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A theater group made appearances in two cities. The hotel charges before tax in the second city were 1500 lower than in the first. The tax on the hotel bill was 5.5% in the first city and 10% in the second. After the trip, the total tax paid on accommodation expenses was 431.25. How much was the hotel bill in the first city before tax?

i set it up like this :

x - y = 1500
.055x + .1y = 431.25

so i got x = 3750
y = 2250

but they ask for the charge before taxes so

3750 - 206.25 = 3543.75


  • math -


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