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Question

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
6%
, and the tax in the second city was
9.5%
. The total hotel tax paid for the two cities was
$563.75
. How much was the hotel charge in each city before tax?

Answer 1

 

X is the price of the first hotel visit.

 

6% = 0.06

9.5% = 0.095

 

0.06*X + 0.095*(X-1000) = 563.75

 

0.06X + 0.095*X - 95 = 563.75

 

0.155X - 95 = 563.75

 

0.155X = 563.75 + 95

 

0.155X = 658.75

 

155X = 658750

 

X = 658750/155 = 4250

 

The first hotel visit costs $4250

 

The second hotel visit costs $3250

 

CHECK:

6% of 4250 + 9.5% of 3250 = 0.06*4250 + 0.095 * 3250 = 563.75