document.write( "Question 67483: This is one of my problems that hopefully yall can help me on, \"Tickets for a football game cost $1.00 each if purchased before the day of the game. They cost $1.50 each if bought at the gate. For the homecoming game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate?\" Can yall help me please? \n" ); document.write( "
Algebra.Com's Answer #48016 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Tickets for a football game cost $1.00 each if purchased before the day of the game. They cost $1.50 each if bought at the gate. For the homecoming game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate?\" \n" ); document.write( ": \n" ); document.write( "Let x = number of gate tickets, ($1.50) \n" ); document.write( ": \n" ); document.write( "Since there were 600 tickets sold, let (600-x) = the $1 tickets \n" ); document.write( ": \n" ); document.write( "1.50 tickets + $1 tickets = $700 \n" ); document.write( ": \n" ); document.write( "1.5x + 1(600 - x) = 700 \n" ); document.write( "1.5x - x = 700 - 600 \n" ); document.write( ".5x = 100 \n" ); document.write( "x = 100/.5 \n" ); document.write( "x = 200 ea 1.50 tickets sold at the gate \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check: there were 600 - 200 = 400 ea $1 tickets sold \n" ); document.write( "1.50(200) + 1(400) = $700 \n" ); document.write( " |