document.write( "Question 1088917: A movie theater charges $5 admission for an adult and $3 for a child. If 700
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Algebra.Com's Answer #703247 by ikleyn(52779) $\"\"$ $\"About$

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document.write( " a +  c =  700,    (1)   (a = # of adults; c = # of children)\r\n" );
document.write( "5a + 3c = 2900.    (2)\r\n" );
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document.write( "Express a = 700 - c from 1) and substitute it into equation (2). You will get\r\n" );
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document.write( "5*(700 - c) + 3c = 2900.\r\n" );
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document.write( "Simplify and solve for c:\r\n" );
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document.write( "3500 - 5c + 3c = 2900,\r\n" );
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document.write( "-2c = 2900 - 3500  ====>  -2c = - 600  ====>  c =  = 300.\r\n" );
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document.write( "Answer.  300 children and 700-300 = 400 adults.\r\n" );
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