document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047366>Question 1047366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have a collection of nickels, dimes, and quarters in a money bag worth $16.85. If the number of quarters is two hundred thirty-seven less than three times the number of nickels and the number of dimes is one hundred sixty-nine less than twice the number of nickels, find the number of each type of coin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662934 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=662934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  i have a collection of nickels, dimes, and quarters in a money bag worth $16.85. If the number of quarters is two hundred thirty-seven less than three times the number of nickels and the number of dimes is one hundred sixty-nine less than twice the number of nickels, find the number of each type of coin.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let n = no. of nickels<BR>\n" );
document.write( "let d = no. of dimes<BR>\n" );
document.write( "let = no. of quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If the number of quarters is two hundred thirty-seven less than three times the number of nickels\"<BR>\n" );
document.write( "q = 3n-237<BR>\n" );
document.write( "\"and the number of dimes is one hundred sixty-nine less than twice the number of nickels\"<BR>\n" );
document.write( "d = n-169<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".05n + .10d + .25q = 16.85<BR>\n" );
document.write( "replace d and q<BR>\n" );
document.write( ".05n + .10(2n-169) + .25(3n-237) = 16.85<BR>\n" );
document.write( ".05n + .20n + .75n - 76.15 = 16.85<BR>\n" );
document.write( "1.0n = 16.85 + 76.15<BR>\n" );
document.write( "n = 93 nickels<BR>\n" );
document.write( "find d<BR>\n" );
document.write( "d = 2(93) - 169<BR>\n" );
document.write( "d = 17 dimes<BR>\n" );
document.write( "find q<BR>\n" );
document.write( "q = 3(93) - 237<BR>\n" );
document.write( "q = 42 quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "see if this adds up<BR>\n" );
document.write( "93(.05) = 4.65<BR>\n" );
document.write( "17(.10) = 1.70<BR>\n" );
document.write( "42(.25)= 10.50<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Total $: 16.85<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );