document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130898>Question 130898</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072918861/algebrahomeworkh>ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Salvador's fruit Mart sells variety packs. The small pack contains three babanas, two apples., and one orange for $ 1.80. The medium pack contains four babanas, three apples, and three oranges for $ 3. 05. The family size contains six bananas, five apples, and four oranges for $4.65. What price should Salvador charge for his lunch-box special that consists of one banana, one apple, and one orange? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95725 by </B><A HREF=/tutors/aboutme.mpl?userid=fners><B>fners(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fners><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=95725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3b+2a+1o=1.8<BR>\n" );
document.write( "4b+3a+3o=3.05<BR>\n" );
document.write( "6b+5a+4o=4.65\r<BR>\n" );
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document.write( "one way to solve is to make a matrix and reduce, using rules including - you can switch rows, you can multiply all four elements in a row by a constant, you can add or subtract one row from another row:\r<BR>\n" );
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document.write( "3 2 1 1.8<BR>\n" );
document.write( "4 3 3 3.05<BR>\n" );
document.write( "6 5 4 4.65\r<BR>\n" );
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document.write( "graphing calculators will do this for you. on my ti-89, i enter:<BR>\n" );
document.write( "rref([3,2,1,1.8;4,3,3,3.05;6,5,4,4.65])\r<BR>\n" );
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document.write( "it returns:<BR>\n" );
document.write( "1 0 0 .2<BR>\n" );
document.write( "0 1 0 .45<BR>\n" );
document.write( "0 0 1 .3\r<BR>\n" );
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document.write( "this means<BR>\n" );
document.write( "1b+0a+0o=.2<BR>\n" );
document.write( "0b+1a+0o=.45<BR>\n" );
document.write( "0b+0a+1o=.3\r<BR>\n" );
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document.write( "so bananas cost $0.20, apples cost $0.45, and oranges cost $0.30.\r<BR>\n" );
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document.write( "I'd buy 'em.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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