document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176676>Question 176676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a total of 25 coins in Nickles, Dimes, and Quarters.  There are four times as many dimes as quarters.  The total vaule of the change is $2.05, how many of each coin is there?\r<BR>\n" );
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document.write( "I have tried a few equations:<BR>\n" );
document.write( "1)  5(x-5)+10(4x)+25(x+15)=205<BR>\n" );
document.write( "2)  5(x-20)+10(4x-15)+25x=205<BR>\n" );
document.write( "3)  5x+10(4x)+25x+=205\r<BR>\n" );
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document.write( "I know this can be solved with multiple variables, but I am suppose to solve it with one.  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131751 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=131751\">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=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( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+d+%2B+q+=+25 ALIGN=MIDDLE  ALT=\"n+%2B+d+%2B+q+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+4q ALIGN=MIDDLE  ALT=\"d+=+4q\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In pennies:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n+%2B+10d+%2B+25q+=+205 ALIGN=MIDDLE  ALT=\"5n+%2B+10d+%2B+25q+=+205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "Multiply (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract from (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n+%2B+10d+%2B+25q+=+205 ALIGN=MIDDLE  ALT=\"5n+%2B+10d+%2B+25q+=+205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5n+-+5d+-+5q+=+-125 ALIGN=MIDDLE  ALT=\"-5n+-+5d+-+5q+=+-125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d+%2B+20q+=+80 ALIGN=MIDDLE  ALT=\"5d+%2B+20q+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And using (2),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A4q+%2B+20q+=+80 ALIGN=MIDDLE  ALT=\"5%2A4q+%2B+20q+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40q+=+80 ALIGN=MIDDLE  ALT=\"40q+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+2 ALIGN=MIDDLE  ALT=\"q+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+4q ALIGN=MIDDLE  ALT=\"d+=+4q\"   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 ALIGN=MIDDLE  ALT=\"d+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+d+%2B+q+=+25 ALIGN=MIDDLE  ALT=\"n+%2B+d+%2B+q+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+%2B+8+%2B+2+=+25 ALIGN=MIDDLE  ALT=\"n+%2B+8+%2B+2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+15 ALIGN=MIDDLE  ALT=\"n+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 15 nickels, 8 dimes and 2 quarters<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n+%2B+10d+%2B+25q+=+205 ALIGN=MIDDLE  ALT=\"5n+%2B+10d+%2B+25q+=+205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A15+%2B+10%2A8+%2B+25%2A2+=+205 ALIGN=MIDDLE  ALT=\"5%2A15+%2B+10%2A8+%2B+25%2A2+=+205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75+%2B+80+%2B+50+=+205 ALIGN=MIDDLE  ALT=\"75+%2B+80+%2B+50+=+205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=205+=+205 ALIGN=MIDDLE  ALT=\"205+=+205\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );