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Question 1074137: A theater group made appearances in two cities. The hotel charge before tax in the second city was
$500
higher than in the first. The tax in the first city was
6.5%
, and the tax in the second city was
3%
. The total hotel tax paid for the two cities was
$513.75
. How much was the hotel charge in each city before tax?
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! Let the amount before tax at the first hotel be x
The amount at the second hotel will be x+500
:
0.065x+0.03(x+500) = 513.75
0.065x+0.03x+15 = 513.75
0.095x = 498.75
x = 5,250 this is for the first hotel.
The second hotel: 5,250+500 = 5,750
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Check:
1st city: 5,250*0.065 = 341.25
2nd city: 5,750*0.03 = 172.50
. . . . . . . Total . : 513.75 Correct
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