document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=592268>Question 592268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a jar containing only nickels and dimes contains a total of 50 coins. the value of all the coins in the jar is $4.10. find the amount of nickels and dimes that are in the jar? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375893 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=375893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d = number of dimes and q = number of quarters\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since \"a jar containing only nickels and dimes contains a total of 50 coins\", we know that \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d+q = 50\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Basically take the individual totals of each and add them up to get 50 coins total.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is equation 1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you have d dimes, then the total value of them is 0.1d dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you have q quarters, then the total value is 0.25q dollars\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "These two add to:   0.1d + 0.25q\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and this expression is equal to $4.10, so...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0.1d + 0.25q = 4.10\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now multiply everything by 100 to get\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10d + 25q = 410\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is equation 2.\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "So we have two equations\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d+q = 50 <BR>\n" );
document.write( "10d + 25q = 410\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "with 2 unknowns. So you can either use substitution or elimination to solve.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I recommend substitution. Solve for d  to get d = 50 - q, then substitute this into 10d+25q = 410 to get\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10(50-q) + 25q = 410\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From here, you can solve for q, which I'll let you do.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Once you have the value of 'q', use it to find the value of 'd'. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );