document.write( "Question 1210358: A factory has 80 employees. If the number of men is doubled and the women tripled, the staff strength would be 190. Find the initial number of men and women working in the factory. \n" ); document.write( "

Algebra.Com's Answer #852042 by ikleyn(52756) $\"\"$ $\"About$

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\n" ); document.write( "A factory has 80 employees. If the number of men is doubled and the women tripled,
\n" ); document.write( "the staff strength would be 190. Find the initial number of men and women working in the factory.
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document.write( "Let m be the number of men   the factory has.\r\n" );
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document.write( "Let w be the number of women the factory has.\r\n" );
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document.write( "Write equations as you red the problem\r\n" );
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document.write( "     m +  w =  80,      (1)\r\n" );
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document.write( "    2m + 3w = 190.      (2)\r\n" );
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document.write( "To solve this system of equations, multiply equation (1) by 2; \r\n" );
document.write( "keep equation (2) as is\r\n" );
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document.write( "    2m + 2w = 160,      (3)\r\n" );
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document.write( "    2m + 3w = 190.      (4)\r\n" );
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document.write( "Now subtract equation (3) from equation (2).  You will get\r\n" );
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document.write( "         3w - 2w = 190 - 160\r\n" );
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document.write( "            w    =     30.\r\n" );
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document.write( "Thus the number of women is 30.\r\n" );
document.write( "The number of men is 80-30 = 50.\r\n" );
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