help needed on tax question

Question

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 4% , and the tax in the second city was 7.5%. The total hotel tax paid for the two cities was $557.50. How much was the hotel charge in each city before tax?

First city

Second city

Answer 1

c represents the charge on the first hotel

c - 1000 represents the charge on the second hotel

0.04c + 0.075(c - 1000) = 557.50

0.04c + 0.075c - 75 = 557.50

0.115c = 632.50

c = 5500

Can you calculate the tax?