document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460796>Question 460796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pile of pennies, dimes, and half dollars (100 coins in all) is worth $5. How many dimes are in the pile? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316090 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of pennies<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of dimes<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of half dollars<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+%2B+d+%2B+h+=+100+ ALIGN=MIDDLE  ALT=\"+p+%2B+d+%2B+h+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ap+%2B+10d+%2B+50h+=+500+ ALIGN=MIDDLE  ALT=\"+1%2Ap+%2B+10d+%2B+50h+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "There are 2 equations and 3 unknowns, so<BR>\n" );
document.write( "it is not directly solvable, but I can make<BR>\n" );
document.write( "some logical conclusions.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "The number of pennies is even and also<BR>\n" );
document.write( "a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, otherwise, you<BR>\n" );
document.write( "can't end up with a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+ ALIGN=MIDDLE  ALT=\"+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "You can't have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+ ALIGN=MIDDLE  ALT=\"+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > dimes, since that<BR>\n" );
document.write( "equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+ ALIGN=MIDDLE  ALT=\"+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "The most dimes you could possibly have is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+ ALIGN=MIDDLE  ALT=\"+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+ ALIGN=MIDDLE  ALT=\"+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > pennies = $.50<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+ ALIGN=MIDDLE  ALT=\"+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" > dimes = $4.00<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > half dollar = $.50<BR>\n" );
document.write( "but then you only have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+91+ ALIGN=MIDDLE  ALT=\"+91+\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins<BR>\n" );
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document.write( "Suppose you have 1 less dime. You have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+60+ ALIGN=MIDDLE  ALT=\"+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" > pennies = $.60<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+39+ ALIGN=MIDDLE  ALT=\"+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" > dimes = $3.90<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > half dollar = $.50<BR>\n" );
document.write( "That adds up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+ ALIGN=MIDDLE  ALT=\"+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > coins and<BR>\n" );
document.write( "must be the answer.\r<BR>\n" );
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