A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 4.5%, and the tax in the second city was 6.5%. The total hotel tax paid for the two cities was $455. How much was the hotel charge in each city before tax?

Question

Mathematics

Trystan Morse

1 May, 13:49

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 4.5%, and the tax in the second city was 6.5%. The total hotel tax paid for the two cities was $455. How much was the hotel charge in each city before tax?

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Answers (2)

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Aimee Stevens · Answer 1

0.035x+0.045x=427.50

0.08x=427.50

x=427.50/0.08

x=5343.75

x+x+1500=5343.75

2x=5343.75-1500

2x=3843.75

x=1921.88 first

1921.88+1500=3421.88 second

Kendrick Merritt · Answer 2

Let charge before tax in first hotel be=x, in second hotel=x+1500

total tax=455

4.5x/100 + (9750+6.5) / 100=455

4.5x+9750+6.5x=45500

11x=35750

x=3250

charge infirst hotel=3250, second hotel=4750