document.write( "Question 305719: A theater has twice as many seats in the main area as in the balcony and it has 20 less seats on the floor than in the balcony. If there are 300 seats in the theater, how many seats are in each area? \n" ); document.write( "
Algebra.Com's Answer #218863 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A theater has twice as many seats in the main area as in the balcony and it has 20 less seats on the floor than in the balcony. If there are 300 seats in the theater, how many seats are in each area?\r \n" ); document.write( "\n" ); document.write( "let the number of seats in the balcony be x\r \n" ); document.write( "\n" ); document.write( "main area it has 2x\r \n" ); document.write( "\n" ); document.write( "floor it has x-20\r \n" ); document.write( "\n" ); document.write( "x+2x+x-20=300\r \n" ); document.write( "\n" ); document.write( "4x-20=300\r \n" ); document.write( "\n" ); document.write( "4x= 320 \n" ); document.write( "x= 80 balcony seats\r \n" ); document.write( "\n" ); document.write( "main area = 2x =160 seats\r \n" ); document.write( "\n" ); document.write( "floor area = x-20 = 80-20=60 seats\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |