document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191743>Question 191743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me please? I'm having a real hard time with this.<BR>\n" );
document.write( "A student makes a $9.50 purchase at the bookstore with a 20 dollar bill. The store has no bills and gives the change in quarters and 50-cent pieces. There are 30 coins in all.How many of each kind are there? Thanks alot.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143850 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student makes a $9.50 purchase at the bookstore with a 20 dollar bill. The store has no bills and gives the change in quarters and 50-cent pieces. There are 30 coins in all.How many of each kind are there?<BR>\n" );
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document.write( "Change = $10.50<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq.::: q   +   f   = 30<BR>\n" );
document.write( "Value Eq;;;;;;25q   + 50f   = 1050 cents<BR>\n" );
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document.write( "Solve by substitution:<BR>\n" );
document.write( "q = 30-f<BR>\n" );
document.write( "Substitute to get: 25(30-f) + 50f = 1050<BR>\n" );
document.write( "750 - 25f+ 50f = 1050<BR>\n" );
document.write( "25f = 300<BR>\n" );
document.write( "f = 12 (# of 50-cent pieces)<BR>\n" );
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document.write( "Substitute into q + f = 30 to solve for \"q\":<BR>\n" );
document.write( "q + 12  = 30<BR>\n" );
document.write( "q = 18 (# of quarters in the change)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "  </SPAN>\n" );
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