document.write( "Question 1169003: A play was attended by 456 people. Patron's tickets cost $2 and all other tickets cost $3. If the total box office receipts were $1131, how many of each ticket was sold? \n" ); document.write( "
Algebra.Com's Answer #793654 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A play was attended by 456 people. Patron's tickets cost $2 and all other tickets cost $3. \n" ); document.write( "If the total box office receipts were $1131, how many of each ticket was sold? \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x = the number of the \"all other tickets\" at $3 each.\r\n" ); document.write( "\r\n" ); document.write( "Then the number of the patron's tickets is (456-x).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now you write the total money equation (the revenue)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 3x + 2*(456-x) = 1131.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation, you get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard and typical tickets problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are different methods of solving such problems. \n" ); document.write( "In this site, there are lessons\r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on tickets \r \n" ); document.write( "\n" ); document.write( " - Three methods for solving standard (typical) problems on tickets\r \n" ); document.write( "\n" ); document.write( "explaining and showing all basic methods of solving such problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From these lessons, learn on how to solve such problems once and for all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |