document.write( "Question 953527: Please help!
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document.write( "A room contains 78 chairs arranged in rows. The number of rows is one more than twice the number of chairs per row. Find the number of rows. \n" );
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Algebra.Com's Answer #582337 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A room contains 78 chairs arranged in rows. The number of rows is one more than twice the number of chairs per row. Find the number of rows. \n" ); document.write( "---- \n" ); document.write( "Let the number of rows be \"r\". \n" ); document.write( "Let the number of chairs in a row be \"c\" \n" ); document.write( "---------------- \n" ); document.write( "Equations: \n" ); document.write( "c*r = 78 \n" ); document.write( "r = 2c+1 \n" ); document.write( "---- \n" ); document.write( "Substitute for \"r\" and solve for \"c\": \n" ); document.write( "c(2c+1) = 78 \n" ); document.write( "2c^2 + c - 78 = 0 \n" ); document.write( "----- \n" ); document.write( "Factor: \n" ); document.write( "(c-6)(2c+13) = 0 \n" ); document.write( "---- \n" ); document.write( "Positive solution: \n" ); document.write( "# of chairs in a row = 6 \n" ); document.write( "----- \n" ); document.write( "Solve for \"r\": \n" ); document.write( "r = 2c+1 \n" ); document.write( "# of rows = 2*6+1 = 13 \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " \n" ); document.write( " |