document.write( "Question 1141566: A bowl contains orange and green candles. The probability of randomly selecting an orange can is 1/4 and the probability of randomly selecting a green candy is 1/6. Which of the following could be the total number of candles in the bowl.
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Algebra.Com's Answer #762140 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x = # of orange candles and y = # of green candles.\r\n" );
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document.write( "Then from the condition\r\n" );
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document.write( " = ,      (1)\r\n" );
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document.write( " = .      (2)\r\n" );
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document.write( "From this system\r\n" );
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document.write( "4x = x + y                (3)\r\n" );
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document.write( "6y = x + y                (4)\r\n" );
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document.write( "To solve it, express  y = 4x - x = 3x  from equation (3) and substitute it into equation (4). You will get\r\n" );
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document.write( "6*(3x) = x + 3x,\r\n" );
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document.write( "18x = 4x\r\n" );
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document.write( "It has the solution  x= 0  ONLY.\r\n" );
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document.write( "Similarly,  y= 0 is the only solution for y.\r\n" );
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document.write( "ANSWER.  The condition describes an IMPOSSIBLE situation.\r\n" );
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document.write( "         The events, described in the post, NEVER MAY happen.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "An auxiliary note :\r
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document.write( "    The condition mixes candles, cans and candies by a bizarre way.\r\n" );
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