document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=517095>Question 517095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 223 coins total of quarters, dimes, and nickels. The total value of the coins is $20.10. How many coins do I have of each?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344673 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=223=Q%2BD%2BN ALIGN=MIDDLE  ALT=\"223=Q%2BD%2BN\"   DISABLED_style= \"max-width:90%; height:auto;\" > where QDN = amount of each coin<BR>\n" );
document.write( "a quarter is .25 dime .10 nickel .05<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20.10=.25Q%2B.10D%2B.05N ALIGN=MIDDLE  ALT=\"20.10=.25Q%2B.10D%2B.05N\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "oh boy elimination and substitution  fun<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20.10=.25Q%2B.1D%2B.05N ALIGN=MIDDLE  ALT=\"20.10=.25Q%2B.1D%2B.05N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1%28223%29=.1%28Q%2BD%2BN%29 ALIGN=MIDDLE  ALT=\".1%28223%29=.1%28Q%2BD%2BN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22.3=.1Q%2B.1D%2B.1N%29 ALIGN=MIDDLE  ALT=\"-22.3=.1Q%2B.1D%2B.1N%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtrct to eliminate dimes<BR>\n" );
document.write( "42.40=.15Q-.5N<BR>\n" );
document.write( ".<BR>\n" );
document.write( "the prob above is that i dont have a 3rd equation and cant do much without one, like if they said there was 100 more dimes than nickels then id have a third equation and could solve this better(d=100+n).<BR>\n" );
document.write( ".<BR>\n" );
document.write( "yeh im gonna do guess n check<BR>\n" );
document.write( "im sure someone can do all that math but guess n check works to:<BR>\n" );
document.write( "right off bat 80 quarters is $20 so you know there will be very few quarters<BR>\n" );
document.write( "200 dimes is $20 so there will be alot of dimes<BR>\n" );
document.write( "so i started by taking 50 from the dimes to make 150 coins then 70 nickles to make 220 coins and then started swaping coins around to stay in the 220s till i got the right combo, i tried to keep the total at a constant 20.10 and realized i either needed 1 extra dime or 2 extra nickels 2 make that 10 cents<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "6q=1.50 150d=15 72n=3.60  228=>20.10 nope<BR>\n" );
document.write( "8q=2 150d=15 62n=3.10 220=>20.10 nope<BR>\n" );
document.write( "5q=1.25 157d=15.70 63n=3.15  225=>20.10 nope<BR>\n" );
document.write( "5q=1.25 159d=15.90 59n=2.95  223=>20.10 YES<BR>\n" );
document.write( "Q=5, D=159, N=59\r<BR>\n" );
document.write( "\n" );
document.write( "apparently theres more than 1 solution lol </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );