document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124866>Question 124866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You have 12 coins, all quarters and dimes. Let q=quarters and d=dimes. What system would model this given information? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91508 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have q quarters and d dimes.  Since you have 12 coins, all of which are either quarters or dimes, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28q%2Bd=12%29 ALIGN=MIDDLE  ALT=\"red%28q%2Bd=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >: Equation 1 of your system.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, the value of a quarter is 25 cents, so the value of all your q quarters is 25q cents.  Likewise the value of your d dimes is 10d cents.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The total value of your money is $1.95, which can be expressed as 195 cents, therefore:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%2825q+%2B+10d=195%29 ALIGN=MIDDLE  ALT=\"red%2825q+%2B+10d=195%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:  Equation 2 of your system.  Alternatively, if you didn't want to convert the $1.95 to cents, you could express the value of the quarters as .25q and the value of dimes as .10d, making the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25q%2B0.10d=1.95 ALIGN=MIDDLE  ALT=\"0.25q%2B0.10d=1.95\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  I would rather deal with integer coefficients myself, but it is purely a matter of personal preference.  Given proper solution methods and correct arithmetic, you will get the same answer either way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, how many of each coin do you have? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );