a theater group made appearances in two cities. the hotel charge before tax in the second city was $500 higher 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 $388.75. how much was the hotel charge in each city before tax?

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field