document.write( "Question 495669: Six hundred people attended the premiere of a motion picture. Adult tickets cost $13, and children were admitted for $11. If box office receipts totaled $7000, how many children attended the premiere?
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Algebra.Com's Answer #336147 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 600 = total number of people (given) \n" ); document.write( "$7000 = total (given) \n" ); document.write( "x = number of adults \n" ); document.write( "600 -x = number of children \n" ); document.write( "13x = receipts from adults \n" ); document.write( "11(600-x) = receipts from children \n" ); document.write( ". \n" ); document.write( "13x + 11(600-x) = 7000 \n" ); document.write( ". \n" ); document.write( "13x + 6600 - 11x = 7000 \n" ); document.write( "2x = 400 \n" ); document.write( "x = 200 \n" ); document.write( ". \n" ); document.write( "(600-x) = 400 \n" ); document.write( ". \n" ); document.write( "So, the answer appears to be: \n" ); document.write( "200 adults \n" ); document.write( "400 children \n" ); document.write( ". \n" ); document.write( "But ALWAYS check your answer! \n" ); document.write( ". \n" ); document.write( "13*200 = 2600 received from adults \n" ); document.write( "11*400 = 4400 received from children \n" ); document.write( "Total = 7000 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Re-read the question to make sure you answer it. \n" ); document.write( ". \n" ); document.write( "Answer: \n" ); document.write( "A total of 400 children attended. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " \n" ); document.write( " |