document.write( "Question 818108: A rectangular auditorium seats 1505 people. The number of seats in each row exceeds the number of rows by 8. Find the number of seats in each row. \n" ); document.write( "
Algebra.Com's Answer #729111 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "There is much more elegant solution which allows to avoid boring calculations and solve the problem MENTALLY.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Let \"m\" be an unknown number which is 4 more than the number of rows: m = rows +4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Then \"m\" is 4 less then the number of seats in a row: m = seats - 4.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " The product seats*rows is 1505, or (m+4)*(m-4) = 1505.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Hence,\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |