document.write( "Question 535537: A stadium has 49000 seats. Seats sell for $25 in Section A, $20 in Section B, and $15 in Section C. The number of seats in Section A equals the total number of seats in Section B and C. Suppose the stadium takes in $1052000 from each sold-out event. How many seats does each section hold? \n" ); document.write( "
Algebra.Com's Answer #351937 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A stadium has 49000 seats. \n" ); document.write( "Seats sell for $25 in Section A, z \n" ); document.write( "$20 in Section B,-------------------x seats \n" ); document.write( "$15 in Section C. ------------------y seats\r \n" ); document.write( "\n" ); document.write( "(x+y)=z\r \n" ); document.write( "\n" ); document.write( "25(x+y)+20x+15y=1052000 \n" ); document.write( "25x+25y+20x+15y=1052000 \n" ); document.write( "45x+40y=1052000 \n" ); document.write( "/5 \n" ); document.write( "9x+8y=210400------------------1 \n" ); document.write( "2x+2y=49000 \n" ); document.write( "/2 \n" ); document.write( "x+y=24500 \n" ); document.write( "multiply by -9 \n" ); document.write( "-9x-9y=-220500----------------2\r \n" ); document.write( "\n" ); document.write( "add equation (1) & (2) \n" ); document.write( "-y=-10100 \n" ); document.write( "y= 10100 Section C \n" ); document.write( "plug value of y in equation x+y = 24500 \n" ); document.write( "x+10100=24500 \n" ); document.write( "x=14400 seats Section B\r \n" ); document.write( "\n" ); document.write( "x+y = Z= 24500 Section A\r \n" ); document.write( "\n" ); document.write( "CHECK\r \n" ); document.write( "\n" ); document.write( "24500+14400+10100= 49,000\r \n" ); document.write( "\n" ); document.write( "24500*25+14400*20+15*10100=1,052,000\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |