document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810645>Question 810645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of 75 dimes and quarters is worth $13.65. How many of each coim are there? Solbe by using weighted averages. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488304 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=488304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A collection of 75 dimes and quarters is worth $13.65. How many of each coim are there?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Quantity Eq:: d + q = 75 coins<BR>\n" );
document.write( "Value Eq::: 10d+25a = 1365 cents<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Modify for elimination::<BR>\n" );
document.write( "10d + 10q = 10*75<BR>\n" );
document.write( "10d + 25q = 1365<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Subtract and solve for \"q\":<BR>\n" );
document.write( "15q = 615<BR>\n" );
document.write( "q = 41 (# of quarters)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve for \"d\":<BR>\n" );
document.write( "d + q = 75<BR>\n" );
document.write( "d + 41 = 75<BR>\n" );
document.write( "d = 34 (# of dimes)<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );