document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125748>Question 1125748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stuck on this problem, can someone assist me please?  Thank you.  <BR>\n" );
document.write( "Most nutritionists now agree that a healthy adult diet should include 25&#8722;35 g of fiber each day. A breakfast of 2 blueberry&#8203; muffins, 1 banana&#8203;, and a&#8203; 1-cup serving of cereal contains 15 g of&#8203; fiber; a breakfast of 1 blueberry&#8203; muffin, 2 bananas&#8203;, and a&#8203; 1-cup serving of cereal contains 17.5 g of&#8203; fiber; and a breakfast of <BR>\n" );
document.write( "2 blueberry muffins and a&#8203; 1-cup serving of cereal contains 10 g of fiber. How much fiber is in each of these&#8203; foods?<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 #742052 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the number of grams of fiber in a blueberry muffin.<BR>\n" );
document.write( "let y = the number of grams of fiber in a banana.<BR>\n" );
document.write( "let z= the number of grams of fiber in a serving of cereal.\r<BR>\n" );
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document.write( "your equations become:\r<BR>\n" );
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document.write( "2x + y + z = 15<BR>\n" );
document.write( "x + 2y + z = 17.5<BR>\n" );
document.write( "2x + 0y + z = 10\r<BR>\n" );
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document.write( "these 3 equations need to be solved simultaneously.\r<BR>\n" );
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document.write( "take the first 2 equations and solve for x and y by eliminating z.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "2x + y + z = 15<BR>\n" );
document.write( "x + 2y + z = 17.5\r<BR>\n" );
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document.write( "subtract the second equation form the first to get x - y = -2.5\r<BR>\n" );
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document.write( "take the second and third equatioon and solve for x and y by eliminating z.\r<BR>\n" );
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document.write( "2x + y + z = 15<BR>\n" );
document.write( "2x + 0y + z = 10\r<BR>\n" );
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document.write( "subtract the second equation from the first to get y = 5.\r<BR>\n" );
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document.write( "go back to the equation of x - y = -2.5 and replace y with 5 to get:\r<BR>\n" );
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document.write( "x - 5 = -2.5<BR>\n" );
document.write( "add 5 to both sides of this equation to get x = 2.5\r<BR>\n" );
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document.write( "you now have x = 2.5 and y = 5.\r<BR>\n" );
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document.write( "go back to the first original equation of 2x + y + z = 15 and replace x with 2.5 and y with 5 to get 5 + 5 + z = 15 which results in z = 5.\r<BR>\n" );
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document.write( "your values are:\r<BR>\n" );
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document.write( "x = 2.5<BR>\n" );
document.write( "y = 5<BR>\n" );
document.write( "z = 5\r<BR>\n" );
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document.write( "evaluate all 3 original equations to see that they are true when you use these values for x,y,z.\r<BR>\n" );
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document.write( "the 3 original equations are:\r<BR>\n" );
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document.write( "2x + y + z = 15 which becomes 2*2.5 + 5 + 5 = 15 which becomes 15 = 15.<BR>\n" );
document.write( "x + 2y + z = 17.5 which becomes 2.5 + 10 + 5 = 17.5 which becomes 17.5 = 17.5.<BR>\n" );
document.write( "2x + 0y + z = 10 which becomes 2*2.5 + 5 = 10 which becomes 10 = 10.\r<BR>\n" );
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document.write( "all 3 equations are true, therefore the solution is good.\r<BR>\n" );
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document.write( "the solution is:\r<BR>\n" );
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document.write( "there are 2.5 grams of fiber in a blueberry muffin.<BR>\n" );
document.write( "there are 5 grams of fiber in a banana.<BR>\n" );
document.write( "there are 5 grams of fiber in a serving of cereal.\r<BR>\n" );
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