document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126636>Question 126636</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling on this problem for a while now and I was wondering if anyone could help me?  I would deeply appreciate it!! Please and Thank you!!\r<BR>\n" );
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document.write( "Solving Problems Involving Inequalities<BR>\n" );
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document.write( "A collection of quarter and dimes is worth more than $20.  There are twice as many quarters as dimes. At least how many dimes are there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92788 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=92788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A collection of quarter and dimes is worth more than $20. There are twice as many quarters as dimes. At least how many dimes are there?<BR>\n" );
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document.write( "Write an equation for each statement: d = no. of dimes; q = no. of quarters<BR>\n" );
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document.write( "\"A collection of quarter and dimes is worth more than $20.\"<BR>\n" );
document.write( "  .25q + .10d > 20.00<BR>\n" );
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document.write( "\" There are twice as many quarters as dimes.\"<BR>\n" );
document.write( "   q = 2d<BR>\n" );
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document.write( "At least how many dimes are there?<BR>\n" );
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document.write( "Substitute 2d for q in the 1st equation and find d:<BR>\n" );
document.write( ".25(2d) .10d > 20<BR>\n" );
document.write( ".5d + .1d > 20<BR>\n" );
document.write( ".6d > 20<BR>\n" );
document.write( "d > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F.6 ALIGN=MIDDLE  ALT=\"20%2F.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d > 33.33 not possible so we can say At least 34 dimes<BR>\n" );
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document.write( "WE can check this, it means we have 68 quarters and 34 dimes<BR>\n" );
document.write( ".25(68) + .10(34) = 20.40<BR>\n" );
document.write( "if we had only 33 dimes<BR>\n" );
document.write( ".25(66) + .10(33) = 19.80 less than 20<BR>\n" );
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document.write( "Did I make this understandable here?  </SPAN>\n" );
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