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 5%. The total hotel tax paid for the two cities was $501.25.

How much was the hotel charge in each city before tax?

Let the hotel charges before tax of the first hotel be x hotel charge before tax in the second city = x-1000 taxes paid in the first city = 5.5% = 0.055x tax paid in the second city = 5% = .05x - 50 total hotel tax paid for the two cities was $501.25 so, 0.055x+0.05x -50 = 501.25 so, 0.105x = 551.25 x = $5250 hotel charges in second city = 5250-1000 = $4250

Answered by soniaagarwal09 | 2024-06-10

The hotel charge before tax in the first city is approximately $5250, while in the second city, it is approximately $4250. This is based on the tax rates of 5.5% and 5% for the respective cities, and a difference of $1000 in hotel charges. The total tax paid for both hotels sums up to $501.25.
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Answered by soniaagarwal09 | 2025-06-15