document.write( "Question 814648: I need help on this word problem please.\r
\n" );
document.write( "\n" );
document.write( "burts burger shack sold 495 burgers today. the number sold with cheese was 1/2 the number of burgers sold without cheese. how many of each kind of burger were sold? \r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "thank you : ) \n" );
document.write( "
Algebra.Com's Answer #490419 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Set c = number of burgers with cheese \n" ); document.write( "Set w = number of burgers without cheese\r \n" ); document.write( "\n" ); document.write( "c = 1/2 * w One half as many have cheese\r \n" ); document.write( "\n" ); document.write( "w + c = 495 The number without plus the number with equal 495\r \n" ); document.write( "\n" ); document.write( "Notice that we can substitute ( 1/2 * w ) for c in the above equation \n" ); document.write( "w + ( 1/2 * w ) = 495 \n" ); document.write( "1 1/2 * w = 495 \n" ); document.write( "or \n" ); document.write( "3/2 w = 495 \n" ); document.write( "Multiply each side by 2/3 \n" ); document.write( "(2/3)(3/2) * w = 495 * (2/3) \n" ); document.write( " w = 990/3 \n" ); document.write( " w = 330 \n" ); document.write( "Since w + c = 495 \n" ); document.write( " 390 + c = 495 \n" ); document.write( " c = 165 \n" ); document.write( "So we have 165 with cheese and 390 without. \n" ); document.write( " |