document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458795>Question 458795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) Find the smallest sum of 2 perfect squares that end with the digit 9.<BR>\n" );
document.write( "b) Yellow buttons are sold in packets of 1080 and green buttons are sold in packets of1350. Siti wants to have an equal number of each type of buttons.<BR>\n" );
document.write( "(i) Find the least number of packets of each type of buttons Siti has to buy.<BR>\n" );
document.write( "(ii) Hence find the number of packets of each type of buttons Siti has to buy.<BR>\n" );
document.write( "c) A straight row of trees is to be planted on a 100m stretch of road. If the trees are equally spaced at 5m, how many trees would be planted? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314723 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2+%2B+5%5E2+=+4+%2B+25+=+29 ALIGN=MIDDLE  ALT=\"2%5E2+%2B+5%5E2+=+4+%2B+25+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b)  Find the lcm of 1080 and 1350:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080+=+2%5E3%2A3%5E3%2A5 ALIGN=MIDDLE  ALT=\"1080+=+2%5E3%2A3%5E3%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1350+=+2%2A3%5E3%2A5%5E2 ALIGN=MIDDLE  ALT=\"1350+=+2%2A3%5E3%2A5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> LCM is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3%2A3%5E3%2A5%5E2+=+5400 ALIGN=MIDDLE  ALT=\"2%5E3%2A3%5E3%2A5%5E2+=+5400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence Siti has to buy 5400/1080 = 5 packets of yellow buttons, and <BR>\n" );
document.write( "5400/1350 = 4 packets of green buttons.  (These give the least number of packets for each color.)\r<BR>\n" );
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document.write( "c)  100/5 + 1 = 21 trees </SPAN>\n" );
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