document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31103>Question 31103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A full grown giraffe is about 6 times heavier than a full grown lion. A full grown cheetah is about one quarter as heavy as a full grown lion. Together, they are about 450kg. What is the approximate mass of each animal?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17801 by </B><A HREF=/tutors/aboutme.mpl?userid=ikdeep><B>ikdeep(226)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikdeep><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=ikdeep><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let weight of full grown giraffe = g <BR>\n" );
document.write( "Let weight of full grown lion    = l <BR>\n" );
document.write( "Let weight of full grown chettah = c\r<BR>\n" );
document.write( "\n" );
document.write( "According to first condition i.e. full-grown giraffe is about 6 times heavier than a full grown lion.... we get the equation  \r<BR>\n" );
document.write( "\n" );
document.write( "g = 6l.................(1)\r<BR>\n" );
document.write( "\n" );
document.write( "According to second condition i.e. A full grown cheetah is about one quarter as heavy as a full grown lion.... we get the equation  \r<BR>\n" );
document.write( "\n" );
document.write( "c = l/4.................(2)\r<BR>\n" );
document.write( "\n" );
document.write( "According to third condition i.e. Together, they are about 450kg.... we get the equation  ..\r<BR>\n" );
document.write( "\n" );
document.write( "g + c + l = 450kg\r<BR>\n" );
document.write( "\n" );
document.write( "Putting the values of g and c from (1) and (2)...we get \r<BR>\n" );
document.write( "\n" );
document.write( "6l + l/4 + l = 450\r<BR>\n" );
document.write( "\n" );
document.write( "solving the LHS and taking the LCM would give us ...\r<BR>\n" );
document.write( "\n" );
document.write( "29l/4 = 450\r<BR>\n" );
document.write( "\n" );
document.write( "on cross multipication we get ....\r<BR>\n" );
document.write( "\n" );
document.write( "29l = 1800\r<BR>\n" );
document.write( "\n" );
document.write( "l = 62 kg apporoximately..\r<BR>\n" );
document.write( "\n" );
document.write( "Now put the value of l in (1) and (2) we get..\r<BR>\n" );
document.write( "\n" );
document.write( "g = 6l\r<BR>\n" );
document.write( "\n" );
document.write( " = 6 * 62\r<BR>\n" );
document.write( "\n" );
document.write( " = 372kg\r<BR>\n" );
document.write( "\n" );
document.write( "c = l/4 \r<BR>\n" );
document.write( "\n" );
document.write( "  = 62/4\r<BR>\n" );
document.write( "\n" );
document.write( "  = 16 kg appoximately..\r<BR>\n" );
document.write( "\n" );
document.write( "therefore lion = 62kg ,,,,giraffe = 372kg and chettah = 16kg...and to verify ,,,if we add their weight adds upto 450kg,,,, which is our third condition in the question...<BR>\n" );
document.write( "          \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );