facility.

Key Concept

Unit Rate Comparison and Percentage Calculation from Tabular Data
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Topics

Ratio, Proportion, and Percent Calculations

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