document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339469>Question 339469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12. Erica has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have? <BR>\n" );
document.write( "(A) 32 <BR>\n" );
document.write( "(B) 30 <BR>\n" );
document.write( "(C) 29 <BR>\n" );
document.write( "(D) 28 <BR>\n" );
document.write( "(E) 27 \r<BR>\n" );
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document.write( "Please explain the above problem. Would really appreciate.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #243255 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let F=Number of $5 bills<BR>\n" );
document.write( "let T=Number of $10 bills<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "expression 1: T < F<BR>\n" );
document.write( "expression 2: 5*F+10*T=460<BR>\n" );
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document.write( "Solve for F in the second expression<BR>\n" );
document.write( "F=(460-10*T)/5=92-2*T<BR>\n" );
document.write( "--<BR>\n" );
document.write( "since we know that T is less than F then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+T%3CF=92-2%2AT ALIGN=MIDDLE  ALT=\"+T%3CF=92-2%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3*T<92<BR>\n" );
document.write( "T<92/3=30.667 but since we are dealing with whole numbers\r<BR>\n" );
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document.write( "T=30<BR>\n" );
document.write( "substituting T=30 in F=92-2*T=92-60=32<BR>\n" );
document.write( "--<BR>\n" );
document.write( "lets check<BR>\n" );
document.write( "Choose values of T around T=30<BR>\n" );
document.write( "if T=29 then F=92-2*29=34 So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%3CF=true ALIGN=MIDDLE  ALT=\"T%3CF=true\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if T=31 then F=92-2*31=30 but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%3CF ALIGN=MIDDLE  ALT=\"T%3CF\"   DISABLED_style= \"max-width:90%; height:auto;\" > no longer holds true<BR>\n" );
document.write( "--<BR>\n" );
document.write( "so the pivot point for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%3CF ALIGN=MIDDLE  ALT=\"T%3CF\"   DISABLED_style= \"max-width:90%; height:auto;\" > is T=30 which means F=32 </SPAN>\n" );
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