document.write( "Question 1066344: A theatre contains 459 seats and the ticket prices for a recent play were $53 for adults and $16 for children. If the total proceeds were $13,930 for a sold out matinee, how many of each type of ticket were sold?
\n" ); document.write( "Adult tickets was=
\n" ); document.write( "Children tickets was= \n" ); document.write( "
Algebra.Com's Answer #681708 by Bay0913(3)\"\" \"About 
You can put this solution on YOUR website!
alright, so we have two variables, tickets for children and tickets for adults.
\n" ); document.write( "Set up the variables.\r
\n" ); document.write( "\n" ); document.write( "Children---> 16x
\n" ); document.write( "Adult--->53y\r
\n" ); document.write( "\n" ); document.write( "x+y=459
\n" ); document.write( "16x+53y=13,930\r
\n" ); document.write( "\n" ); document.write( "do Substitution
\n" ); document.write( "x=459-y
\n" ); document.write( "plug it in the second equation\r
\n" ); document.write( "\n" ); document.write( "16(459-y)+53y=13930\r
\n" ); document.write( "\n" ); document.write( "7344-16y+53y=13930
\n" ); document.write( "7344+37y=13930
\n" ); document.write( "6586=37y
\n" ); document.write( "y=178
\n" ); document.write( "x+178=459
\n" ); document.write( "x=281\r
\n" ); document.write( "\n" ); document.write( "281 Children Tickets
\n" ); document.write( "178 Adult Tickets\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );