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

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? $\newline$ dollars

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Multi-step problems with unit conversions

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?

\newline

dollars

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
Perform calculation for total water usage: Now, let's perform the calculation for the total water used. $\newline$ Total water used = $72 \, \text{liters/person} \times 6 \, \text{people} = 432 \, \text{liters}$
Calculate cost of water usage: Next, we need to calculate the cost of the water used. The cost of water is $0.20$ dollars per liter. $\newline$ Total cost $= \text{Total water used} \times \text{Cost per liter}$ $\newline$ Total cost $= 432 \text{ liters} \times 0.20 \text{ dollars/liter}$
Perform calculation for total cost: Now, let's perform the calculation for the total cost. $\newline$ Total cost = $432 \text{ liters} \times 0.20 \text{ dollars/liter} = 86.4 \text{ dollars}$

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