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?
+2668 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 \(\color{brown}\boxed{x=3,750, y = 2,750}\)
