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 #833015 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is an informal solution method, using logical reasoning and mental arithmetic instead of formal algebra.

\n" ); document.write( "If all 400 tickets had been student discounted tickets, the total revenue would have been 400($25) = $10,000.
\n" ); document.write( "The actual total revenue was $11,200, which is $1200 more.
\n" ); document.write( "The difference in cost between the two kinds of tickets is $5; the number of regular price tickets needed to make up the additional $1200 is 1200/5 = 240.

\n" ); document.write( "ANSWER: 240 people purchased regular tickets.

\n" ); document.write( "CHECK: 240(30)+160(25) = 7200+4000 = 11200

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