document.write( "Question 1043247: For a school play, students tickets cost 40 cents and adults tickets were 75 cents .the total receipts for 90 tickets were $46.50 .how many of each kind were sold ? \n" ); document.write( "

Algebra.Com's Answer #658371 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "For a school play, students tickets cost 40 cents and adults tickets were 75 cents .the total receipts for 90 tickets were $46.50 .how many of each kind were sold ?
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document.write( "  x +   y =   90,   (1)   ( x is the number of students' tickets )\r\n" );
document.write( "40x + 75y = 4650.   (2)   ( y is what?)\r\n" );
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document.write( "Multiply the first equation by 40 (both sides). You will get an equivalent system\r\n" );
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document.write( "40x + 40y = 3600,   (1')\r\n" );
document.write( "40x + 75y = 4650.   (2')\r\n" );
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document.write( "Now distract equation (1') from equation (2'). You will get a single equation for y:\r\n" );
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document.write( "35y = 4650 - 3600,  or\r\n" );
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document.write( "35y = 1050.\r\n" );
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document.write( "Hence, y =  = 30.\r\n" );
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document.write( "Thus the number of adults' tickets is 30.\r\n" );
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document.write( "Now find the number of students' tickets.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The method I applied here is called the elimination method.\r
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\n" ); document.write( "\n" ); document.write( "The substitution method is also applicable. You can do it on your own.\r
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\n" ); document.write( "\n" ); document.write( "If you want to extend your knowledge, read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of a linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "    - Solving word problems using linear systems of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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