Question

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 4.5% , and the tax in the second city was 6.5% . The total hotel tax paid for the two cities was $455 . How much was the hotel charge in each city before tax?

Answer 1

let charge before tax in first hotel be=x, in second hotel=x+1500
total tax=455
4.5x/100+(9750+6.5)/100=455
4.5x+9750+6.5x=45500
11x=35750
x=3250
charge infirst hotel=3250,second hotel=4750

Answer 2

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