document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79685>Question 79685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> angelica and her brother, morton, had a total fo $100 they earned washing walls.  they heard about a fantastic garage sale and went to see what they could find.  when they saw the prices for paperback books, jeans, and winter jackets, they decided to buy 100 items for their $100.  if hte jackets were $9 each, the jeans $3 a pair, and the books 5 for $1, how many of each did they buy?<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 #57181 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=57181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> they decided to buy 100 items for their $100. if hte jackets were $9 each, the jeans $3 a pair, and the books 5 for $1, how many of each did they buy?\r<BR>\n" );
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document.write( "Let # of jackets be \"k\" ; Value of those jackets is 900k cents<BR>\n" );
document.write( "Let # of jeans be \"n\" ; value of those jeans is 300n cents<BR>\n" );
document.write( "Let # of books be \"b\" ; value of those books is 20n cents<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "k + n + b = 100<BR>\n" );
document.write( "900k + 300n + 20b = 10000 cents<BR>\n" );
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document.write( "k + n + b = 100<BR>\n" );
document.write( "45k + 15n +b = 500<BR>\n" );
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document.write( "Subtract 1st from 2nd to get:<BR>\n" );
document.write( "44k + 13n = 400<BR>\n" );
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document.write( "Make a list of the multiples of 44 and another list of the multiples<BR>\n" );
document.write( "of 13.  Try to find a sum that equals 400.  That should tell you <BR>\n" );
document.write( "what k and n are.  Using that information you can find b.<BR>\n" );
document.write( "It can be done because k and n must be Natural or Counting numbers.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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