document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092795>Question 1092795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 44 coins in a purse that contains nickles, dimes, and quarters. There are twice as many dimes as quarters and 4 more nickles than quarters. How many coins of each type are in the purse? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707427 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 44 coins in a purse that contains nickles, dimes, and quarters.<BR>\n" );
document.write( "n + d + q = 44<BR>\n" );
document.write( " There are twice as many dimes as quarters<BR>\n" );
document.write( "q = 2d<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "d = .5q<BR>\n" );
document.write( " and 4 more nickles than quarters.<BR>\n" );
document.write( "q = n + 4<BR>\n" );
document.write( "subtract 4 from both side<BR>\n" );
document.write( "n = q - 4<BR>\n" );
document.write( " How many coins of each type are in the purse? <BR>\n" );
document.write( "In the first equation, replace d with .5q and replace n with (q - 4) <BR>\n" );
document.write( "(q-4) + .5q + q = 44<BR>\n" );
document.write( "Combine like terms add 4 to both sides<BR>\n" );
document.write( "2.5q = 48<BR>\n" );
document.write( "q = 48/2.5<BR>\n" );
document.write( "q = 19.2!! Something is wrong with this problem; this has to be an integer! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );