document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272225>Question 272225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for same the price of purchasing 2 apples ,you may purchase 6 bananas,for $1.25 ,you get one apple and 2 bananas. What is the price of one banana?\r<BR>\n" );
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document.write( "A  $1.25  b  $1.00    c  $0.75   d  $0.50   e  $0.25\r<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 #199196 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=199196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the price of one apple.<BR>\n" );
document.write( "let b = the price of one banana.\r<BR>\n" );
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document.write( "2*a = 6*b\r<BR>\n" );
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document.write( "a + 2*b = 1.25\r<BR>\n" );
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document.write( "use the first equation to solve for a in terms of b.\r<BR>\n" );
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document.write( "you get a = 6*b/2 = 3*b\r<BR>\n" );
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document.write( "replace a with 3*b in the second equation to get:\r<BR>\n" );
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document.write( "3*b + 2*b = 1.25\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "5*b = 1.25\r<BR>\n" );
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document.write( "divide both sides of the equation by 5 to get:\r<BR>\n" );
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document.write( "b = 1.25 / 5 = .25\r<BR>\n" );
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document.write( "price of 1 banana is $0.25\r<BR>\n" );
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document.write( "Since a = 3*b, this means that:\r<BR>\n" );
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document.write( "price of 1 apple is .75\r<BR>\n" );
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document.write( "substitute these values in your original equations to see that they are true.\r<BR>\n" );
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document.write( "your first equation is 2*a = 6*b\r<BR>\n" );
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document.write( "this means that 2*.75 = 6*.25\r<BR>\n" );
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document.write( "this means that 1.5 = 1.5 which is true.\r<BR>\n" );
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document.write( "your second equation is a + 2*b = 1.25\r<BR>\n" );
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document.write( "this means that .75 + 2*.25 = 1.25\r<BR>\n" );
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document.write( "this means that .75 + .50 = 1.25\r<BR>\n" );
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document.write( "this means that 1.25 = 1.25 which is also true.\r<BR>\n" );
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document.write( "price of one banana is $0.25 which is selection e.\r<BR>\n" );
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