document.write( "Question 297277: Sammy sold 700 tickets totaling $13330. If the tickets were $25 adi;ts amd $15 students, how many of each ticket did Sammy sell?
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Algebra.Com's Answer #214087 by josmiceli(19441) $\"\"$ $\"About$

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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) $\"a+%2B+s+=+700\"$
\n" ); document.write( "(2) $\"25a+%2B+15s+=+13330\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"15\"$ and
\n" ); document.write( "subtract from (2)
\n" ); document.write( " $\"25a+%2B+15s+=+13330\"$
\n" ); document.write( " $\"-15a+-+15s+=+-10500\"$
\n" ); document.write( " $\"10a+=+2830\"$
\n" ); document.write( " $\"a+=+283\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"a+%2B+s+=+700\"$
\n" ); document.write( " $\"s+=+700+-+283\"$
\n" ); document.write( " $\"s+=+417\"$
\n" ); document.write( "Sammy sold 283 adult and 417 student tickets
\n" ); document.write( "check:
\n" ); document.write( " $\"25%2A283+%2B+15%2A417+=+13330\"$
\n" ); document.write( " $\"7075+%2B+6255+=+13330\"$
\n" ); document.write( " $\"13330+=+13330\"$
\n" ); document.write( "OK\r
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