document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161472>Question 161472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Moolah has 27 coins that are all dimes and quarters. The value of th coins is $4.35. How many dimes and how many quarters does Moolah have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118929 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Moolah has 27 coins that are all dimes and quarters. The value of th coins is $4.35. How many dimes and how many quarters does Moolah have?<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "D + Q = 27   (a total of 27 coins)<BR>\n" );
document.write( "10D + 25Q = 435 (each dime is 10 cents, each quarter 25 cents.  See that?)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Now it's 2 eqns in 2 variables, no longer a \"word problem\"<BR>\n" );
document.write( "Substitution is the easiest approach.<BR>\n" );
document.write( "Since D + Q = 27, D = 27-Q.<BR>\n" );
document.write( "Sub for D in the 2nd eqn<BR>\n" );
document.write( "10*(27-Q) + 25Q = 435<BR>\n" );
document.write( "270 - 10Q + 25Q = 435<BR>\n" );
document.write( "270 + 15Q = 435<BR>\n" );
document.write( "15Q = 165<BR>\n" );
document.write( "Q = 11  (11 quarters)<BR>\n" );
document.write( "D = 27-Q<BR>\n" );
document.write( "D = 16<BR>\n" );
document.write( "That's it. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );