document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93721>Question 93721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a garage sale all books were one price, and all magazines were another price.  Harriet bought 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" );
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document.write( "Please help me.  I am having trouble understanding.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68286 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=68286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Harriet bought 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?<BR>\n" );
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document.write( "Let the price of a book be \"b\"; Let the price of a magazine be \"m\".<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "1st: 4b+3m=1.45<BR>\n" );
document.write( "2nd: 2b+5m=1.25<BR>\n" );
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document.write( "Multiply the 2nd equation by 2 to get:<BR>\n" );
document.write( "3rd: 4b+10m=2.50<BR>\n" );
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document.write( "Subtract the 1st equation from the 3rd to get:<BR>\n" );
document.write( "4th: 7m=1.05<BR>\n" );
document.write( "m = 0.15 (price of a magazine)<BR>\n" );
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document.write( "Substitute that into the 2nd equation to solve for \"b\":<BR>\n" );
document.write( "2b + 5*0.15 = 1.25<BR>\n" );
document.write( "2b + 0.75 = 1.25<BR>\n" );
document.write( "2b = 0.50<BR>\n" );
document.write( "b = 0.25 (price of a book)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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