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Luke receives an electric bill of $84.21 for the month of Ap...
SAT-math-test SAT math
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Luke receives an electric bill of $84.21 for the month of April. The electric company charges $0.14 per kilowatt-hour (KWh) of electricity. Given that April has 30 days, about how many kilowatt-hours did Luke use per day during the month of April?

A. 12 KWh

B. 20 KWh

C. 26 KWh

D. 30 KWh

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peter
Asked by peterrep:1.7K
University of Lagos Nigeria
19 November 2020

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james_mark
James_mark answeredrep:736
School not set Nigeria
20 November 2020
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First, convert 30 days to hour.

Since 1 day = 24 hours

      30 day = x

cross multiply

x day = 720 day hour

divide both sides by 1 day

x = 720 hours

Thus, 30 days = 720 hours

Next,

since $0.14 = 1 KWh

        $84.21 = x

cross multiply

$0.14x = $84.21 KWh

divide both sides by $0.14

x = 601.5 KWh

Thus, for 30 days (720 hours), the company charges 601.5 KWh.

Similarly, if Luke uses x KWh per day, and 601.5 KWh per 30 days,

601.5 KWh = 720 hours

       x          =  24 hours [beacause 24 hours is equivalent to 1 day)

cross multiply

720x hours = 14,436 KWh hours

divide both sides by 720 hours

x = 20.05 KWh

Therefore, Luke uses 20 KWh per day

Answer: B

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