SOLUTION: in a certain population, 30% of the women are married and 40% of the men are married. what percent of the total population in married? round answer to the nearest tenth of a percen

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Question 528157: in a certain population, 30% of the women are married and 40% of the men are married. what percent of the total population in married? round answer to the nearest tenth of a percent. assume that one woman is married to one man and that each couple resides in this population-
Found 2 solutions by josmiceli, KMST:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = number of women in population
Let +m+ = number of men in population
Because the married women and married
men are paired with each other, I can say
+.3w+=+.4m+
+m+=+%283%2F4%29%2Aw+
I am asked to find:

+.6w+%2F+1.75w+=+.3428+
To the nearest 1/10 of a percent,
34.3% of the population is married

Answer by KMST(5399) About Me  (Show Source):
You can put this solution on YOUR website!
Let m be the number of men in the population, and w be the number of women in the population.
The number of married men, equalling the number of married women is
%284%2F10%29m=%283%2F10%29w
That means that
m=%283%2F10%29%2810%2F4%29w=%283%2F4%29w
So the total of the population is
m%2Bw=w%2B%283%2F4%29w=%287%2F4%29w
The number of married people is twice the number of married women or
2%283%2F10%29w=%286%2F10%29w
And the fraction of the population that is married is
%286%2F10%29w%2F%28%287%2F4%29w%29=%286%2F10%29%284%2F7%29=24%2F70
That's 34%, or 34.3%, or 34.29%, or ...
Maybe there were just 70 people in that town, 40 women and 30 men, including 12 couples.