Question

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 6% and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $611.25. How much was the hotel charge in each city before tax?

Answer 1

Answer:$513.75

Explanation:

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