document.write( "Question 476494: The Union Square Cinema charges $9 for an adult ticket and $4 for a child’s ticket. Last Saturday, the entire 1020 seat cinema was sold out. The total ticket receipts for the evening were $7680. How many of each type ticket were sold? \n" ); document.write( "
Algebra.Com's Answer #326679 by mananth(16946)![]() ![]() You can put this solution on YOUR website! $9 ticket x numbers \n" ); document.write( "$4 ticket y numbers \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 1020 .............1 \n" ); document.write( "9 x + 4 y = 7680 .............2 \n" ); document.write( " \n" ); document.write( "multiply (1)by -4 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-4 x -4 y = -4080 \n" ); document.write( "9 x + 4 y = 7680 \n" ); document.write( "Add the two equations \n" ); document.write( "5 x = 3600 \n" ); document.write( "/ 5 \n" ); document.write( "x = 720 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 1020 \n" ); document.write( "720 + 1 y = 1020 \n" ); document.write( " 1 y = 1020 -720 \n" ); document.write( " 1 y = 300 \n" ); document.write( " y = 300 \n" ); document.write( "$ 9 tickets 720 numbers \n" ); document.write( "$4 tickets 300 numbers\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |