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A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 3%, and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $487.50. How much was the hotel charge in each city before tax? First city: Second city:

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Answer:

Step-by-step explanation:

Lets assume that x (First city) and x-500 (Second City)

[tex]x.\frac{3}{100} +(x-500)\frac{7.5}{100} =487.5\\\\\frac{3x+7.5x-3750}{100}=487.5\\ 10.5x=48750+3750\\10.5x=52500\\x=5000 (first city)\\5000-500(second city)\\[/tex]

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