document.write( "Question 767043: Six hundred people attended the premiere of a motion picture. Adult tickets cost $11, and children were admitted for $6. If box office receipts totaled $5700, how many children attended the premiere? \n" ); document.write( "
Algebra.Com's Answer #467375 by nawsin(1)![]() ![]() ![]() You can put this solution on YOUR website! Let a be for Adults \n" ); document.write( "let c be for Children\r \n" ); document.write( "\n" ); document.write( "Since total number of people attended are 600 \n" ); document.write( "Therefore, \n" ); document.write( "a + c = 600.........(i)\r \n" ); document.write( "\n" ); document.write( "$11 for Adults \n" ); document.write( "$6 for children \n" ); document.write( "Total receipts = $5700\r \n" ); document.write( "\n" ); document.write( "Therefore, \n" ); document.write( "11a + 6c = 5700.....(ii)\r \n" ); document.write( "\n" ); document.write( "a = 600 - c.........(iii)\r \n" ); document.write( "\n" ); document.write( "Putting equation (iii) into equation (ii) \n" ); document.write( "11(600-c) + 6c = 5700 \n" ); document.write( "6600 - 11c + 6c = 5700 \n" ); document.write( "5c = 900 \n" ); document.write( "c = 180 children \n" ); document.write( " |