A 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 8.5%. the total hotel tax paid for the two cities was $715 zhow much was the hotel charge in each city before tax?

Question

A 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 8.5%. the total hotel tax paid for the two cities was $715 zhow much was the hotel charge in each city before tax?

Answer 1

s = f + 1000

.055 f + .085 s = 715 ... 11 f + 17 s = 143000

substituting ... 11 f + 17 f + 17000 = 143000 ... 28 f = 126000

solve for f , then substitute back to find s