how much was the total hotel charge in each city before tax

Question

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500

 lower than in the first. The tax in the first city was 3%

, and the tax in the second city was 5.5%

. The total hotel tax paid for the two cities was $333.75

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

Answer 1

s = f - 500

0.03f + 0.055s = 333.75

0.03f + 0.055(f - 500) = 333.75

Can you solve for f and answer?