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12 January, 04:46

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 5.5%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $430. How much was the hotel charge in each city before tax?

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  1. 12 January, 05:52
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    The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

    tep-by-step explanation:

    Let a = the charge in 1st city before taxes

    Let b = the charge in 2nd city before taxes

    Based on the information given. We can have the following equation (1).

    y = x - 1500 ... (1).

    Interms of the information given, the following is formulated based on taxed paid.

    0.065x + 0.06y = 378.75 ... (2).

    Now we substitute equation (1) into (2).

    0.065x + 0.06 (x - 1500) = 378.75

    0.065x + 0.06x - 90 = 378.75

    0.125x - 90 = 378.75

    0.125x = 468.75

    Therefor x=3750

    Now x value into equation (1)

    y = 3750 - 1500

    y = 2250

    The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.
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