document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549337>Question 549337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Betty has $20 in dimes, quarters, and half dollars.  She has 110 coins in all. There are 2 less dimes than six times the number of half dollars.  How many of each coin does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357643 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=357643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There's lots of info here, lets break it down into some different equations<BR>\n" );
document.write( "Lets have <BR>\n" );
document.write( "d=dimes<BR>\n" );
document.write( "q=quarters<BR>\n" );
document.write( "h=half dollars\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=.10d%2B.25q%2B.50h ALIGN=MIDDLE  ALT=\"20=.10d%2B.25q%2B.50h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We also know <BR>\n" );
document.write( "d+q+h=110\r<BR>\n" );
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document.write( "And we have that 6*h-2=d\r<BR>\n" );
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document.write( "so<BR>\n" );
document.write( "d=6*h-2\r<BR>\n" );
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document.write( "20=(6*h-2)*.10+.25q+.50h<BR>\n" );
document.write( "20=.6h-.2+.25q*+.50h<BR>\n" );
document.write( "20.2=1.1h+.25q\r<BR>\n" );
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document.write( "and<BR>\n" );
document.write( "6*h-2+q+h=110\r<BR>\n" );
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document.write( "7h+q=112\r<BR>\n" );
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document.write( "So now we have two equations with two variables<BR>\n" );
document.write( "20.2=1.1h+.25q<BR>\n" );
document.write( "7h+q=112\r<BR>\n" );
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document.write( "Lets use substitution to solve<BR>\n" );
document.write( "q=112-7h\r<BR>\n" );
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document.write( "20.2=1.1h+.25*(112-7h)<BR>\n" );
document.write( "20.2=1.1h+28-1.75h<BR>\n" );
document.write( "-7.80=-.65h<BR>\n" );
document.write( "h=12\r<BR>\n" );
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document.write( "q=112-7h<BR>\n" );
document.write( "q=112-7*12\r<BR>\n" );
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document.write( "q=28\r<BR>\n" );
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document.write( "d+q+h=110<BR>\n" );
document.write( "d+28+12=110\r<BR>\n" );
document.write( "\n" );
document.write( "d=70\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );