document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #254918 by mananth(16949) 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? \n" ); document.write( "... \n" ); document.write( "let the pre tax bill in first city be x \n" ); document.write( "the pretax bill in second city = x+1500 \n" ); document.write( "... \n" ); document.write( "Tax in firts city = 9.5% \n" ); document.write( "Tax in the second city = 6% \n" ); document.write( ".. \n" ); document.write( "bill first city + bill second city = Total bill \n" ); document.write( "x*(1.095)+(x+150)*1.06 = 826.25 \n" ); document.write( "1.095x+1.06x+159 =826.25 \n" ); document.write( "2.155x = 826.25-159 \n" ); document.write( "2.155x =667.25 \n" ); document.write( "x= 667.25/2.155 \n" ); document.write( "x=$309.62 pretax bill in first city \n" ); document.write( "$459.62 pretax bill in second city \n" ); document.write( ".... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |