document.write( "Question 1101072: In a class of 96 student the number of girls is three - fifth of the number of boys. find the number of boys and girls in the class \n" ); document.write( "

Algebra.Com's Answer #715654 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let B = # of boys;  G = # of girls.\r\n" );
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document.write( "From the condition, we have these two equations\r\n" );
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document.write( "B + G = 96,    (1)\r\n" );
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document.write( "G =       (2)\r\n" );
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document.write( "Substitute (2) into eq(1), replacing G. You will get\r\n" );
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document.write( "B +  = 96.\r\n" );
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document.write( "Multiply both sides by 5.  You will get\r\n" );
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document.write( "5B + 3B = 5*96  ====>  8B = 5*96  ====>  B =  = 5*12 = 60.\r\n" );
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document.write( "Answer.  There are 60 boys and 96-60 = 36 girls in the class.\r\n" );
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