document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=839945>Question 839945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Candy store sells red jelly beans and blue jelly beans Caden buys 8 ounces of red and 4 of blue jelly beans for a total of $20. Tovah buys 6 ounces of red and 9 of blur jelly beans for a total of $27. What is the cost per ounce for red and blue jelly beans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505887 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=505887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Price of red jelly beans, r.<BR>\n" );
document.write( "Price of blue jelly beans, b.<BR>\n" );
document.write( "Price unit is dollars per ounce.\r<BR>\n" );
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document.write( "Caden's cost:  8r+4b=20<BR>\n" );
document.write( "Tovah's cost:  6r+9b=27\r<BR>\n" );
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document.write( "Each of the equations can and should be simplified.  Divide Caden's equation by 4, and divide Tovah's equation by 3.\r<BR>\n" );
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document.write( "Caden:  2r+b=5<BR>\n" );
document.write( "Tovah:  2r+3b=9\r<BR>\n" );
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document.write( "You could use substitution to solve this system, but elimination will be easier, and maybe faster.  SUBTRACT Caden equation from Tovah equation.<BR>\n" );
document.write( "(2r+3b)-(2r+b)=9-5<BR>\n" );
document.write( "b=4<BR>\n" );
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document.write( "Finding r price of red jelly beans,<BR>\n" );
document.write( "2r+b=5<BR>\n" );
document.write( "2r=5-b<BR>\n" );
document.write( "r=(5-b)/2<BR>\n" );
document.write( "r=(5-4)/2<BR>\n" );
document.write( "r=1/2 dollars per ounce, Red Jelly Beans.\r<BR>\n" );
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document.write( "Blue Jelly Beans, $4/ounce<BR>\n" );
document.write( "Red Jelly Beans, $0.50/ounce<BR>\n" );
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