document.write( "Question 189437: tickets sold for 3.50 and students sold for 2.50 321 tickets where sold altogether for the musical at total of 937.50. how many adult tickets where sold \n" ); document.write( "

Algebra.Com's Answer #142117 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = number of adult tickets sold
\n" ); document.write( "Let $\"s\"$ = number of student tickets sold
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+s+=+321\"$
\n" ); document.write( "(2) $\"3.5a+%2B+2.5s+=+937.5\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"2.5\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"3.5a+%2B+2.5s+=+937.5\"$
\n" ); document.write( "(1) $\"-2.5a+-+2.5s+=+-802.5\"$
\n" ); document.write( "(3) $\"a+=+135\"$
\n" ); document.write( "135 adult tickets were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"a+%2B+s+=+321\"$
\n" ); document.write( "(1) $\"135+%2B+s+=+321\"$
\n" ); document.write( "(1) $\"s+=+186\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"3.5a+%2B+2.5s+=+937.5\"$
\n" ); document.write( "(2) $\"3.5%2A135+%2B+2.5%2A186+=+937.5\"$
\n" ); document.write( "(2) $\"472.5+%2B+465+=+937.5\"$
\n" ); document.write( "(2) $\"937.5+=+937.5\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );