The following table shows a particular household’s consumption of electricity (in kWh), gas (in kWh)

Question

The following table shows a particular household’s consumption of electricity (in kWh), gas (in kWh) and water (in $m^3$) in the months of January, February and March.

Month	Consumption of electricity (in kWh)	Consumption of gas (in kWh)	Consumption of water (in $m^3$)
January	$568$	$97$	$19.9$
February	$493$	$86$	$15.7$
March	$474$	$71$	$17.8$

The utility bills for January, February and March are $\$205.92$, $\$176.75$ and $\$171.37$ respectively.

Find the unit cost for electricity, gas and water, giving your answers to the nearest cent.[3]
To cover the costs of water treatment, a $50\%$ water tax has been included in the unit cost for water found in (a). Find the unit cost of water if the water tax is excluded, giving your answer to the nearest cent.
[1]

Accepted Answer

Electricity $$0.27$ per kWh, gas $$0.23$ per kWh and water $$1.52$ per $\mathrm{m}^3$; water before tax $$1.02$ per $\mathrm{m}^3$

Month	Consumption of electricity (in kWh)	Consumption of gas (in kWh)	Consumption of water (in \(m^3\))
January	\(568\)	\(97\)	\(19.9\)
February	\(493\)	\(86\)	\(15.7\)
March	\(474\)	\(71\)	\(17.8\)

2025 YIJC Promo Q1

2025 YIJC Promo Q1

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