document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300656>Question 300656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to write a system of 2 equations in 2 unknowns for the problem.\r<BR>\n" );
document.write( "\n" );
document.write( "At Gwen's garage sale all books were one price, and all magazines were another price.  Harriet bouth 4 books and 3 magazines for $1.45, and June bought 2 books and 5 magazines for $1.25.  What was the price of a book and what was the price of 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 #215681 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215681\">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 bouth 4 books and 3 magazines for $1.45, and June bought 2 books and 5 magazines for $1.25.  What was the price of a book and what was the price of a magazine?\r<BR>\n" );
document.write( "\n" );
document.write( "let the price of a book be $x\r<BR>\n" );
document.write( "\n" );
document.write( "AND the price of magazine be $y\r<BR>\n" );
document.write( "\n" );
document.write( "four books will cost 4x & 3 magazines will cost 3y\r<BR>\n" );
document.write( "\n" );
document.write( "4x+3y = 1.45\r<BR>\n" );
document.write( "\n" );
document.write( "Similarly\r<BR>\n" );
document.write( "\n" );
document.write( "2x+5y=1.25\r<BR>\n" );
document.write( "\n" );
document.write( "2(2x+5y)-(4x+3y)= 2*1.25 - 1.45\r<BR>\n" );
document.write( "\n" );
document.write( "4x+10y-4x-3y = 2.5 -1.45\r<BR>\n" );
document.write( "\n" );
document.write( "7y= 1.05\r<BR>\n" );
document.write( "\n" );
document.write( "y= 1.05/7\r<BR>\n" );
document.write( "\n" );
document.write( "=0.15 Or 15 cents\r<BR>\n" );
document.write( "\n" );
document.write( "4x+3y =1.45 \r<BR>\n" );
document.write( "\n" );
document.write( "plug the value of y\r<BR>\n" );
document.write( "\n" );
document.write( "4x+3*0.15=1.45\r<BR>\n" );
document.write( "\n" );
document.write( "4x+0.45 = 1.45-0.45\r<BR>\n" );
document.write( "\n" );
document.write( "4x= 1\r<BR>\n" );
document.write( "\n" );
document.write( "x= 0.25 OR 25 cents\r<BR>\n" );
document.write( "\n" );
document.write( "Book cost 25 cents and magazine costs 15 cents\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );