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 9%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $970.

How much was the hotel charge in each city before tax?

First city: $

Second city: $

Question

Madalynn Hancock

Mathematics

27 March, 20:53

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 9%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $970.

How much was the hotel charge in each city before tax?

First city: $

Second city: $

+4

Answers (1)

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Atticus Medina · Answer 1

Pre tax in first city = x

pre tax in 2nd city = x - 500

0.09x + 0.095 (x - 500) = 970

0.09x + 0.095x - 47.5 = 970

0.09x + 0.095x = 970 + 47.5

0.185x = 1017.50

x = 1017.50/0.185

x = 5500 < = = first city

5500 - 500 = 5000 < = = 2nd city