document.write( "Question 1185233: The members of a mathematics club agreed to contribute equally to
\n" ); document.write( "provide a fund of P240. If there had been 3 more members each would
\n" ); document.write( "have paid P4 less than the original agreement. How many members
\n" ); document.write( "were present in the club? \n" ); document.write( "

Algebra.Com's Answer #816027 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "The members of a mathematics club agreed to contribute equally to
\n" ); document.write( "provide a fund of P240. If there had been 3 more members each would
\n" ); document.write( "have paid P4 less than the original agreement. How many members
\n" ); document.write( "were present in the club?
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document.write( "Let n be the number of members.\r\n" );
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document.write( "Then each contributes    pesos.\r\n" );
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document.write( "Had the number of members be (n+3),  each would contribute    pesos.\r\n" );
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document.write( "The problem says\r\n" );
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document.write( "     -  = 4  pesos.    (1)\r\n" );
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document.write( "Cancel the factor 4 in both sides\r\n" );
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document.write( "     -  = 1.    (2)\r\n" );
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document.write( "From this point, you may reduce the problem to the quadratic equation, which can be solved by factoring.\r\n" );
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document.write( "Alternatively, you can easily GUESS the solution MENTALLY :  n= 12.\r\n" );
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document.write( "CHECK.   -  =  -  = 5 - 4 = 1.    ! Equation (2) is held !\r\n" );
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document.write( "ANSWER.  There are 12 members in the club.\r\n" );
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