document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135052>Question 135052</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130443980/algebrahomeworkh>Algebra 1 workbook</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I translate to a system of equations and solve?\r<BR>\n" );
document.write( "\n" );
document.write( "A collection of nickels and dimes is worth $16.05.  There are 218 coins in all.  How many are nickels and how many are dimes?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98882 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=98882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d be the number of dimes.<BR>\n" );
document.write( "Let n be the number of nickels.\r<BR>\n" );
document.write( "\n" );
document.write( "Given:<BR>\n" );
document.write( "total number of coins = 218 = number of dimes + number of nickels => <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=218+=+d%2Bn ALIGN=MIDDLE  ALT=\"218+=+d%2Bn\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "total value of coins = 16.05 = 0.10d + 0.05n  (multiply the value of each coin by   the number and then add the totla for both types of coins) --> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1605+=+10d+%2B+5n ALIGN=MIDDLE  ALT=\"1605+=+10d+%2B+5n\"   DISABLED_style= \"max-width:90%; height:auto;\" >   lets convert from dollars to pennies to make things easier (we just multiplied the eqaution above by 10)\r<BR>\n" );
document.write( "\n" );
document.write( "You now have 2 equations and 2 unknowns, so you can solve this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=218+=+d%2Bn ALIGN=MIDDLE  ALT=\"218+=+d%2Bn\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=218+-+n+=+d ALIGN=MIDDLE  ALT=\"218+-+n+=+d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1605+=10d+%2B+5n ALIGN=MIDDLE  ALT=\"1605+=10d+%2B+5n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1605+=+10%28218+-+n%29+%2B+5n ALIGN=MIDDLE  ALT=\"1605+=+10%28218+-+n%29+%2B+5n\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1605+=+2180+-+10n+%2B+5n ALIGN=MIDDLE  ALT=\"1605+=+2180+-+10n+%2B+5n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-575+=+-5n ALIGN=MIDDLE  ALT=\"-575+=+-5n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=115+=+n ALIGN=MIDDLE  ALT=\"115+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You have 115 nickles.<BR>\n" );
document.write( "218-115 = 103 dimes\r<BR>\n" );
document.write( "\n" );
document.write( "Check your answer <BR>\n" );
document.write( "10.30 in dimes + 5.75 in nickels = $16.05. check!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );