document.write( "Question 1033403: The volume of construction work was increased by 60% but the productivity of labor increased by only 25% By wha percent must the workers be increased? \n" ); document.write( "

Algebra.Com's Answer #648017 by ikleyn(52855) $\"\"$ $\"About$

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\n" ); document.write( "The volume of construction work was increased by 60%, but the productivity of labor increased by only 25%.
\n" ); document.write( "By what percent must $\"highlight%28the_number_of%29\"$ the workers be increased?
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document.write( "Let V be the original volume of construction work (the volume \"before\"),\r\n" );
document.write( "    r be the productivity of labor \"before\", \r\n" );
document.write( "    N be the number of workers \"before\", and\r\n" );
document.write( "    x be in what percent  the number of workers must be increased.\r\n" );
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document.write( "According to the condition, these quantities are constrained/connected by the equations\r\n" );
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document.write( "V     = r*N,                (1)      and \r\n" );
document.write( "1.6*V = 1.25r*N*(1+x).      (2)\r\n" );
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document.write( "From these equations,\r\n" );
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document.write( "x =  =  =  = 1.28 - 1 = 0.28.\r\n" );
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document.write( "Answer.  The number of workers must be increased by 28%.\r\n" );
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