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document.write( "1. From the condition,\r\n" );
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= 
. (1)\r\n" );
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document.write( " Multiply both sides by 12. You will get\r\n" );
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document.write( " 8M = 9W. (2)\r\n" );
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document.write( " or\r\n" );
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document.write( " M = 
(3)\r\n" );
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document.write( "2. They ask you to evaluate the ratio of + (the amount of married people) to\r\n" );
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document.write( " (M+W) (the total adult population of the condo complex). \r\n" );
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document.write( " The numerator is + = 
(4)\r\n" );
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document.write( " In (4), replace 8M by 9W, based on (2). Then you can continue for the numerator\r\n" );
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document.write( " + = = 
= 
= 
.\r\n" );
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document.write( " The denominator is M + W = 
= 
. ( <<<---=== I replaced here M by based on (3). )\r\n" );
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document.write( "3. Now the ratio under the question\r\n" );
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document.write( " 
= 
= 
= 
= 
= 
.\r\n" );
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document.write( "Answer. The ratio under the question = .\r\n" );
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document.write( "Solved.\r
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document.write( "=============\r
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document.write( "The technique should not cloud / (obscure) a simple idea behind the solution.\r
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document.write( "The most general formulation of such problems is THIS:\r
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document.write( " You are given two linear forms (functions) of two variable x and y: p(x,y) = ax + by and q(x,y) = cx + dy.\r\n" );
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document.write( " You are given also linear dependence between these two variables 
= e.\r\n" );
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document.write( " Then they ask you evaluate the ratio 
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document.write( "The solution is very simple:\r\n" );
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document.write( " you express x = ey and substitute it into each of the two linear functions:\r\n" );
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document.write( " p(x,y) = ax + b*ex = (a + be)*x,\r\n" );
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document.write( " q(x,y) = cx + d*ex = (c + de)*x.\r\n" );
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document.write( "Thus each of the two functions p(x,y) and q(x,y) becomes the linear function of one variable (linear proportionality).\r\n" );
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document.write( "Then the ratio of the forms p(x,y) = ax + by and q(x,y) = cx + dy is\r\n" );
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= 
= 
= constant not depending on x and y.\r\n" );
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document.write( "That's all.\r\n" );
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document.write( "So you actually can create/generate million of similar problems based on this technology . . . \r
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document.write( "/\/\/\/\/\/\/\/\/\r
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document.write( "The post by the tutor @amalm is W R O N G.\r
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document.write( "For your safety, simply ignore it . . . \r
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