SOLUTION: Hi 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 wom

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Question 1209416: Hi
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.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52832) About Me  (Show Source):
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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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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

    %2818.5x%29%2F%2811.5x%29 = cancel x and multiply both the numerator and the denominator by 2 = 37%2F23.


At this point, the solution is complete.


ANSWER.  The ratio of women to men in the factory is  37%2F23.

Solved.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of women to men in group P is 11:4, so let the numbers of women and men be 11x and 4x.

The ratio of women to men in group Q is 1:1, so let the numbers of women and men be y and y.

The total number of people in group P is 15x; the total number in group Q is 2y. Those two numbers 15x and 2y must be equal positive integers. The smallest values of x and y that satisfy that condition are x=2 and y=15.

So in group P there are 11x = 22 women and 4x = 8 men; in group Q there are y = 15 women and y =15 men. The total number of women is 22+15 = 37; the total number of men is 8+15 = 23.

ANSWER: 37:23