document.write( "Question 1209416: Hi
\n" ); document.write( "The workers in a factory are divided equally into 2 groups P and Q. The ratio of women to men in P is 11 to 4.The ratio of women to men in Q is 1 to 1. What is the ratio of women to men in the factory.
\n" ); document.write( "

Algebra.Com's Answer #848772 by ikleyn(52847)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The workers in a factory are divided equally into 2 groups P and Q.
\n" ); document.write( "The ratio of women to men in P is 11 to 4.
\n" ); document.write( "The ratio of women to men in Q is 1 to 1.
\n" ); document.write( "What is the ratio of women to men in the factory.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "From the condition, in P:  11x women\r\n" );
document.write( "                            4x   men\r\n" );
document.write( "\r\n" );
document.write( "Total in P:  11x + 4x = 15x persons.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In Q, there are also 15x persons: 7.5x men and 7.5x women.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Very good.  So, the total number of women in P and Q is 11x + 7.5x = 18.5x.\r\n" );
document.write( "\r\n" );
document.write( "                the total number of   men in P and Q is  4x + 7.5x = 11.5x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The ratio under the question\r\n" );
document.write( "\r\n" );
document.write( "    \"%2818.5x%29%2F%2811.5x%29\" = cancel x and multiply both the numerator and the denominator by 2 = \"37%2F23\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At this point, the solution is complete.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The ratio of women to men in the factory is  \"37%2F23\".\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );