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March 24, 2017

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Finances. During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $352. The next month, 400 units of electricity and 150 units of gas were used for a total cost of $304. Find the cost per unit of gas. Please show the work. Thanks

  • algebra - ,

    Two equations; two unknowns.
    500 x + 100 y = 352
    400 x + 150 y = 304.

    Solve for x and y.
    y is the cost per unit of gas.
    x is the cost per unit of electricity.

    2000 x + 750 y = 1520
    2000 x + 400 y = 1408
    350 y = 112
    y = $0.32 per unit
    x = $0.64 per unit

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