document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371773>Question 371773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kim has a bunch of coins which are all nickels, dimes and quarters. Her dimes and her quaters add up to $7.85. Her quaters and her nickels add up to $6.35. Her nickels and her dimes add up to $4.70. Write equations to help figure out how many nickels, dimes and quarters she has. Then solve for each variable. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264845 by </B><A HREF=/tutors/aboutme.mpl?userid=Math-Help><B>Math-Help(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Math-Help><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nickels = .05<BR>\n" );
document.write( "dimes = .10<BR>\n" );
document.write( "quarters = .25\r<BR>\n" );
document.write( "\n" );
document.write( "Let x = number of nickels<BR>\n" );
document.write( "Let y = number of dimes<BR>\n" );
document.write( "Let z = number of quarters\r<BR>\n" );
document.write( "\n" );
document.write( ".10y + .25z = 7.85<BR>\n" );
document.write( ".05x + .25z = 6.35<BR>\n" );
document.write( ".05x + .10y = 4.70\r<BR>\n" );
document.write( "\n" );
document.write( "Using the elimination method: <BR>\n" );
document.write( ".10y + .25z = 7.85<BR>\n" );
document.write( "-(.05x + .25z = 6.35)\r<BR>\n" );
document.write( "\n" );
document.write( "Thus -.05x + .10y = 1.50<BR>\n" );
document.write( "Now add:<BR>\n" );
document.write( " -.05x + .10y = 1.50<BR>\n" );
document.write( "  .05x + .10y = 4.70<BR>\n" );
document.write( "Thus .20y = 6.20<BR>\n" );
document.write( "y = 31\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute y into .05x + .10y = 4.70<BR>\n" );
document.write( ".05x + .10(31) = 4.70<BR>\n" );
document.write( ".05x + 3.10 = 4.70<BR>\n" );
document.write( ".05x = 1.60<BR>\n" );
document.write( "x = 33\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute x into .05x + .25z = 6.35<BR>\n" );
document.write( ".05(33) + .25z = 6.35<BR>\n" );
document.write( "1.60 + .25z = 6.35<BR>\n" );
document.write( ".25z = 4.75<BR>\n" );
document.write( "z = 19\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore, x=33 (nickels), y=31 (dimes), z=19 (quarters)\r<BR>\n" );
document.write( "\n" );
document.write( "Double Check:  <BR>\n" );
document.write( ".10y + .25z = 7.85<BR>\n" );
document.write( ".10(31) + .25(19) =?= 7.85<BR>\n" );
document.write( "3.10 + 4.75 =?= 7.85<BR>\n" );
document.write( "7.85 = 7.85 Correct!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );