document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288473>Question 288473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man has 20 coins consisting of dimes and quarters. if the dimes were quarters and the quarters were dimes, he would have ninety cents more than he has now. how many dimes and 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 #209102 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=209102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a man has 20 coins consisting of dimes and quarters.<BR>\n" );
document.write( " if the dimes were quarters and the quarters were dimes,<BR>\n" );
document.write( " he would have ninety cents more than he has now. <BR>\n" );
document.write( "how many dimes and quarters does he have?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = original number of dimes<BR>\n" );
document.write( "let y = original number of quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "total coin equation<BR>\n" );
document.write( "x + y = 20<BR>\n" );
document.write( "y = (20-x); use for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"if the dimes were quarters and the quarters were dimes,<BR>\n" );
document.write( " he would have ninety cents more than he has now.\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Amt now  = amt when reversed - .90<BR>\n" );
document.write( ".10x + .25y  = .10y + .25x - .90<BR>\n" );
document.write( ".25y - 10y = .25x - .10x - 90<BR>\n" );
document.write( ".15y = .15x - .90<BR>\n" );
document.write( "Replace y with (20-x)<BR>\n" );
document.write( ".15(20-x) = .15x - .90<BR>\n" );
document.write( "3.00 - .15x = .15x - .90<BR>\n" );
document.write( "3.00 + .90 = .15x + .15x<BR>\n" );
document.write( "3.90 = .30x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.9%2F.3 ALIGN=MIDDLE  ALT=\"3.9%2F.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 13 dimes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "y = 20-13 = 7 quarters<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the values<BR>\n" );
document.write( "reversed: 7(.10) + 13(.25) = 3.95<BR>\n" );
document.write( "original: 13(.10) + 7(.25) = 3.05<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "difference: .90\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );