document.write( "Question 122035: Q: For a particular event, 812 tickets were sold for a total of $1912. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?
\n" ); document.write( "Totally stumped!!!! \n" ); document.write( "

Algebra.Com's Answer #89579 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"s\"$ = number of students who bought tickets
\n" ); document.write( "Let $\"n\"$ = number of non-students who bought tickets
\n" ); document.write( " $\"2s+%2B+3n+=+1912\"$
\n" ); document.write( " $\"n+%2B+s+=+812\"$
\n" ); document.write( " $\"n+=+812+-+s\"$
\n" ); document.write( "substitute $\"n\"$ in terms of $\"s\"$ into first equation
\n" ); document.write( " $\"2s+%2B+3%28812+-+s%29+=+1912\"$
\n" ); document.write( " $\"2s+%2B+2436+-+3s+=+1912\"$
\n" ); document.write( " $\"s+=+2436+-+1912\"$
\n" ); document.write( " $\"s+=+524\"$ answer
\n" ); document.write( "check
\n" ); document.write( " $\"n+=+812+-+s\"$
\n" ); document.write( " $\"n+=+288\"$
\n" ); document.write( " $\"2s+%2B+3n+=+1912\"$
\n" ); document.write( " $\"2%2A524+%2B+3%2A288+=+1912\"$
\n" ); document.write( " $\"1048+%2B+864+=+1912\"$
\n" ); document.write( " $\"1912+=+1912\"$
\n" ); document.write( "OK \n" ); document.write( "

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