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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 7.5%, and the tax in the second city was 9.5% . The total hotel tax paid for the two cities was $542.50. How much was the hotel charge in each city before tax?

 Mar 14, 2022
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Write as system: 

 

x = cost of first hotel

y = cost of second hotel

 

0.075x + 0.095y = 542.25

y = x - 1000

 

SOlving, we find \(\color{brown}\boxed{x=3,750, y = 2,750}\)

 Mar 14, 2022

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