document.write( "Question 1160182: The income of a student production was $32,500. The price of a student ticket was $10, and the nonstudents tickets were sold at $15 each. Three thousand tickets were sold. How many tickets of each kind were sold? \n" ); document.write( "

Algebra.Com's Answer #783386 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "Let x be number of student tickets
\n" ); document.write( "and y be number of non student tickets
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\n" ); document.write( "x + y = 3000.00
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\n" ); document.write( "10.00 x + 15.00 y = 32500.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -15.00
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-15.00 x -15.00 y = -45000.00
\n" ); document.write( "10.00 x 15.00 y = 32500.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-5.00 x = -12500.00
\n" ); document.write( "/ -5.00
\n" ); document.write( "x = 2500.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 3000.00
\n" ); document.write( "2500.00 + 1.00 y = 3000.00
\n" ); document.write( " 1.00 y = 500.00
\n" ); document.write( " y = 500.00
\n" ); document.write( "Ans x = 2500.00
\n" ); document.write( " y = 500.00
\n" ); document.write( " 2500 number of student tickets
\n" ); document.write( " 500 number of non student tickets
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