A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first.

Question

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
8.5%
, and the tax in the second city was
5%
. The total hotel tax paid for the two cities was
$463.75
. How much was the hotel charge in each city before tax?

 

first city: 

 

second city:

Answer 1

0.08X + 0.05Y = 463.75

 

Y = X+500

 

0.085X + 0.05(X + 500) = 463.75

 

0.085X + 0.05X + 25 = 463.75

 

0.135X = 438.75

 

X = 3250

 

Y = 3750