document.write( "Question 475955: Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? \n" ); document.write( "
Algebra.Com's Answer #326374 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = smoking seats \n" ); document.write( "2x + 73 = non-smoking seats {73 more than twice the smoking seats}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2x + 73 = 205 {smoking + non-smoking = total seats} \n" ); document.write( "3x + 73 = 205 {combined like terms} \n" ); document.write( "3x = 132 {subtracted 73 from both sides} \n" ); document.write( "x = 44 {divided both sides by 3} \n" ); document.write( "2x + 73 = 161 {substituted 44, in for x, into 2x + 73}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "44 smoking seats \n" ); document.write( "161 non-smoking seats \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |