document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=811778>Question 811778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have 24 coins (either dimes or quarters only) in your pockets that are worth 4.50 dollars. How many coins are quarters? How many coins are dimes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488874 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dimes = x<BR>\n" );
document.write( "quarters = y<BR>\n" );
document.write( "24 coins are the number of dimes and number of quarters<BR>\n" );
document.write( "x + y = 24<BR>\n" );
document.write( "dimes are .10 and quarters are .25 and we want 4.50.<BR>\n" );
document.write( ".10x + .25y = 4.50<BR>\n" );
document.write( "now solve the first equation for y<BR>\n" );
document.write( "x + y = 24<BR>\n" );
document.write( "y = 24 - x<BR>\n" );
document.write( "now use the substitution method to plug this into the other equation.<BR>\n" );
document.write( ".10x + .25(24 - x) = 4.50<BR>\n" );
document.write( ".10x + 6 - .25x = 4.50<BR>\n" );
document.write( "-.15x = -1.50<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "now plug this into the first equation<BR>\n" );
document.write( "10 + y = 24<BR>\n" );
document.write( "y = 14<BR>\n" );
document.write( "We now know we have 10 dimes and 14 quarters. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );