document.write( "Question 418766: Tickets for a concert were priced at $3 for students and $5 for nonstudents. There were 1500 tickets sold for a total of $5000. How much revenue was generated from the sale of the student tickets? \n" ); document.write( "
Algebra.Com's Answer #293000 by duckness73(47)\"\" \"About 
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Let x = # student tickets sold
\n" ); document.write( "Let y = # non-student tickets sold
\n" ); document.write( "Therefore, x + y = 1500 which is the total number of tickets sold\r
\n" ); document.write( "\n" ); document.write( "If x = #student tickets sold, then 3x = revenue from student tickets
\n" ); document.write( "If y = #non-student tickets sold, then 5y = revenue from non-student tickets
\n" ); document.write( "Therefore 3x + 5y = 5000 which is the total revenue from all tickets\r
\n" ); document.write( "\n" ); document.write( "From the first equation: x = 1500 - y
\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( "3(1500 - y) + 5y = 5000
\n" ); document.write( "4500 - 3y + 5y = 5000
\n" ); document.write( "4500 + 2y = 5000
\n" ); document.write( "2y = 500
\n" ); document.write( "y = 250 which is the number of non-student tickets\r
\n" ); document.write( "\n" ); document.write( "Therefore x + 250 = 1500
\n" ); document.write( "x = 1250 which is the number of student tickets
\n" ); document.write( "and 3x = 3 * 1250 = $3750 is the total revenue from student tickets\r
\n" ); document.write( "\n" ); document.write( "Answer: $3750
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