document.write( "Question 1126410: simon saw antelopes and crows in the meadow at the zoo. He counted 26 heads and 66 legs. How many antelopes did he see? \n" ); document.write( "
Algebra.Com's Answer #742711 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            Actually,  it is an entertainment problem,  and a good style and a tradition requires it to be solved by a special method.\r
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\n" ); document.write( "\n" ); document.write( "One line solution\r
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document.write( "The number of antelopes = \"%2866-26%2A2%29%2F%284-2%29\" = 7.    ANSWER:  7 antelopes.\r\n" );
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document.write( "Check.  7*4 + (26-7)*2 = 66 legs.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Explanation to the one line solution\r
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document.write( "    There is no need to explain that each crow has 2 legs, while each antelope has 4 legs.\r\n" );
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document.write( "    Let assume for a minute that all creatures in this problem have 2 legs each.\r\n" );
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document.write( "    Then the total number of legs would be 2*26 = 52.\r\n" );
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document.write( "    But we are given 66 legs.\r\n" );
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document.write( "    The shortage  of  66-52 = 14 legs is because we assumed and counted only 2 legs for each antelope, same as for each crow.\r\n" );
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document.write( "    So we need to fix our calculations, by returning 2 legs with each antelope.\r\n" );
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document.write( "    Therefore, we divide  66-52 = 14 legs  by  2 = (4-2), exactly as the formula does, and obtain \r\n" );
document.write( "    our answer - the number of antelopes - in this way.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is totally legal solution.      //      I mean - it is not a joke !\r
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Problem on two-wheel and three-wheel bicycles\r
\n" ); document.write( "\n" ); document.write( "    - Problem on animals at a farm\r
\n" ); document.write( "\n" ); document.write( "    - Problem on pills in containers\r
\n" ); document.write( "\n" ); document.write( "    - What type of problems are these? \r
\n" ); document.write( "\n" ); document.write( "in this site and find there many other similar problems solved by the same method.\r
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\n" ); document.write( "\n" ); document.write( "This method is applicable to traditional coin problems;  to standard ticket problems;  and even to traditional and standard mixture problems.\r
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\n" ); document.write( "\n" ); document.write( "It works in this problem and in all mentioned problems in an equal basis with the true  Algebra methods,  such as
\n" ); document.write( "reducing to a single linear equation or reducing to systems of linear equations.\r
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\n" ); document.write( "\n" ); document.write( "Moreover,  when you will learn Algebra more,  you will understand and will recognize that this  \"one line formula\"  is nothing else \r
\n" ); document.write( "\n" ); document.write( "as the solution by the determinant method,  which is the same as the Cramer's rule.\r
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\n" ); document.write( "\n" ); document.write( "So,  this \"one line formula\" is simply a shortcut for these more complicated methods.\r
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\n" ); document.write( "\n" ); document.write( "Armed with the logic of this solution,  you will be able to solve many similar problems even without using equations
\n" ); document.write( "(practically MENTALLY)  with this shortcut formula,  and the logic will lead you and will prevent you of making errors,
\n" ); document.write( "when you use this \"one line formula\" method.\r
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\n" ); document.write( "\n" ); document.write( "In this way,  through the given entertainment problem you get better understanding Algebra, as well as the fast solution method in your hands.\r
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\n" ); document.write( "\n" ); document.write( "It is why I wrote this post.\r
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