document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117809>Question 1117809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A piggy bank contains 30 coins worth $1.90.<BR>\n" );
document.write( "(A) If the bank contains only nickels and dimes, how many coins of<BR>\n" );
document.write( "each type does it contain?<BR>\n" );
document.write( "(B) If the bank contains nickels, dimes, and quarters, how many<BR>\n" );
document.write( "coins of each type does it contain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732951 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A:<BR>\n" );
document.write( "nickles dimes only<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28n%2Bd=30%2C5n%2B10d=190%29 ALIGN=MIDDLE  ALT=\"system%28n%2Bd=30%2C5n%2B10d=190%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B:<BR>\n" );
document.write( "nickles, dimes, quarters<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28n%2Bd%2Bq=30%2C5n%2B10d%2B25q=190%29 ALIGN=MIDDLE  ALT=\"system%28n%2Bd%2Bq=30%2C5n%2B10d%2B25q=190%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(might need to consider more than one solution)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Continuing B:\r<BR>\n" );
document.write( "\n" );
document.write( "Let k=q.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28n%2Bd=30-k%2Cn%2B2d=38-5k%29 ALIGN=MIDDLE  ALT=\"system%28n%2Bd=30-k%2Cn%2B2d=38-5k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "E2-E1------->\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=38-5k-30%2Bk ALIGN=MIDDLE  ALT=\"d=38-5k-30%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28d=8-4k%29 ALIGN=MIDDLE  ALT=\"highlight_green%28d=8-4k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Note that only Natural Number values are acceptable if combination must contain nickles, dimes, and quarters.  <BR>\n" );
document.write( "Also note <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0 ALIGN=MIDDLE  ALT=\"k=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > not relevant, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E=2 ALIGN=MIDDLE  ALT=\"k%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > not acceptable, leading to wrong kind of number.\r<BR>\n" );
document.write( "\n" );
document.write( "Only k possible is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1 ALIGN=MIDDLE  ALT=\"k=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=8-4%2A1 ALIGN=MIDDLE  ALT=\"d=8-4%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=8-4 ALIGN=MIDDLE  ALT=\"d=8-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=4 ALIGN=MIDDLE  ALT=\"d=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Combination should be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28q=k=1%2Cd=4%2Cn=25%29 ALIGN=MIDDLE  ALT=\"system%28q=k=1%2Cd=4%2Cn=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Quarters:  1<BR>\n" );
document.write( "Dimes:  4<BR>\n" );
document.write( "Nickles:  25<BR>\n" );
document.write( "Cents total ------- 190\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );