document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40405>Question 40405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sliced turkey cost $3.20 per pound. Roast beef cost twice as much, & ground beef cost half as much as the turkey. Find the price of 7.5 pounds of ground beef.<BR>\n" );
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document.write( "A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Brazilian coffee should be used to make 300kg of the mixture? ____________kilograms<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25801 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sliced turkey cost $3.20 per pound.<BR>\n" );
document.write( "ground beef cost half as much as the turkey.<BR>\n" );
document.write( "Find the price of 7.5 pounds of ground beef.<BR>\n" );
document.write( "$3.20 per pound / 2 = $1.60 / pound<BR>\n" );
document.write( "(1.60 / lb)*(7.5 lb) = $12<BR>\n" );
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document.write( "Let x = kg of Brazilian coffee in mixture<BR>\n" );
document.write( "Let y = kg of Turkish coffee in mixture<BR>\n" );
document.write( "($5/kg)*(x kg) + ($8/kg)*(y kg) = ($7/ kg)*(300 kg)<BR>\n" );
document.write( "x kg + y kg = 300 kg<BR>\n" );
document.write( "leaving out the units,<BR>\n" );
document.write( "5x + 8y = 2100<BR>\n" );
document.write( " x + y = 300<BR>\n" );
document.write( "multiply 2nd equation by 5 and subtract from 1st<BR>\n" );
document.write( "5x + 8y = 2100<BR>\n" );
document.write( "-5x -5y = -1500<BR>\n" );
document.write( "3y = 600<BR>\n" );
document.write( "y = 200<BR>\n" );
document.write( "x = 300 - y<BR>\n" );
document.write( "x = 100<BR>\n" );
document.write( "So, 100 kg of the Brazilian coffee should be used<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "5x + 8y = 2100<BR>\n" );
document.write( "5*100 + 8*200 = 2100<BR>\n" );
document.write( "500 + 1600 = 2100<BR>\n" );
document.write( "2100 = 2100<BR>\n" );
document.write( "x + y = 300<BR>\n" );
document.write( "100 + 200 = 300<BR>\n" );
document.write( "300 = 300<BR>\n" );
document.write( "OK </SPAN>\n" );
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