document.write( "Question 164020: 1500 theater tickets were sold for a performance. Genaeral admission was $12 but student rates offered a 50% discount.Box office recepits totaled $16,200. How many students attended? please show work thanks \n" ); document.write( "
Algebra.Com's Answer #120856 by alicealc(293)\"\" \"About 
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Let:
\n" ); document.write( " number of students = x
\n" ); document.write( " number of non-students = y\r
\n" ); document.write( "\n" ); document.write( "the students got 50% discount, so the price for the students will be:
\n" ); document.write( " (100 - 50)/100 * $12 = $6\r
\n" ); document.write( "\n" ); document.write( "so the linear equation system is:
\n" ); document.write( " x + y = 1500
\n" ); document.write( " 6x + 12y = 16200\r
\n" ); document.write( "\n" ); document.write( "use the elimination process, multiply the first equation by 6, then we get:
\n" ); document.write( " 6x + 6y = 9000
\n" ); document.write( " 6x + 12y = 16200 -
\n" ); document.write( "-------------------
\n" ); document.write( " -6y = -7200
\n" ); document.write( " y = 7200/6 = 1200\r
\n" ); document.write( "\n" ); document.write( "substitute the value of y to the first equation:
\n" ); document.write( " x + y = 1500
\n" ); document.write( "<=> x = 1500 - 1200 = 300\r
\n" ); document.write( "\n" ); document.write( "so there are 300 students attended the show.\r
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