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. $\newline$ How much money did Trevor's family spend, in total, on shower water in the past month?

Full solution

Q. 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.

\newline

How much money did Trevor's family spend, in total, on shower water in the past month?

Calculate Total Water Usage: First, we need to calculate the total amount of water used by Trevor's family for showering in the past month. Since each of the $6$ people used an average of $72$ liters of water, we multiply the number of people by the average water usage per person. $\newline$ Calculation: $6$ people $\times$ $72$ liters/person $=$ $432$ liters
Determine Total Cost: Next, we need to determine the total cost of the water used. We do this by multiplying the total water usage by the cost per liter. $\newline$ Calculation: $$432$ \, \text{liters} \times \$$0$.$20$/\text{liter} = \$$86$.$40$
Correct Calculation: However, we made a mistake in the previous step. We calculated the water usage for only one person, not for all six people. We need to correct this by multiplying the water usage per person by the number of people in the family.$\newline$Calculation: $72 \, \text{l} \text{iters/person} \times 6 \, \text{people} = 432 \, \text{l} \text{iters} \times 6 = 2592 \, \text{l} \text{iters}$