document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579154>Question 579154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sum of money amounting to $6.20 consists of dimes and quarters. if there are 35 coins in all, how many are quarters?\r<BR>\n" );
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document.write( "I usually have no problem with these. I set it up like this:<BR>\n" );
document.write( ".25x+.1y=35<BR>\n" );
document.write( "x+y-6.20\r<BR>\n" );
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document.write( "I kept getting huge answers... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370882 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your equations are somewhat flipped:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+35 ALIGN=MIDDLE  ALT=\"x%2By+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" > ; total number of coins \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25x+%2B+.1y+=+6.20 ALIGN=MIDDLE  ALT=\".25x+%2B+.1y+=+6.20\"   DISABLED_style= \"max-width:90%; height:auto;\" > ; total value, x=quarters\r<BR>\n" );
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document.write( "<br>\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear.solver>Linear System solver (using determinant)</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+35%2C%0D%0A++++0.25%5Cx+%2B+0.1%5Cy+=+6.2+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+35%2C%0D%0A++++0.25%5Cx+%2B+0.1%5Cy+=+6.2+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Any system of equations:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++a%5B11%5D%2Ax+%2B+a%5B12%5D%2Ay+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2Ax+%2B+a%5B22%5D%2Ay+=+b%5B2%5D%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  has solution<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++x+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++y+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  or<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++++x+=+%2835%2A0.1+-+6.2%2A1%29%2F%281%2A0.1-0.25%2A1%29+=+18%2C%0D%0A++++++y+=+%281%2A6.2+-+0.25%2A35%29%2F%281%2A0.1-0.25%2A1%29+=+17%0D%0A++++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  (x=18, y=17}<BR>\n" );
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document.write( "18 quarters, 17 dimes\r<BR>\n" );
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document.write( "CHECK:\r<BR>\n" );
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document.write( "18(.25) + 17(.10) = 4.50 + 1.70 = $6.20 &#8730; </SPAN>\n" );
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