SOLUTION: A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 9.5%, and the tax in

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 9.5%, and the tax in      Log On


   



Question 934768: A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 9.5%, and the tax in the second city was 6.5% . The total hotel tax paid for the two cities was $695. How much was the hotel charge in each city before tax?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = hotel charge in city A before tax of 9.5%
y = hotel charge in city B before tax of 6.5%
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y = x - 1000
0.095x + 0.065y = 695
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put the system of linear equations into standard form
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x - y = 1000
0.095x + 0.065y = 695
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = hotel charge in city A before tax of 9.5% = 4750
y = hotel charge in city B before tax of 6.5% = 3750
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