document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=381914>Question 381914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following using a system of equations;<BR>\n" );
document.write( "Rod has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270819 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rod has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq. d + q = 40<BR>\n" );
document.write( "Value Eq:: 10d+25q = 760<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Multiply thru the Quantity equation by 10 to get:<BR>\n" );
document.write( "10d + 10q = 10*40<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Subtract that from the Value Eq and solve for \"q\":<BR>\n" );
document.write( "15q = 360<BR>\n" );
document.write( "q = 24 (# of quarters)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute into d+q = 40 and solve for \"d\":<BR>\n" );
document.write( "d + 24 = 40<BR>\n" );
document.write( "d = 16 (# of dimes)<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );