document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050005>Question 1050005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dan opened up his piggy bank and found a total of 35 coins - nickels, dimes, quarters.  He has 5 more nickels than dimes and a total of $6.  How many of each coin were in his bank?\r<BR>\n" );
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document.write( "dimes = d<BR>\n" );
document.write( "nickels = d+5<BR>\n" );
document.write( "quarters = 35-d-(d+5)\r<BR>\n" );
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document.write( "I know it is .05(d+5);  .10d;  I think the quarters is .25(35-2d-5),<BR>\n" );
document.write( "I know the sum of all 3 coins = $6<BR>\n" );
document.write( "I know to multiply by 100 to get rid of the decimals\r<BR>\n" );
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document.write( "but I'm not getting it to come out correctly.\r<BR>\n" );
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document.write( "thanks for your help!<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 #665592 by </B><A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><B>advanced_Learner(501)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=advanced_Learner><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=advanced_Learner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equations are<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD%2BQ=35 ALIGN=MIDDLE  ALT=\"N%2BD%2BQ=35\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=5%2BD ALIGN=MIDDLE  ALT=\"N=5%2BD\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5N%2B10D%2B25Q=600 ALIGN=MIDDLE  ALT=\"5N%2B10D%2B25Q=600\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2D%2BQ=30 ALIGN=MIDDLE  ALT=\"2D%2BQ=30\"   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=15D%2B25Q=575 ALIGN=MIDDLE  ALT=\"15D%2B25Q=575\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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_substitution.solver>SOLVE linear system by SUBSTITUTION</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++++2%5CD+%2B+1%5CQ+=+30%2C%0D%0A++++15%5CD+%2B+25%5CQ+=+575+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++2%5CD+%2B+1%5CQ+=+30%2C%0D%0A++++15%5CD+%2B+25%5CQ+=+575+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*Q to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2AD+=+30+-+1%2AQ ALIGN=MIDDLE  ALT=\"2%2AD+=+30+-+1%2AQ\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+30%2F2+-+1%2AQ%2F2 ALIGN=MIDDLE  ALT=\"D+=+30%2F2+-+1%2AQ%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A%2830%2F2+-+1%2AQ%2F2%29+%2B+25%5CQ+=+575 ALIGN=MIDDLE  ALT=\"15%2A%2830%2F2+-+1%2AQ%2F2%29+%2B+25%5CQ+=+575\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that Q=20. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+30%2F2+-+1%2AQ%2F2 ALIGN=MIDDLE  ALT=\"D+=+30%2F2+-+1%2AQ%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, D=5.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+D=5%2C+Q=20+%29 ALIGN=MIDDLE  ALT=\"system%28+D=5%2C+Q=20+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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