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In a certain community, the total amount of electricity used by all of the households during a 24-hour period was x kilowatts. If during that period the average (arithmetic mean) amount of electricity used per household per hour was y kilowatts, which of the following represents the number of households in the community?

Households = Total Electricity Used in 24 Hours/Electricity Used per Household in 24 hours

Total Electricity Used in 24 Hours = x

Electricity Used per Household in 24 hours = 24y

Households = x/24y

A. x/y

B. y/x

C. 24y/x

D. y/(24x)

E. x/(24y)


Correct answer: E
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In a certain community, the total amount of electricity used by all of the households during a 24-hour period was x kilowatts. If during that period the average (arithmetic mean) amount of electricity used per household per hour was y kilowatts, which of the following represents the number of households in the community?

A. x/y

B. y/x

C. 24y/x

D. y/(24x)

E. x/(24y)


Attachment:
2024-01-24_19-55-50.png
Average load of 24 hours * No. of houses (a) = total load of 24 hours [pay attention to highlighted parts]
(y*24) * a = x
ie. a = x/24y

Answer: Option E

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