document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698137>Question 698137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A store keeper sells ping pong balls in two different boxes. One size holds 5 balls and the other 12 balls. How many boxes of each kind did the store keeper sell if he sold 99 balls and used more than 10 boxes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430475 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If he sold 11 boxes,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+11+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+5b+=+55+ ALIGN=MIDDLE  ALT=\"+5a+%2B+5b+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Do the subtraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5a+-+5b+=+-55+ ALIGN=MIDDLE  ALT=\"+-5a+-+5b+=+-55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7b+=+44+ ALIGN=MIDDLE  ALT=\"+7b+=+44+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a fraction, so doesn't work<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+13+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+5b+=+65+ ALIGN=MIDDLE  ALT=\"+5a+%2B+5b+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5a+-+5b+=+-65+ ALIGN=MIDDLE  ALT=\"+-5a+-+5b+=+-65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7b+=+34+ ALIGN=MIDDLE  ALT=\"+7b+=+34+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is still a fraction<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "I notice that in each case,<BR>\n" );
document.write( "99 - 5*( number of boxes ) must be divisible by 7<BR>\n" );
document.write( "99 - 5*14<BR>\n" );
document.write( "99 - 70 = 29 -no<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "99 - 5*15 <BR>\n" );
document.write( "99 - 75 = 24 -no<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "99 - 5*16<BR>\n" );
document.write( "99 -80 = 19 -no<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "99 - 5*17<BR>\n" );
document.write( "99 - 85 = 14 -yes<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+17+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+5b+=+85+ ALIGN=MIDDLE  ALT=\"+5a+%2B+5b+=+85+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the subtraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5a+-+5b+=+-85+ ALIGN=MIDDLE  ALT=\"+-5a+-+5b+=+-85+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7b+=+14+ ALIGN=MIDDLE  ALT=\"+7b+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+2+ ALIGN=MIDDLE  ALT=\"+b+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+17+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+15+ ALIGN=MIDDLE  ALT=\"+a+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The storekeeper used 15 of the boxes of 5<BR>\n" );
document.write( "and 2 of the boxes of 12<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5a+%2B+12b+=+99+ ALIGN=MIDDLE  ALT=\"+5a+%2B+12b+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A15+%2B+12%2A2+=+99+ ALIGN=MIDDLE  ALT=\"+5%2A15+%2B+12%2A2+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75+%2B+24+=+99+ ALIGN=MIDDLE  ALT=\"+75+%2B+24+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+99+=+99+ ALIGN=MIDDLE  ALT=\"+99+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );