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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 5% . The total hotel tax paid for the two cities was $575 . How much was the hotel charge in each city before tax?

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sqdancefan

Answer:

  • $5000 in the first city
  • $4000 in the second city

Step-by-step explanation:

Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...

... 7.5%·x +5%·(x -1000) = 575

... 12.5%·x = 625 . . . . simplify, add 50

... x = 5000 . . . . . . . . divide by 12.5% (=0.125)

The first-city charge was $5000; the second-city charge was $4000.

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