document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141799>Question 141799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in desparate need of assistance with augmented matrix. I need to solve the following situation:   A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equations and three unknowns, use an augmented matrix to solve. Identify the three unknowns. Write a separate equation representing each of the first three sentences. Determine the augmented matrix that represents the three equations and solve for the matrix. <BR>\n" );
document.write( "And finally,how many of each type of pizza were sold? <BR>\n" );
document.write( "If any one can assistance I would appreciate the help. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103352 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of students decides to sell pizzas to help raise money for their senior class trip. <BR>\n" );
document.write( "They sold pepperoni for $12, sausage for $10, and cheese for $8.<BR>\n" );
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document.write( "At the end of their sales the class sold a total of 600 pizzas and made $5900.<BR>\n" );
document.write( "Quantity Eq: p + s + c = 600<BR>\n" );
document.write( "Value Eq: 12p + 10s + 8c = 5900<BR>\n" );
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document.write( "The students sold 175 more cheese pizzas than sausage pizzas.<BR>\n" );
document.write( "Relation Eq: c = s + 175 <BR>\n" );
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document.write( "Set up a system of three equations and three unknowns, use an augmented matrix to solve. Identify the three unknowns.<BR>\n" );
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document.write( "Write a separate equation representing each of the first three sentences.<BR>\n" );
document.write( "p   +   s +  c = 600<BR>\n" );
document.write( "12p + 10s + 8c = 5900<BR>\n" );
document.write( "0   -   s + c  =  175<BR>\n" );
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document.write( "Comment: You can write these as an aumented matix<BR>\n" );
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document.write( "Solve the system anyway you can to get:<BR>\n" );
document.write( "p = 225 (# of pepperoni sold)<BR>\n" );
document.write( "s = 100 (# of sausage sold)<BR>\n" );
document.write( "c = 275 (# of cheese sold)<BR>\n" );
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document.write( "Determine the augmented matrix that represents the three equations and solve for the matrix. <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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