document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201312>Question 201312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but 3 times as many quarters as dimes. The total value of the coins was $11.40. How many coins of each type did Sam find?\r<BR>\n" );
document.write( "\n" );
document.write( "6y=11.40<BR>\n" );
document.write( "y=1.90\r<BR>\n" );
document.write( "\n" );
document.write( "3z=11.40<BR>\n" );
document.write( "z=3.80<BR>\n" );
document.write( "3.80 + 1.90=5.70<BR>\n" );
document.write( "11.40-5.70=5.70 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151532 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=number of nickels<BR>\n" );
document.write( "Then x+6=number of dimes<BR>\n" );
document.write( "And 3(x+6)=number of quarters<BR>\n" );
document.write( "Now lets deal in pennies<BR>\n" );
document.write( "5x+10(x+6)+25*3(x+6)=1140  get rid of parens and simplify<BR>\n" );
document.write( "5x+10x+60+75x+450=1140  collect like terms<BR>\n" );
document.write( "90x+510=1140  subtract 510 from each side<BR>\n" );
document.write( "90x=1140-510=630  divide each side by 90<BR>\n" );
document.write( "x=7-------------number of nickels<BR>\n" );
document.write( "x+6=7+6=13-------------number of dimes<BR>\n" );
document.write( "3(x+6)=3*13=39-----------number of quarters\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "5*7+10*13+39*25=1140<BR>\n" );
document.write( "35+130+975=1140<BR>\n" );
document.write( "1140=1140\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );