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)\"\" \"About 
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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
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