document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160953>Question 1160953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elise saved $184. <BR>\n" );
document.write( "She bought a scarf, a necklace, and a notebook. <BR>\n" );
document.write( "After her purchases, she still had $39.50. <BR>\n" );
document.write( "The scarf cost three-fifths the cost of the necklace, and the notebook was one-sixth as much as the scarf. <BR>\n" );
document.write( "What was the cost of each item? <BR>\n" );
document.write( "How much more did the necklace cost than the notebook </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784386 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Elise saved $184.<BR>\n" );
document.write( "She bought a scarf, a necklace, and a notebook.<BR>\n" );
document.write( "After her purchases, she still had $39.50.<BR>\n" );
document.write( " Therefore the total for purchases: 184 - 39.50 = $144.50<BR>\n" );
document.write( "let s = cost of scarf<BR>\n" );
document.write( "let n = cost of necklace<BR>\n" );
document.write( "let b = cost of notebook<BR>\n" );
document.write( "s + n + b = 144.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The scarf cost three-fifths the cost of the necklace,<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >n<BR>\n" );
document.write( "find n in terms of s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >n = s<BR>\n" );
document.write( "3n = 5s<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >s<BR>\n" );
document.write( ":<BR>\n" );
document.write( " the notebook was one-sixth as much as the scarf.<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace n and b in the first equation<BR>\n" );
document.write( "s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >s = 144.50<BR>\n" );
document.write( "multiply by 6 get rid of the denominators<BR>\n" );
document.write( "6s + 2(5s) + s = 6(144.50)<BR>\n" );
document.write( "6s + 10s + s = 867<BR>\n" );
document.write( "17s = 867<BR>\n" );
document.write( "s = 867/17<BR>\n" );
document.write( "s = $51 for the scarf<BR>\n" );
document.write( "then<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*51<BR>\n" );
document.write( "n = $85 for the necklace<BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Elise+saved+%24184.%0D%0AShe+bought+a+scarf%2C+a+necklace%2C+and+a+notebook.%0D%0AAfter+her+purchases%2C+she+still+had+%2439.50.%0D%0A+Therefore+the+total+for+purchases%3A+184+-+39.50+=+%24144.50%0D%0Alet+s+=+cost+of+scarf%0D%0Alet+n+=+cost+of+necklace%0D%0Alet+b+=+cost+of+notebook%0D%0As+%2B+n+%2B+b+=+144.50%0D%0A%3A%0D%0A+The+scarf+cost+three-fifths+the+cost+of+the+necklace%2C%0D%0As+=+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=3%252F5+ALIGN=MIDDLE++ALT=%223%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3En%0D%0Afind+n+in+terms+of+s%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=3%252F5+ALIGN=MIDDLE++ALT=%223%252F5%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3En+=+s%0D%0A3n+=+5s%0D%0An+=+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=5%252F3+ALIGN=MIDDLE++ALT=%225%252F3%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3Es%0D%0A%3A%0D%0A+the+notebook+was+one-sixth+as+much+as+the+scarf.%0D%0Ab+=+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=1%252F6+ALIGN=MIDDLE++ALT=%221%252F6%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3Es%0D%0A%3A%0D%0Areplace+n+and+b+in+the+first+equation%0D%0As+%2B+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=5%252F3+ALIGN=MIDDLE++ALT=%225%252F3%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3Es+%2B+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=1%252F6+ALIGN=MIDDLE++ALT=%221%252F6%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3Es+=+144.50%0D%0Amultiply+by+6+get+rid+of+the+denominators%0D%0A6s+%2B+2%285s%29+%2B+s+=+6%28144.50%29%0D%0A6s+%2B+10s+%2B+s+=+867%0D%0A17s+=+867%0D%0As+=+867%2F17%0D%0As+=+%2451+for+the+scarf%0D%0Athen%0D%0An+=+%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=5%252F3+ALIGN=MIDDLE++ALT=%225%252F3%22++ DISABLED_style= %22max-width%3A90%25%3B+height%3Aauto%3B%22+%3E%2A51%0D%0An+=+%2485+for+the+necklace%0D%0Aand%0D%0Ab+=+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >1/6)))*51<BR>\n" );
document.write( "b = $8.50 for notebook<BR>\n" );
document.write( ":<BR>\n" );
document.write( "How much more did the necklace cost than the notebook<BR>\n" );
document.write( "85 - 8.50 = $76.50 more for the necklace<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );