document.write( "Question 686675: There were 213 tickets sold to a school dance. Tickets cost $5 with an activity sticker and $8 without. Tickets sales totaled $1,254. Find the number of each type of ticket sold. \n" ); document.write( "

Algebra.Com's Answer #424866 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = number of $5 tickets bought
\n" ); document.write( "Let $\"+b+\"$ = number of $8 tickets bought
\n" ); document.write( "-----------
\n" ); document.write( "(1) $\"+a+%2B+b+=213+\"$
\n" ); document.write( "(2) $\"+5a+%2B+8b+=+1254+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+5+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+8b+=+1254+\"$
\n" ); document.write( "(1) $\"+-5a+-+5b+=+-1065+\"$
\n" ); document.write( " $\"+3b+=+189+\"$
\n" ); document.write( " $\"+b+=+63+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=213+\"$
\n" ); document.write( "(1) $\"+a+%2B+63+=213+\"$
\n" ); document.write( "(1) $\"+a+=+150+\"$
\n" ); document.write( "150 $5 tickets were bought
\n" ); document.write( "63 $8 tickets were bought
\n" ); document.write( " \n" ); document.write( "

\n" );