SOLUTION: A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 6.5%, and the tax in

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 $500 lower than in the first. The tax in the first city was 6.5%, and the tax in       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 942136: A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 6.5%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $512.50. 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 bill in first city, before tax (dollars)
y = hotel bill in second city, before tax (dollars)
---
y = x - 500
0.065x + 0.095y = 512.50
---
put the system of linear equations into standard form
---
x - y = 500
0.065x + 0.095y = 512.50
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 3500
y = 3000
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---