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 6%, and the tax in the second city was 3%. The total hotel tax paid for the two cities was $480. How much was the hotel charge in each city before tax?

Answer 1

0.035x+0.045x=427.50
0.08x=427.50
x=427.50/0.08
x=5343.75



x+x+1500=5343.75
2x=5343.75-1500
2x=3843.75
x=1921.88 first
1921.88+1500=3421.88 second