document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149607>Question 149607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a collection of 70 coins consisting of dimes, quarters, and half-dollars has a value of $17.75. There are three times as many quarters as dimes. find the number of each kind of coin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109789 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D-dimes<BR>\n" );
document.write( "Q-quarters<BR>\n" );
document.write( "H-half dollars<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2BQ%2BH=70 ALIGN=MIDDLE  ALT=\"D%2BQ%2BH=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > Total count of coins.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10D%2B0.25Q%2B0.50H=17.75 ALIGN=MIDDLE  ALT=\"0.10D%2B0.25Q%2B0.50H=17.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Total value of coins.<BR>\n" );
document.write( "3.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q=3D ALIGN=MIDDLE  ALT=\"Q=3D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Three times dimes equals quarters.<BR>\n" );
document.write( "Use eq. 3 to substitute for Q in eq. 1 and 2.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2BQ%2BH=70 ALIGN=MIDDLE  ALT=\"D%2BQ%2BH=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2B3D%2BH=70 ALIGN=MIDDLE  ALT=\"D%2B3D%2BH=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We'll call that equation 1a.<BR>\n" );
document.write( "1a.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4D%2BH=70 ALIGN=MIDDLE  ALT=\"4D%2BH=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10D%2B0.25Q%2B0.50H=17.75 ALIGN=MIDDLE  ALT=\"0.10D%2B0.25Q%2B0.50H=17.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First multiply by 100 to get rid of decimals.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10D%2B25Q%2B50H=1775 ALIGN=MIDDLE  ALT=\"10D%2B25Q%2B50H=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10D%2B25%283D%29%2B50H=1775 ALIGN=MIDDLE  ALT=\"10D%2B25%283D%29%2B50H=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10D%2B75D%2B50H=1775 ALIGN=MIDDLE  ALT=\"10D%2B75D%2B50H=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We'll call that equation 2a.<BR>\n" );
document.write( "2a.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85D%2B50H=1775 ALIGN=MIDDLE  ALT=\"85D%2B50H=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use eq. 1a to come up with an expression for H as a function of D.<BR>\n" );
document.write( "1a.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4D%2BH=70 ALIGN=MIDDLE  ALT=\"4D%2BH=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=70-4D ALIGN=MIDDLE  ALT=\"H=70-4D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute into eq. 2a,<BR>\n" );
document.write( "2a.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85D%2B50H=1775 ALIGN=MIDDLE  ALT=\"85D%2B50H=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85D%2B50%2870-4D%29=1775 ALIGN=MIDDLE  ALT=\"85D%2B50%2870-4D%29=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85D%2B3500-200D=1775 ALIGN=MIDDLE  ALT=\"85D%2B3500-200D=1775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-115D=-1725 ALIGN=MIDDLE  ALT=\"-115D=-1725\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=15 ALIGN=MIDDLE  ALT=\"D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 3,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q=3D ALIGN=MIDDLE  ALT=\"Q=3D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q=3%2815%29 ALIGN=MIDDLE  ALT=\"Q=3%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q=45 ALIGN=MIDDLE  ALT=\"Q=45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1a,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=70-4D ALIGN=MIDDLE  ALT=\"H=70-4D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=70-4%2A15 ALIGN=MIDDLE  ALT=\"H=70-4%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=70-60 ALIGN=MIDDLE  ALT=\"H=70-60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=10 ALIGN=MIDDLE  ALT=\"H=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 15 dimes, 45 quarters, and 10 half dollars.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );