document.write( "Question 1199241: a concert results in $11,200 in revenue from selling 400 tickets. a regular ticket costs $30, and the student discounted ticket costs $25. how many people purchased tickets at the regular price? \n" ); document.write( "
Algebra.Com's Answer #833014 by Theo(13342)\"\" \"About 
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x = the number of regular tickets.
\n" ); document.write( "y = the number of discounted tickets.
\n" ); document.write( "your equations are:
\n" ); document.write( "x + y = 400
\n" ); document.write( "30x + 25y = 11200
\n" ); document.write( "these two equations need to be solved simultaneously.
\n" ); document.write( "multiply both sides of the first equation by 30 and leave the second equation as is to get:
\n" ); document.write( "30x + 30y = 12000
\n" ); document.write( "30x + 25y = 11200
\n" ); document.write( "subtract the second equation from the first to get:
\n" ); document.write( "5y = 800
\n" ); document.write( "solve for y to get:
\n" ); document.write( "y = 800/5 = 160
\n" ); document.write( "since x + y = 400, then x = 240
\n" ); document.write( "your solution is that 240 adult tickets were sold and 160 discount tickets were sold.
\n" ); document.write( "x + y = 400 becomes 240 + 160 = 400 which is true.
\n" ); document.write( "30x + 25y = 11200 becomes 30 * 240 + 25 * 160 = 11200 which is true.
\n" ); document.write( "solution is confirmed to be good.
\n" ); document.write( "required solution is that 240 tickets were purchased at the regular price.\r
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