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The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.
How much did Trevor's family pay per minute on shower water?
dollars per minute

The house Trevor's family lives in has 66 people (including Trevor) and 33 bathrooms. In the past month, each person showered for an average of 480480 minutes and used an average 7272 liters of shower water (over the entire month). Water costs 0.200.20 dollars per liter.\newlineHow much did Trevor's family pay per minute on shower water?\newlinedollars per minute

Full solution

Q. The house Trevor's family lives in has 66 people (including Trevor) and 33 bathrooms. In the past month, each person showered for an average of 480480 minutes and used an average 7272 liters of shower water (over the entire month). Water costs 0.200.20 dollars per liter.\newlineHow much did Trevor's family pay per minute on shower water?\newlinedollars per minute
  1. Calculate Total Water Used: First, we need to calculate the total amount of water used by Trevor's family for showering in the past month.\newlineTotal water used =Number of people×Average water used per person= \text{Number of people} \times \text{Average water used per person}\newlineTotal water used =6 people×72 liters/person= 6 \text{ people} \times 72 \text{ liters/person}\newlineTotal water used =432 liters= 432 \text{ liters}
  2. Calculate Total Cost: Next, we calculate the total cost of the water used by multiplying the total water used by the cost per liter.\newlineTotal cost = Total water used ×\times Cost per liter\newlineTotal cost = 432432 liters ×\times $0.20\$0.20/liter\newlineTotal cost = $86.40\$86.40
  3. Find Total Minutes Spent: Now, we need to find the total number of minutes spent showering by the family in the past month.\newlineTotal minutes =Number of people×Average minutes showered per person= \text{Number of people} \times \text{Average minutes showered per person}\newlineTotal minutes =6 people×480 minutes/person= 6 \text{ people} \times 480 \text{ minutes/person}\newlineTotal minutes =2,880 minutes= 2,880 \text{ minutes}
  4. Calculate Cost Per Minute: Finally, we calculate the cost per minute by dividing the total cost by the total number of minutes.\newlineCost per minute = Total costTotal minutes\frac{\text{Total cost}}{\text{Total minutes}} \newlineCost per minute = $86.402,880 minutes\frac{\$86.40}{2,880 \text{ minutes}} \newlineCost per minute = $0.03\$0.03 per minute

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