document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=660238>Question 660238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a child has $17.55 worth of nickels and dimes in her piggy bank. There are a total of 207 coins. How many of each does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411097 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=411097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = # of nickels<BR>\n" );
document.write( "y = # of dimes\r<BR>\n" );
document.write( "\n" );
document.write( "x + y = 207<BR>\n" );
document.write( ".05x + .1y = 17.55\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply the first equation by -.05 and add the second equation<BR>\n" );
document.write( "-.05(x+y=207)<BR>\n" );
document.write( "-.05x - .05y = -10.35\r<BR>\n" );
document.write( "\n" );
document.write( "-.05x + .05x - .05y + .1y = -10.35 + 17.55<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( ".05y = 7.2<BR>\n" );
document.write( ".05y/.05 = 7.2/.05<BR>\n" );
document.write( "y = 144 dimes\r<BR>\n" );
document.write( "\n" );
document.write( "Plug into first equation<BR>\n" );
document.write( "x + 144 = 207<BR>\n" );
document.write( "x = 207 - 144<BR>\n" );
document.write( "x = 63 nickles\r<BR>\n" );
document.write( "\n" );
document.write( "Proof<BR>\n" );
document.write( "(.1)144 = 14.40<BR>\n" );
document.write( "(.05)63 = 3.15<BR>\n" );
document.write( "14.40+3.15=17.55 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );