Word problem involving stuff

Question

A theater group made appearances in two cities. The hotel charge before tax in the second city was
$1000
higher than in the first. The tax in the first city was
5.5%
, and the tax in the second city was
6%
. The total hotel tax paid for the two cities was
$548.75
. How much was the hotel charge in each city before tax?

Answer 1

s = f + 1000

.055f + .06s = 548.75

 

.055f + .06(f + 1000) = 548.75

.055f + .06f + 60 = 548.75

.115f = 488.75

f = 4250

 

s = 4250 + 1000 = 5250