document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885553>Question 885553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ratio of land to water is 1:2 for the whole world, the above ratio is 2:3 for northern hemisphere. what is the above ratio on the southern hemisphere? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535228 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the total square feet of land in the world.<BR>\n" );
document.write( "since the ratio of land to water is 1/2, this mean that the total square feet of water in the world is 2x<BR>\n" );
document.write( "the total combined land and water in the world is therefore 3x.<BR>\n" );
document.write( "the northern hemisphere is one half of this and the southern hemisphere is one half of this, so we get.<BR>\n" );
document.write( "total of land and water in the northern hemisphere is 1.5x.<BR>\n" );
document.write( "total of land and water in the southern hemisphere is 1.5x.<BR>\n" );
document.write( "in the northern hemisphere, the ratio of land to water is 2/3.<BR>\n" );
document.write( "this means that 2/5 of the northern hemisphere is covered by land and 3/5 of the northern hemisphere is covered by water.<BR>\n" );
document.write( "2/5 * 1.5x = .6x<BR>\n" );
document.write( "3/5 * 1.5x = .9x<BR>\n" );
document.write( "since the total land in the world is equal to x, this means that the southern hemisphere must have x - .6x = .4x of land.<BR>\n" );
document.write( "since the total water in the world is equal to 2x, this also means that the southern hemisphere must have 2x - .9x = 1.1x of water.<BR>\n" );
document.write( "the ratio of land to water in the southern hemisphere is therefore .4 to 1.1 which is the same as 4/11.\r<BR>\n" );
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document.write( "let's see if this makes sense.<BR>\n" );
document.write( "the total of land and water in both north and south hemispheres is equal to 3x which allows for 1.5x in the north and 1.5x in the south.<BR>\n" );
document.write( "this can also be written as 3/2*x in the north and 3/2*x in the south.\r<BR>\n" );
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document.write( "the ratio of land to water in the north is 2/3 which means 2/5 of the total area is land and 3/5 of the total area is water.<BR>\n" );
document.write( "since the total area is 3/2 * x, this means that:<BR>\n" );
document.write( "2/5 * 3/2 * x = 6/10 * x is land<BR>\n" );
document.write( "3/5 * 3/2 * x = 9/10 * x is water.\r<BR>\n" );
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document.write( "the ratio of land to water in the south is 4/11 which means that 4/15 of the total area is land and 11/15 of the total area is water.<BR>\n" );
document.write( "since the total area is 3/2 * x, this means that:<BR>\n" );
document.write( "4/15 * 3/2 * x = 12/30 * x is land.<BR>\n" );
document.write( "11/15 * 3/2 * x = 33/30 * x is water.\r<BR>\n" );
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document.write( "the total land area in the world is equal to 6/10 * x in the north and 12/30 * x in the south which gets you a total of 18/30 * x + 12/30 * x which is equal to 30/30 * x which is equal to x area of land in the world.\r<BR>\n" );
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document.write( "the total water area in the world is equal to 9/10 * x in the north and 33/30 * x in the south which gets you a total of 27/30 * x in the north and 33/30 * x in the south which is equal to 60/30 * x which is equal to 2 * x area of water in the world.\r<BR>\n" );
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document.write( "the overall ratio of land to water is therefore equal to x / 2 * x which is equal to 1/2 which is here we started so the ratios are good.\r<BR>\n" );
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document.write( "the ratios are:\r<BR>\n" );
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document.write( "1 to 2 land to water ratio overall<BR>\n" );
document.write( "2 to 3 land to water ratio northern hemisphere.<BR>\n" );
document.write( "4 to 11 land to water ratio southern hemisphere.\r<BR>\n" );
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document.write( "if x's bother you, you can also confirm this with numbers.\r<BR>\n" );
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document.write( "assume the total area in the world is equal to 6 million acres.<BR>\n" );
document.write( "this is not a real number, but should be good enough to figure out what we need to do.<BR>\n" );
document.write( "divide this into north and south and the north gets 3 million acres and the south gets 3 million acres.<BR>\n" );
document.write( "the ratio of land to water in the north is 2 to 3 which means that 2/5 of the area is land and 3/5 of the area is water.<BR>\n" );
document.write( "this gives the north 1.2 million acres of land and 1.8 acres of water.<BR>\n" );
document.write( "the ratio of land to water in the south is 4/11 which means that 4/15 of the area is land and 11/15 of the area is water.<BR>\n" );
document.write( "this gives the south .8 million acres of land and 2.2 million acres of water.<BR>\n" );
document.write( "add up all the area of land in the world and water in the world and you get:<BR>\n" );
document.write( "total land = north land and south land = 1.2 + .8 = 2 million acres.<BR>\n" );
document.write( "total water = north water and south water = 1.8 + 2.2 = 4 million acres.<BR>\n" );
document.write( "total acres in the world is 6, 2 of which are land and 4 of which are water.<BR>\n" );
document.write( "overall ratio of land to water in the world holds so the numbers are good.\r<BR>\n" );
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document.write( "the solution to this problem is the ratio of land to water in the southern hemisphere is 4 to 11.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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