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

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) (Show Source): You can put this solution on YOUR website!
Let = number of women in population
Let = number of men in population
Because the married women and married
men are paired with each other, I can say

I am asked to find:

To the nearest 1/10 of a percent,
34.3% of the population is married
Answer by KMST(5328) (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

That means that

So the total of the population is

The number of married people is twice the number of married women or

And the fraction of the population that is married is

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.
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