document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176729>Question 176729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maggie makes a $9.25 purchase at a bookstore in Reno with a $20 bill. The store has no bills and gives her the change in quarters and fifty-cent pieces. There are 30 coins in all. How many of each kind are there?<BR>\n" );
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document.write( "please help me! 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 #131795 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of quarters: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The number of 50c pieces: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Given:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+%2B+f+=+30 ALIGN=MIDDLE  ALT=\"q+%2B+f+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The value of each quarter is 25 cents, so the value of all her quarters is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q ALIGN=MIDDLE  ALT=\"25q\"   DISABLED_style= \"max-width:90%; height:auto;\" > in cents.\r<BR>\n" );
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document.write( "Similarly the value of all her 50c pieces is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50f ALIGN=MIDDLE  ALT=\"50f\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The total value of her change is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20+-+9.25+=+10.75 ALIGN=MIDDLE  ALT=\"20+-+9.25+=+10.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars which is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1075 ALIGN=MIDDLE  ALT=\"1075\"   DISABLED_style= \"max-width:90%; height:auto;\" > cents.  The value of the quarters plus the value of the 50c pieces must equal the total value of the change, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25q+%2B+50f+=+1075 ALIGN=MIDDLE  ALT=\"25q+%2B+50f+=+1075\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the first equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" >:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+%2B+f+=+30 ALIGN=MIDDLE  ALT=\"q+%2B+f+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8594; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+30+-+f ALIGN=MIDDLE  ALT=\"q+=+30+-+f\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Substitute this expression for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the second equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%2825%2Ared%28q%29+%2B+50f+=+1075%2C+25%2Ared%28%2830+-+f%29%29+%2B+50f+=+1075%29 ALIGN=MIDDLE  ALT=\"cartoon%2825%2Ared%28q%29+%2B+50f+=+1075%2C+25%2Ared%28%2830+-+f%29%29+%2B+50f+=+1075%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2830+-+f%29+%2B+50f+=+1075 ALIGN=MIDDLE  ALT=\"25%2830+-+f%29+%2B+50f+=+1075\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=750+-+25f+%2B+50f+=+1075 ALIGN=MIDDLE  ALT=\"750+-+25f+%2B+50f+=+1075\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25f+=+325 ALIGN=MIDDLE  ALT=\"25f+=+325\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+13 ALIGN=MIDDLE  ALT=\"f+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there were 13 half-dollars, and therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+-+13+=+17 ALIGN=MIDDLE  ALT=\"30+-+13+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" > quarters.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17+%2A+.25+=+4.25 ALIGN=MIDDLE  ALT=\"17+%2A+.25+=+4.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13+%2A+.50+=+6.50 ALIGN=MIDDLE  ALT=\"13+%2A+.50+=+6.50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.25+%2B+6.50+=+10.75 ALIGN=MIDDLE  ALT=\"4.25+%2B+6.50+=+10.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Checks.<BR>\n" );
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