document.write( "Question 182065: Two of the top grossing concert tours were by a jazz band and a rock band. Together the two tours visited 174 cities. The jazz band visited 96 cities more than the rock band.\r
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document.write( "How many cities did each group visit.\r
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document.write( "Jazz band _____
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document.write( "Rock band _____ \n" );
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Algebra.Com's Answer #136741 by mastermath(14)![]() ![]() ![]() You can put this solution on YOUR website! Let the number of cities visited by Rock band be x. \n" ); document.write( "The jazz band visited 96 cities more than the rock band. \n" ); document.write( "So, the number of cities visited by Jazz band will be (x+96). \n" ); document.write( "Together the two tours visited 174 cities.\r \n" ); document.write( "\n" ); document.write( "So, add them together.\r \n" ); document.write( "\n" ); document.write( "Rock + Jazz = 174 \n" ); document.write( "x+(x+96)=174 \n" ); document.write( "2x+96=174\r \n" ); document.write( "\n" ); document.write( "Now, subtract 96 on both the sides \n" ); document.write( "2x+96-96=174-96 \n" ); document.write( "2x=78\r \n" ); document.write( "\n" ); document.write( "Now, divide with 2 on both the sides \n" ); document.write( "x=39\r \n" ); document.write( "\n" ); document.write( "Thus, x+96 = 39+96 =135. \n" ); document.write( "So, the number of cities visited by Rock band is 39. \n" ); document.write( "And the number of cities visited by Jazz band is 135. \n" ); document.write( " \n" ); document.write( " |