document.write( "Question 1151127: Last year, Singer A performed five more than two times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 23. How many concert shows did each perform? \n" ); document.write( "

Algebra.Com's Answer #772758 by ikleyn(52926) $\"\"$ $\"About$

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document.write( "Last year . . . \r\n" );
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document.write( "    A = 2B + 5     (1)\r\n" );
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document.write( "The number . . . \r\n" );
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document.write( "    A = B + 23.    (2)\r\n" );
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document.write( "Equations (1) and (2) have the same left sides --- hence, their right sides are equal :\r\n" );
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document.write( "    2B + 5 = B + 23.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "    2B - B = 23 - 5\r\n" );
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document.write( "     B     = 18.\r\n" );
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document.write( "ANSWER.  B = 18,  A = B + 23 = 18+23 = 41.\r\n" );
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