document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81160>Question 81160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jill has $3.50 in nickels and dimes.  If she has 50 coins, how many of each type of coin does she have?<BR>\n" );
document.write( "Nickels:<BR>\n" );
document.write( "Dimes: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58193 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a problem with 2 equations and 2 unknowns. Any time you have at least as many equations as you have unknowns, you can solve the problem!<BR>\n" );
document.write( "Let N= number of Nickels<BR>\n" );
document.write( "Let D= number of Dimes<BR>\n" );
document.write( "From the given information, you know:<BR>\n" );
document.write( "Equation #1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N%2B0.1D=3.5 ALIGN=MIDDLE  ALT=\"0.05N%2B0.1D=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 0.05 is the value (in dollars) of 1 Nickel, and 0.1 is the value (in dollars) of 1 Dime.<BR>\n" );
document.write( "Since you know Jill has 50 coins, you can form the second equation from this information:<BR>\n" );
document.write( "Equation #2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD=50 ALIGN=MIDDLE  ALT=\"N%2BD=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have your 2 equations and 2 unknowns, so you are good to go!<BR>\n" );
document.write( "First, solve Equation #2 for D:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=50-N ALIGN=MIDDLE  ALT=\"D=50-N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that uou have this expression for D, substitute it into Equation #1 and solve for N:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N%2B0.1%2850-N%29=3.5 ALIGN=MIDDLE  ALT=\"0.05N%2B0.1%2850-N%29=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N%2B5-0.1N=3.5 ALIGN=MIDDLE  ALT=\"0.05N%2B5-0.1N=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.05N-0.1N=-1.5 ALIGN=MIDDLE  ALT=\"0.05N-0.1N=-1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.05N=-1.5 ALIGN=MIDDLE  ALT=\"-0.05N=-1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28N=30%29 ALIGN=MIDDLE  ALT=\"highlight%28N=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you have a value for N, substitute that in to Equation #2 and solve for D:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2BD=50 ALIGN=MIDDLE  ALT=\"N%2BD=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2BD=50 ALIGN=MIDDLE  ALT=\"30%2BD=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D=20%29 ALIGN=MIDDLE  ALT=\"highlight%28D=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );