document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121454>Question 121454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At Gwen's garage sale, all books were one price, and all magazines were another price. harriet bought four books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price for a magazine? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89189 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=89189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At Gwen's garage sale, all books were one price, and all magazines were another price. harriet bought four books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price for a magazine?<br><br>\r<BR>\n" );
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document.write( "This problem is solved using a system of linear equations using eliminaiton.  First off we need to set up the variables.<br>\r<BR>\n" );
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document.write( "x = price of each book<BR>\n" );
document.write( "y = price of each magazine<br>\r<BR>\n" );
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document.write( "now we set up our system<br>\r<BR>\n" );
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document.write( "4x + 3y = 1.45<BR>\n" );
document.write( "2x + 5y = 1.25<br>\r<BR>\n" );
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document.write( "now we multiply by 100 to clear the decimals<br>\r<BR>\n" );
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document.write( "400x + 300y = 145<BR>\n" );
document.write( "200x + 500y = 125<br>\r<BR>\n" );
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document.write( "Now multiply the second equation by -2.<br>\r<BR>\n" );
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document.write( "-400x - 1000y = -250<br>\r<BR>\n" );
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document.write( "Now add the first equation to that and cancel the x's and solve for y.<br>\r<BR>\n" );
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document.write( "400x + 300y = 145<BR>\n" );
document.write( "-400x - 1000y = -250<BR>\n" );
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document.write( "-700y = -105<BR>\n" );
document.write( "y = 0.15<br>\r<BR>\n" );
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document.write( "now plug that into the first equation and solve for x.<br>\r<BR>\n" );
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document.write( "400x + 300(0.15) = 145<BR>\n" );
document.write( "400x + 45 = 145<BR>\n" );
document.write( "400x = 100<BR>\n" );
document.write( "x = 0.25<br>\r<BR>\n" );
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document.write( "So each book is priced at 25 cents and each magazine is priced at 15 cents.   </SPAN>\n" );
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