document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211145>Question 211145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you have 55 coins totaling $10.00. There are more nickels than pennies, more dimes than nickels and more quarters than dimes.  How many of each coin do you have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159659 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you have 55 coins totaling $10.00. <BR>\n" );
document.write( "There are more nickels than pennies, more dimes than nickels and more quarters than dimes.<BR>\n" );
document.write( "How many of each coin do you have?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p + n + d + q = 55<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A lot of unknown here, have to make some assumptions,<BR>\n" );
document.write( " has to be a lot of quarters; assume there are 35 quarters<BR>\n" );
document.write( "then<BR>\n" );
document.write( "p + n + d = 55 - 35<BR>\n" );
document.write( "p + n + d = 20<BR>\n" );
document.write( "and<BR>\n" );
document.write( ".01p + .05n + .10d  = 10 - 8.75<BR>\n" );
document.write( ".01p + .05n + .10d  = 1.25<BR>\n" );
document.write( "Multiply by 100<BR>\n" );
document.write( "p + 5n + 10d = 125<BR>\n" );
document.write( ":<BR>\n" );
document.write( "subtract the 1st equation from the above equation:<BR>\n" );
document.write( "p + 5n + 10d = 125<BR>\n" );
document.write( "p + n + d = 20<BR>\n" );
document.write( "------------------------- subtraction eliminates p<BR>\n" );
document.write( "0p + 4n + 9d  = 105<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4n = 105 - 9d <BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28105+-+9d%29%2F4 ALIGN=MIDDLE  ALT=\"%28105+-+9d%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Try values for d which give an positive integer value for n that is less than d (only have one)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "d = 9 then n = 6<BR>\n" );
document.write( "find p <BR>\n" );
document.write( "p = 20 - 9 - 6<BR>\n" );
document.write( "p = 5 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "so we have 5 pennies, 6 nickels, 9 dimes and 35 quarters (55 coins)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check the value: <BR>\n" );
document.write( ".01(5) + .05(6) + .10(9) + .25(35) = 10.00<BR>\n" );
document.write( ".05 + .30 + .90 + 8.75 = 10\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );