document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278465>Question 278465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Emily has nickels, dimes, and quarters in her piggy bank. She has twice as many dimes as nickels and 12 fewer quarters than dimes. The total value of the coins is $9.00. How many of each coin type does Emily have? \r<BR>\n" );
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document.write( "This has had me confused for an hour. Can I get an explanation also? Thanks!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202645 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=202645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Emily has nickels, dimes, and quarters in her piggy bank. <BR>\n" );
document.write( "She has twice as many dimes as nickels and 12 fewer quarters than dimes.<BR>\n" );
document.write( " The total value of the coins is $9.00. <BR>\n" );
document.write( "How many of each coin type does Emily have? <BR>\n" );
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document.write( "Write an equation for each phrase<BR>\n" );
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document.write( "\"She has twice as many dimes as nickels \"<BR>\n" );
document.write( "d = 2n<BR>\n" );
document.write( "or divide both sides by 2 and you have:<BR>\n" );
document.write( "n = .5d<BR>\n" );
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document.write( "\"12 fewer quarters than dimes. \"<BR>\n" );
document.write( "q = (d - 12)<BR>\n" );
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document.write( "\"The total value of the coins is $9.00.\"<BR>\n" );
document.write( ".05n + .10d + .25q = 9.00<BR>\n" );
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document.write( "In the above equation, replace n with .5d, and replace q with (d-12)<BR>\n" );
document.write( ".05(.5d) + .10d + .25(d-12) = 9.00<BR>\n" );
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document.write( ".025d + .10d + .25d - 3 = 9.00<BR>\n" );
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document.write( ".375d = 9 + 3<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F.375 ALIGN=MIDDLE  ALT=\"12%2F.375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 32 dimes<BR>\n" );
document.write( "then<BR>\n" );
document.write( "n = .5d<BR>\n" );
document.write( "n = .5(32)<BR>\n" );
document.write( "n = 16 nickels<BR>\n" );
document.write( "and<BR>\n" );
document.write( "q = d - 12<BR>\n" );
document.write( "q = 32 - 12<BR>\n" );
document.write( "q = 20 quarters<BR>\n" );
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document.write( "Check all this in the total$ equation<BR>\n" );
document.write( ".05(16) + .10(32) + .25(20) = <BR>\n" );
document.write( ".80 + 3.20 + 5.00 = 9.00<BR>\n" );
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document.write( "How about this? Did we eliminate some confusion about this? <BR>\n" );
document.write( "The trick on these problems is to get all three unknowns in terms of one the<BR>\n" );
document.write( " unknowns, d in this case.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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