document.write( "Question 1169858: A food manufacturer produces regular and lite smoked sausages. A regular
\n" ); document.write( "sausage 72% pork and 28% turkey, and a lite sausage is 22% pork and 78%
\n" ); document.write( "turkey. The company has just received a shipment of 2,000 pounds of pork and
\n" ); document.write( "2,000 pounds of turkey. How many pounds of each type of sausage should be
\n" ); document.write( "produced to use all the meat in this shipment? \n" ); document.write( "

Algebra.Com's Answer #794736 by AnlytcPhil(1806) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Let x = the number of pounds of regular sausage produced\r\n" );
document.write( "0.72x = the number of pounds of pork used to make the x pounds of regular sausage\r\n" );
document.write( "0.28x = the number of pounds of turkey used to make the x pounds of regular sausage\r\n" );
document.write( "\r\n" );
document.write( "Let y = the number of pounds of lite sausage produced\r\n" );
document.write( "0.22y = the number of pounds of pork used to make the y pounds of lite sausage\r\n" );
document.write( "0.78y = the number of pounds of turkey used to make the y pounds of lite sausage\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply both equations by 100\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide both equations by 2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To eliminate x, multiply the first equation by 14 and\r\n" );
document.write( "the second by -36\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add them term by term\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substituting in \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So they should produce 2240 pounds of regular sausage and 1760 pounds of \r\n" );
document.write( "lite sausage.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );