document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158536>Question 1158536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Robert has $14.60 in nickels, dimes, quarters and loonies. He has 4 times as many dimes as nickels, 3 times as many quarters as nickels and 3 less loonies than nickels. He has 69 coins all together. How many of each coin does he have? Answer algebraically and show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781481 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=781481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nickels are 5c each<BR>\n" );
document.write( "dimes are 10c each<BR>\n" );
document.write( "quarters are 25c each<BR>\n" );
document.write( "loonies?<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the value in cents of 1 loony<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of nickels<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=+q+ ALIGN=MIDDLE  ALT=\"+q+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of quarters<BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+4n+ ALIGN=MIDDLE  ALT=\"+d+=+4n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+3n+ ALIGN=MIDDLE  ALT=\"+q+=+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) number of loonies = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+-+3+ ALIGN=MIDDLE  ALT=\"+n+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++n+%2B+d+%2B+q+%2B+n+-+3+=+69+ ALIGN=MIDDLE  ALT=\"++n+%2B+d+%2B+q+%2B+n+-+3+=+69+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+10d+%2B+25q+%2B+x%2A%28+n+-+3+%29+=+1460+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+%2B+x%2A%28+n+-+3+%29+=+1460+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in cents )<BR>\n" );
document.write( "---------------------------------------------------------------<BR>\n" );
document.write( "I have 4 unknowns and 4 equations, so it's solvable<BR>\n" );
document.write( "Add (1) and (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+q+=+7n+ ALIGN=MIDDLE  ALT=\"+d+%2B+q+=+7n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this result into (4)<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++n+%2B+d+%2B+q+%2B+n+-+3+=+69+ ALIGN=MIDDLE  ALT=\"++n+%2B+d+%2B+q+%2B+n+-+3+=+69+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++n+%2B+7n+%2B+n+-+3+=+69+ ALIGN=MIDDLE  ALT=\"++n+%2B+7n+%2B+n+-+3+=+69+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9n+=+72+ ALIGN=MIDDLE  ALT=\"+9n+=+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+8+ ALIGN=MIDDLE  ALT=\"+n+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+4n+ ALIGN=MIDDLE  ALT=\"+d+=+4n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+4%2A8+ ALIGN=MIDDLE  ALT=\"+d+=+4%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+32+ ALIGN=MIDDLE  ALT=\"+d+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+3n+ ALIGN=MIDDLE  ALT=\"+q+=+3n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+3%2A8+ ALIGN=MIDDLE  ALT=\"+q+=+3%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+q+=+24+ ALIGN=MIDDLE  ALT=\"+q+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "Number of loonies = <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+-+3+=+8+-+3+ ALIGN=MIDDLE  ALT=\"+n+-+3+=+8+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+-+3+=+5+ ALIGN=MIDDLE  ALT=\"+n+-+3+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "He has:<BR>\n" );
document.write( "8 nickels<BR>\n" );
document.write( "32 dimes<BR>\n" );
document.write( "24 quarters<BR>\n" );
document.write( "5 loonies<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5n+%2B+10d+%2B+25q+%2B+x%2A%28+n+-+3+%29+=+1460+ ALIGN=MIDDLE  ALT=\"+5n+%2B+10d+%2B+25q+%2B+x%2A%28+n+-+3+%29+=+1460+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in cents )<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A8+%2B+10%2A32+%2B+25%2A24+%2B+x%2A%28+8+-+3+%29+=+1460+ ALIGN=MIDDLE  ALT=\"+5%2A8+%2B+10%2A32+%2B+25%2A24+%2B+x%2A%28+8+-+3+%29+=+1460+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in cents )<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+%2B+320+%2B+600+%2B+5x+=+1460+ ALIGN=MIDDLE  ALT=\"+40+%2B+320+%2B+600+%2B+5x+=+1460+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in cents )<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+=+500+ ALIGN=MIDDLE  ALT=\"+5x+=+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+100+ ALIGN=MIDDLE  ALT=\"+x+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A loony is worth 100c or $1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );