document.write( "Question 783440: Ariel purchased x student tickets for $7 each and y adult tickets for $9 each at the movie theater. She spent a total of $120 and bought 16 tickets in all. The system of equations shown below can be used to determine how many of each type of ticket Ariel purchased.\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #476761 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! x + y = 16...1 \n" ); document.write( "7x + 9y = 120...2 \n" ); document.write( "Multiply (1) by 9 \n" ); document.write( "9x + 9y = 144...3 \n" ); document.write( "7x + 9y = 120...2 \n" ); document.write( "Subtract (2) from (3) \n" ); document.write( "2x = 24 \n" ); document.write( " x = 12 \n" ); document.write( "Substitute x = 12 into (1) \n" ); document.write( "12 + y = 16 \n" ); document.write( " y = 16 - 12 \n" ); document.write( " y = 4 \n" ); document.write( "Ariel purchased 12 Student \n" ); document.write( "tickets and 4 Adult tickets \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |