document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292458>Question 292458</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Joe had  nickles and dimes worth $6.30.  If the dimes were doubled and the number of nickles increased by 15, the value of the coins would be $10.75.  How many dimes 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 #211249 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=211249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n = original no. of nickels<BR>\n" );
document.write( "Let d = original no. of dimes<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "Joe had nickles and dimes worth $6.30.<BR>\n" );
document.write( ".05n + .10d = 6.30<BR>\n" );
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document.write( " If the dimes were doubled and the number of nickles increased by 15,<BR>\n" );
document.write( " the value of the coins would be $10.75.<BR>\n" );
document.write( ".05(n+15) + 2(.10d) = 10.75<BR>\n" );
document.write( ".05n + .75 + .20d = 10.75<BR>\n" );
document.write( ".05n + .20d = 10.75 -.75<BR>\n" );
document.write( ".05n + .20d = 10.00<BR>\n" );
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document.write( "We can use elimination here, subtract the 1st equation from the above equation<BR>\n" );
document.write( ".05n + .20d = 10.00<BR>\n" );
document.write( ".05n + .10d = 6.30<BR>\n" );
document.write( "----------------------subtraction eliminates n, find d<BR>\n" );
document.write( ".10d = 3.70<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.7%2F.1 ALIGN=MIDDLE  ALT=\"3.7%2F.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 37 dimes<BR>\n" );
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document.write( "Check solution.<BR>\n" );
document.write( "Find the no. of nickels<BR>\n" );
document.write( ".05n + .10(37) = 6.30<BR>\n" );
document.write( ".05n = 6.30 - 3.70<BR>\n" );
document.write( ".05n = 2.60<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.6%2F.05 ALIGN=MIDDLE  ALT=\"2.6%2F.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 52 nickels<BR>\n" );
document.write( "then<BR>\n" );
document.write( ".05(52) = .10(37) <BR>\n" );
document.write( "2.60 + 3.70 = 6.30; confirms our solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
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