document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050355>Question 1050355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joan has some dimes and quarters. If she has 30 coins worth a total of $4.95, how many of each type of coin does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665929 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=665929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D+Q=30\r<BR>\n" );
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document.write( "10D+25=495\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++++1%5CD+%2B+1%5CQ+=+30%2C%0D%0A++++10%5CD+%2B+25%5CQ+=+495+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5CD+%2B+1%5CQ+=+30%2C%0D%0A++++10%5CD+%2B+25%5CQ+=+495+%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=1%2AD+=+30+-+1%2AQ ALIGN=MIDDLE  ALT=\"1%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%2F1+-+1%2AQ%2F1 ALIGN=MIDDLE  ALT=\"D+=+30%2F1+-+1%2AQ%2F1\"   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=10%2A%2830%2F1+-+1%2AQ%2F1%29+%2B+25%5CQ+=+495 ALIGN=MIDDLE  ALT=\"10%2A%2830%2F1+-+1%2AQ%2F1%29+%2B+25%5CQ+=+495\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that Q=13. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+30%2F1+-+1%2AQ%2F1 ALIGN=MIDDLE  ALT=\"D+=+30%2F1+-+1%2AQ%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, D=17.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+D=17%2C+Q=13+%29 ALIGN=MIDDLE  ALT=\"system%28+D=17%2C+Q=13+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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