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23 June, 14:35

One month, a homeowner used 150 units of gas and 520 units of electric for a total cost of $84.20. The next month, 210 units of gas and 405 units of electric were used for a total cost of $82.35. Find the cost per unit of gas and electric using substitution.

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  1. 23 June, 16:26
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    Let g represent the cost of gas and e represent the cost of electricity.

    150g + 520e = 84.20 ⇒ 7 (150g + 520e = 84.20) ⇒ 1050g + 3640e = 576.80

    210g + 405e = 82.35 ⇒ - 5 (210g + 405e = 82.35) ⇒ - 1050g - 2025e = - 411.75

    1615e = 165.05

    e = 0.10

    150g + 520 (0.10) = 84.20

    150g + 52 = 84.20

    140g = 32.20

    g = 0.23

    Answer: gas = $0.23, electricity = $0.10
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