document.write( "Question 940579: A theater group made appearances in two cities. The hotel charge before tax in the second city was
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document.write( "$1500
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document.write( " higher than in the first. The tax in the first city was
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document.write( "7.5%
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document.write( " , and the tax in the second city was
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document.write( "4%
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document.write( " . The total hotel tax paid for the two cities was
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document.write( "$548.75
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document.write( " . How much was the hotel charge in each city before tax? \n" );
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Algebra.Com's Answer #573351 by macston(5194)![]() ![]() You can put this solution on YOUR website! total tax paid=$548.75 \n" ); document.write( "tax on higher portion of bill in second city =.04 x $1500=$60 \n" ); document.write( "Tax on equal expenses in both cities=$548.75-$60=$488.75 \n" ); document.write( "percentage of tax for first city=7.5/11.5x100%=65.22% \n" ); document.write( "First city share of taxes on equal expenses=(.6522)$488.75=$318.75 \n" ); document.write( "second city share of taxes on equal expenses=$488.75-$318.67=$170.00 \n" ); document.write( "Total tax to second city $170.00 + $60.00=$230.00 \n" ); document.write( "total taxed in city DISABLED_event_one= City 1 taxes/tax rate=$318.75/.075=$4250 \n" ); document.write( "total taxed in city 2=City 2 taxes/tax rate=$230.00/.04=$5750 \n" ); document.write( "Amount before tax City 1=$4250 \n" ); document.write( "Amount before tax City 2=$5750 \n" ); document.write( "CHECK: \n" ); document.write( "Charge before tax in city 2 was $1500 higher \n" ); document.write( "City 2 amount-City 1 amount=$1500 \n" ); document.write( "$5750-$4250=$1500 \n" ); document.write( "$1500=$1500 \n" ); document.write( " |