document.write( "Question 1114919: 584 tickets have been sold for the schools play. An adult ticket costs $5 and a student ticket costs $3. The total ticket sales are $2112. Use a system of equations to solve for the number of student tickets that have been sold to the play. \n" ); document.write( "

Algebra.Com's Answer #729833 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "It is not a rational way to solve this problem using system of equations.\r\n" );
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document.write( "Since the problem asks for only ONE unknown (\"the number of student tickets\"), it is much more reasonable, simple and straightforward way \r\n" );
document.write( "to solve it using a single equation for only one unknown x, which is the number of student tickets.\r\n" );
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document.write( "The equation is \r\n" );
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document.write( "3x  + 5*(584-x) = 2112.\r\n" );
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document.write( "3x + 5*584 - 5x = 2112\r\n" );
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document.write( "-2x = 2112 - 5*584 = -808  ====>  x =  = 404.\r\n" );
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document.write( "Answer.  The number of student tickets sold is 404.\r\n" );
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\n" ); document.write( "It is a standard ticket problem.\r
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\n" ); document.write( "\n" ); document.write( "Read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
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\n" ); document.write( "\n" ); document.write( "Learn from these lessons on how to solve such problems once for all.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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