document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196188>Question 1196188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure on what my teacher meant by wanting us to do this type problem with matrix which Iam confused about but here is the problem<BR>\n" );
document.write( "Write and solve the system of linear equations.<BR>\n" );
document.write( "Jason is helping raise money for a dog rescue foundation by selling baskets of dog treats.<BR>\n" );
document.write( "•Basket A contains 4 peanut butter treats,3 bacon treats,and 2 cheese treats and sells for $12.31.<BR>\n" );
document.write( "•Basket B contains 3 peanut butter treats,4 bacon treats,and 3 cheese treats and sells for $11.91.<BR>\n" );
document.write( "•Basket C contains 6 peanut butter treats,5 bacon treats,and 4cheese treats and sells for $20.25<BR>\n" );
document.write( "What is the cost for one of each kind of treat? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828923 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write and solve the system of linear equations.<BR>\n" );
document.write( "Jason is helping raise money for a dog rescue foundation by selling baskets of dog treats.<BR>\n" );
document.write( "•Basket A contains 4 peanut butter treats,3 bacon treats,and 2 cheese treats and sells for $12.31.<BR>\n" );
document.write( "•Basket B contains 3 peanut butter treats,4 bacon treats,and 3 cheese treats and sells for $11.91.<BR>\n" );
document.write( "•Basket C contains 6 peanut butter treats,5 bacon treats,and 4cheese treats and sells for $20.25<BR>\n" );
document.write( "What is the cost for one of each <BR>\n" );
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document.write( "4B + 3T + 2C = 1231 - Eqn 1<BR>\n" );
document.write( "3B + 4T + 3C = 1191 - Eqn 2<BR>\n" );
document.write( "6B + 5T + 4C = 2025 - Eqn 3<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Solve for B, T & C<BR>\n" );
document.write( "There's no mystery.<BR>\n" );
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document.write( "Using Elimination:<BR>\n" );
document.write( "8B + 6T + 4C = 2462 - Eqn1 times 2<BR>\n" );
document.write( "6B + 5T + 4C = 2025 - Eqn 3<BR>\n" );
document.write( "-------------------------------------- Subtract<BR>\n" );
document.write( "2B + T = 437  ----- C is eliminated --> Eqn A<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "12B + 9T + 6C = 3693 - Eqn 1 times 3<BR>\n" );
document.write( " 6B + 8T + 6C = 2382 - Eqn 2 times 2<BR>\n" );
document.write( "-------------------------------------- Subtract<BR>\n" );
document.write( "6B + T = 1311 Eqn B<BR>\n" );
document.write( "2B + T = 437  Eqn A<BR>\n" );
document.write( "---------------------- Subtract<BR>\n" );
document.write( "4B = 874<BR>\n" );
document.write( "B = 218.5<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Sub for B in Eqn A<BR>\n" );
document.write( "2B + T = 437  Eqn A<BR>\n" );
document.write( "T = 0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Sub for B and T in any equation:<BR>\n" );
document.write( "4B + 3T + 2C = 1231 - Eqn 1<BR>\n" );
document.write( "874 + 0 + 2C = 1231<BR>\n" );
document.write( "2C = 357<BR>\n" );
document.write( "C = 178.5<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Seems odd that B and C give 1/2 cent result, and that T's are free.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );