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 $.2$ dollars per liter. How much money did Trevor's family spend, in total, on shower water in the past month?

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Divide decimals by whole numbers: word problems

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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

.2

dollars per liter. 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. $\newline$ Each person used $72$ liters of water, and there are $6$ people in the family. $\newline$ Total water used $=$ Water used per person $\times$ Number of people $\newline$ Total water used $= 72$ liters/person $\times 6$ people
Calculate Total Cost: Now, let's perform the calculation to find the total water usage. $\newline$ Total water used = $72 \, \text{liters/person} \times 6 \, \text{people} = 432 \, \text{liters}$
Calculate Total Cost: Now, let's perform the calculation to find the total water usage. $\newline$ Total water used = $72 \, \text{liters/person} \times 6 \, \text{people} = 432 \, \text{liters}$ Next, we need to calculate the cost of the water used. The cost of water is $(\$)0.2$ per liter. $\newline$ Total cost = Total water used $\times$ Cost per liter $\newline$ Total cost = $432 \, \text{liters} \times (\$)0.2/\text{liter}$
Calculate Total Cost: Now, let's perform the calculation to find the total water usage. $\newline$ Total water used = $72 \, \text{liters/person} \times 6 \, \text{people} = 432 \, \text{liters}$ Next, we need to calculate the cost of the water used. The cost of water is $(\$)0.2$ per liter. $\newline$ Total cost = Total water used $\times$ Cost per liter $\newline$ Total cost = $432 \, \text{liters} \times (\$)0.2/\text{liter}$ Now, let's perform the calculation to find the total cost. $\newline$ Total cost = $432 \, \text{liters} \times (\$)0.2/\text{liter} = (\$)86.4$