document.write( "Question 545063: tickets for a concert were priced at $9 for students and $11 for nonstudents. there were 2,000 tickets sold for a total of $20,960. how many student ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #355404 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = number of student tickets sold
\n" ); document.write( "Let $\"n\"$ = number of non-student tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+s+%2B+n+=+2000+\"$
\n" ); document.write( "(2) $\"+9s+%2B+11n+=+20960+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides of (1) by $\"9\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+9s+%2B+11n+=+20960+\"$
\n" ); document.write( "(1) $\"+-9s+-+9n+=+-18000+\"$
\n" ); document.write( " $\"+2n+=+2960+\"$
\n" ); document.write( " $\"+n+=+1480+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+s+%2B+n+=+2000+\"$
\n" ); document.write( "(1) $\"+s+%2B+1480+=+2000+\"$
\n" ); document.write( "(1) $\"+s+=+520+\"$
\n" ); document.write( "520 student tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+9%2A520+%2B+11%2A1480+=+20960+\"$
\n" ); document.write( "(2) $\"+4680+%2B+16280+=+20960+\"$
\n" ); document.write( "(2) $\"+20960+=+20960+\"$
\n" ); document.write( "OK \n" ); document.write( "

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