Peter buys a small wind turbine for use on his farm. It generates 13,000 kWh of electricity in the first year. He uses 7,570 kWh of electricity and sells the remaining kWh to his energy suppliers. He receives £412.68 for the electricity he sells. How much does he get for each kWh he produces?

Question

Mathematics

Gloria

22 September, 18:45

Peter buys a small wind turbine for use on his farm. It generates 13,000 kWh of electricity in the first year. He uses 7,570 kWh of electricity and sells the remaining kWh to his energy suppliers. He receives £412.68 for the electricity he sells. How much does he get for each kWh he produces?

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Answers (1)

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Kelvin Oconnor · Answer 1

Peter gets £13.158 for each kWh of electricity he produces.

Step-by-step explanation:

Peter buys a small wind turbine

Total electricity produced by wind turbine in first year = 13,000 kWh

Total electricity used by Peter = 7570 kWh

Electricity sold to energy suppliers = ?

Total amount of money he gets after selling x electricity to energy suppliers = £412.68

We can se that:

Total electricity produced = Electricity used by Peter + Electricity sold by Peter

Electricity sold by Peter = Total Electricity produced - Electricity used by Peter

Electricity sold by Peter = 13,000 kWh - 7570 kWh = 5430 kWh

Total amount earned = £412.68

So

Price per kWh = Electricity sold by Peter/Total Amount earned

Price per kWh = 5430/412.68

Price per kWh = £13.158