Question 1209416
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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. 
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<pre>
From the condition, in P:  11x women
                            4x   men

Total in P:  11x + 4x = 15x persons.


In Q, there are also 15x persons: 7.5x men and 7.5x women.


Very good.  So, the total number of women in P and Q is 11x + 7.5x = 18.5x.

                the total number of   men in P and Q is  4x + 7.5x = 11.5x.


The ratio under the question

    {{{(18.5x)/(11.5x)}}} = cancel x and multiply both the numerator and the denominator by 2 = {{{37/23}}}.


At this point, the solution is complete.


<U>ANSWER</U>.  The ratio of women to men in the factory is  {{{37/23}}}.
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Solved.