document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535530>Question 535530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me solve this Inequality?<BR>\n" );
document.write( "Problem:\r<BR>\n" );
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document.write( "A purse contains 30 coins, all either quarters or dimes. The total value of the coins is greater than $5.20. At least how many of the coins are quarters? At most, how many are dimes?\r<BR>\n" );
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document.write( "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 #351954 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=351954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> q = quarters, d=dimes.<P><BR>\n" );
document.write( "q+d=30<P><BR>\n" );
document.write( ".25q+.1d>5.20<P><BR>\n" );
document.write( "Solve the first equation for d in terms of q.<P><BR>\n" );
document.write( "d=30-q<P><BR>\n" );
document.write( "Substitute that for d in the second equation.<BR>\n" );
document.write( ".25q + .1(30-q)>5.20<P>\r<BR>\n" );
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document.write( ".25q +3 -.1q <5.20<P><BR>\n" );
document.write( ".15q>2.20<BR>\n" );
document.write( "q>14.67<P><BR>\n" );
document.write( "At least 15 of the coins are quarters.<P><BR>\n" );
document.write( "We can solve the first equation for d, but it's clear just by looking that d=15 when q=15.  That means at most 15 of the coins are dimes.<P>\r<BR>\n" );
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document.write( "<B>Check my profile and contact me for one on one online tutoring.  I can \r<BR>\n" );
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document.write( "help you understand this with one on one online tutoring.  It's one thing to \r<BR>\n" );
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document.write( "follow an example, but even better if you understand the concept.</B><P> </SPAN>\n" );
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