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In a village, there are 20% more women than men. What percentage of the total population are women?
Mathematics
ScanSolve AI Answer
Step-by-step solution
4 stepsDefine variables for the number of men and women.
Let be the number of men in the village.
Let be the number of women in the village.Express the number of women in terms of the number of men.
The problem states there are more women than men. This means the number of women is the number of men plus of the number of men.
Express the total population in terms of the number of men.
The total population () is the sum of men and women.
Substitute the expression for from Step 2:
Calculate the percentage of women in the total population.
The percentage of women is the number of women divided by the total population, multiplied by .
Substitute the expressions for and from Step 2 and Step 3:
The terms cancel out:
The percentage of women in the village is .
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