SOLUTION: 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 3.5%, and the tax i

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: 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 3.5%, and the tax i      Log On

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Question 600643: 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 3.5%, and the tax in the second city was 4.5%. The total hotel tax paid for the two cities was 427.50. How much was the hotel charge in each city before tax?
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
0.035x+0.045x=427.50
0.08x=427.50
x=427.50/0.08
x=5343.75
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x+x+1500=5343.75
2x=5343.75-1500
2x=3843.75
x=1921.88 first
1921.88+1500=3421.88 second