document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126374>Question 126374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a collection of dimes and quarters, there are seven more quarters than dimes.  How many dimes and quarters are there if the collection is worth $3.50?<BR>\n" );
document.write( "What is the equation for this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92594 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question should have been \"what are the equations for this?\"\r<BR>\n" );
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document.write( "You have a situation where you can express a relationship between the numbers of things and another relationship between the values of those things.  Meaning that you will have to develop a system of equations and solve them.\r<BR>\n" );
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document.write( "Let q be the number of quarters and d be the number of dimes.  The quantity relationship is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+d+%2B+7 ALIGN=MIDDLE  ALT=\"q+=+d+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > because there are 7 more quarters than dimes.\r<BR>\n" );
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document.write( "Each quarter is worth 25 cents so the total value of q quarters in cents is 25q.  Likewise for the dimes, the total value is 10d.  We know that the total value of all the coins is $3.50 or 350 cents, so we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q+%2B+10d+=+350 ALIGN=MIDDLE  ALT=\"25q+%2B+10d+=+350\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Into this equation we can substitute the expression for the number of quarters in terms of dimes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%28d%2B7%29%2B10d=350 ALIGN=MIDDLE  ALT=\"25%28d%2B7%29%2B10d=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25d%2B175%2B10d=350 ALIGN=MIDDLE  ALT=\"25d%2B175%2B10d=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35d%2B175=350 ALIGN=MIDDLE  ALT=\"35d%2B175=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35d=175 ALIGN=MIDDLE  ALT=\"35d=175\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=5 ALIGN=MIDDLE  ALT=\"d=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there are 5 dimes.  Since there are 5 dimes, there must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B7=12 ALIGN=MIDDLE  ALT=\"5%2B7=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > quarters.\r<BR>\n" );
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document.write( "Check.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A12=300 ALIGN=MIDDLE  ALT=\"25%2A12=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A5=50 ALIGN=MIDDLE  ALT=\"10%2A5=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2B50=350 ALIGN=MIDDLE  ALT=\"300%2B50=350\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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