SOLUTION: thank you in advance here is the problem......... a theatre group made appearences in two cities.The hotel charges before tax in the second city were $1500 higher than in the first
Question 356970: thank you in advance here is the problem......... a theatre group made appearences in two cities.The hotel charges before tax in the second city were $1500 higher than in the first.The tax on the hotel bill was 9.5% in the first city and 6% in the second.After the trip,the total tax paid on accomodation expenses was $826.25.How much was the hotel bill in the first city before tax? Found 2 solutions by robertb, mananth:Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Let x = hotel charges before taxes in 1st city. Then x + 1500 = hotel charges before taxes in 2nd city.
Then , , , .
You can put this solution on YOUR website! a theatre group made appearences in two cities.The hotel charges before tax in the second city were $1500 higher than in the first.The tax on the hotel bill was 9.5% in the first city and 6% in the second.After the trip,the total tax paid on accomodation expenses was $826.25.How much was the hotel bill in the first city before tax?
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let the pre tax bill in first city be x
the pretax bill in second city = x+1500
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Tax in firts city = 9.5%
Tax in the second city = 6%
..
bill first city + bill second city = Total bill
x*(1.095)+(x+150)*1.06 = 826.25
1.095x+1.06x+159 =826.25
2.155x = 826.25-159
2.155x =667.25
x= 667.25/2.155
x=$309.62 pretax bill in first city
$459.62 pretax bill in second city
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m.ananth@hotmail.ca
