document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201829>Question 1201829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first. The tax in the first city was 7%, and the tax in the second city was  8%. The total hotel tax paid for the two cities was $865. How much was the hotel charge in each city before tax? <BR>\n" );
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document.write( "Answer: <BR>\n" );
document.write( "first hotel's price before tax = <font color=red>$5500</font><BR>\n" );
document.write( "second hotel's price before tax = <font color=red>$6000</font>\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "x = first hotel price before tax<BR>\n" );
document.write( "x+500 = second hotel price before tax\r<BR>\n" );
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document.write( "7% of x = 0.07x = tax amount for first hotel<BR>\n" );
document.write( "8% of x+500 = 0.08(x+500) = 0.08x+40 = tax amount for second hotel\r<BR>\n" );
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document.write( "Combine the two tax amounts and we'll get $865<BR>\n" );
document.write( "tax1 + tax2 = 865<BR>\n" );
document.write( "(0.07x) + (0.08x+40) = 865<BR>\n" );
document.write( "0.15x+40 = 865<BR>\n" );
document.write( "0.15x = 865-40<BR>\n" );
document.write( "0.15x = 825<BR>\n" );
document.write( "x = <font color=red>5500</font><BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+500 = 5500+500 = <font color=red>6000</font><BR>\n" );
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