document.write( "Question 1025525: A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 5.5% , and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $570 . How much was the hotel charge in each city before tax? \n" ); document.write( "

Algebra.Com's Answer #640810 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = hotel charge before tax in 1st city
\n" ); document.write( " $\"+x+-+1500+\"$ = hotel charge before tax in 2nd city
\n" ); document.write( "------------------
\n" ); document.write( " $\"+.055x+%2B+.075%2A%28+x+-+1500+%29+=+570+\"$
\n" ); document.write( " $\"+.055x+%2B+.075x+-+112.5+=+570+\"$
\n" ); document.write( " $\"+.13x+=+682.5+\"$
\n" ); document.write( " $\"+x+=+5250+\"$
\n" ); document.write( " $\"+x+-+1500+=+3750+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "$5250 = hotel charge before tax in 1st city
\n" ); document.write( "$3750 = hotel charge before tax in 2nd city
\n" ); document.write( "------------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+.055x+%2B+.075%2A%28+x+-+1500+%29+=+570+\"$
\n" ); document.write( " $\"+.055%2A5250+%2B+.075%2A3750+=+570+\"$
\n" ); document.write( " $\"+288.75+%2B+281.25+=+570+\"$
\n" ); document.write( " $\"+570+=+570+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );