document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=591742>Question 591742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have  $1.45 in nickels and dimes, if the nickels had been dimes and the dimes had been nickels, I would have $1.25. How many nickels and dimes do I actually have? Please explain step by step thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375744 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=375744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n = original number of nickels<BR>\n" );
document.write( "Let d = original number of dimes<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"I have $1.45 in nickels and dimes,\"<BR>\n" );
document.write( ".05n + .10d = 1.45<BR>\n" );
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document.write( "\"if the nickels had been dimes and the dimes had been nickels, I would have $1.25.\"<BR>\n" );
document.write( ".10n + .05d = 1.25<BR>\n" );
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document.write( "Multiply the 1st equation by 2, subtract the 2nd equation<BR>\n" );
document.write( ".10n + .20d = 2.90<BR>\n" );
document.write( ".10n + .05d = 1.25<BR>\n" );
document.write( "-------------------- subtraction eliminates n, find d<BR>\n" );
document.write( " 0 + .15d = 1.65<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.65%2F.15 ALIGN=MIDDLE  ALT=\"1.65%2F.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 11 dimes originally<BR>\n" );
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document.write( "Use the 1st equation to find n, replace d with 11<BR>\n" );
document.write( ".05n + .10(11) = 1.25<BR>\n" );
document.write( ".05n + 1.10 = 1.25<BR>\n" );
document.write( ".05n = 1.25 - 1.10<BR>\n" );
document.write( ".05n = .15<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.15%2F.05 ALIGN=MIDDLE  ALT=\".15%2F.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 3 nickels originally<BR>\n" );
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document.write( "Check these solutions using the statement:<BR>\n" );
document.write( "if the nickels had been dimes and the dimes had been nickels, I would have $1.25.\"<BR>\n" );
document.write( "3(.05) + .10(11) = <BR>\n" );
document.write( ".15 + 1.10 = 1.25; confirms our solutions of n=3, d=11\r<BR>\n" );
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document.write( " </SPAN>\n" );
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